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Find the number of triangles in the given figure 18 20 24 27

Calculate number of triangles in a square. Type - 1 : Counting triangles with in Square, Rectangle, Quadrilateral Find the number of triangles in the above figures. Figure - 1 : Number of triangles in Fig - 1 = 8. Hint: Here having total two diagonals and having four blocks. So formula for that 4 x 2 = 8 number of triangles. Figure - 2. Math Warehouse's popular online triangle calculator: Enter any valid combination of sides/angles(3 sides, 2 sides and an angle or 2 angle and a 1 side) , and our calculator will do the rest! It will even tell you if more than 1 triangle can be created Hint : If the given figure has only one square or rectangle, then the formula to find the number of triangles is. Number of diagonals ⋅ Number of blocks If it has combination of more than one squares, we have to mark the spot where it joins

The triangles composed of two components each are ABO, AHO, NIJ, IGP, ICP, DEQ, FEQ, KLM, LCP and LGP i.e.10 in number. The triangles composed of four components each are HAB, DEF, LGI, GIC, ICL and GLC i.e. 6 in number. Total number of triangles in the figure = 8 + 10 + 6 = 24 What is the total number of triangles in the given figure? 16. 32. 40. 12. A. 16. 99 Views. Answer. 2. Find the number of triangles in the figure. There are following triangles in the given figure. ABG, BGF, BFC, CFE, DCE Answer. 7. How many triangles are there in the question figure? 18. 24. 28. 30. C. 28. 62 Views. Answer. 8. How many. The triangles composed of three components each are APF, EQB, BQH, GVC, CVJ, IUD, DUL and KPA i.e. 8 in number. The triangles composed of six components each are ASB, BSG, CSD, DSA, AKF, EBH, GGJ and IDL i.e. 8 in number. The triangles composed of twelve components each are ADB, ABC, BCD and CDA i.e. 4 in number. Total number of triangles in.

Find the Number of triangles in the given figure Count

  1. Count the number of triangle was one of the most popular kind of puzzles back in the school time. Classmates used to even bet (in a friendly manner) with each other upon the right answer. If you didn't, you missed a lot. Nevertheless, we have come up with the same for you with this list of number triangles puzzles. Do you accept the bet now
  2. A right triangle has two sides perpendicular to each other. Sides a and b are the perpendicular sides and side c is the hypothenuse. Enter the length of any two sides and leave the side to be calculated blank. Please check out also the Regular Triangle Calculator and the Irregular Triangle Calculator
  3. D : (Qu 27 TO 29) Identify the number of specified Geometric shapes in the given diagrams and mark the correct answer. 27.How many number of triangles and parallelograms are there in the given figure respectively ? (1) 22, 17 (2) 19, 13 (3) 22, 15 (4) 19, 17 A. (1) S. Triangles = 22 Parallelogram = 17 (By observation) 28
  4. Q4) Count the number of triangles and squares in the given figure 1) 21 triangles, 7 squares 2) 18 triangles, 8 squares 3) 20 triangles, 8 squares 4) 22 triangles, 7 squares Solution: The figure may be labelled as shown. Triangles: The simplest triangles are BPN, PNE, ABM, EFG, MLK, GHI, QRO, RSO, STO and QTO i.e. 10 in number
  5. Q30) Find the number of triangles in the given figure. (a) 27 (b) 25 (c) 23 (d) 21 Correct Answer: a Q31) Find the number of triangles in the given figure. (a) 16 (b) 18 (c) 19 (d) 21 Correct Answer: d Q32) Count the number of triangles and squares in the given figure. (a) 36 triangles, 7 squares (b) 38 triangles, 9 square
  6. There are following triangles in the given figure.ABG, BGF, BFC, CFE, DCEHence, there are total five triangles in the given figure. How many triangles are there in the question figure? 18. 24. 28. 30. C. 28. 62 Views. Answer. 3. How many triangles are there in the given diagram? 6. 10. 12. 14. D. 14. Find out the number of triangles in.

Find an answer to your question Find the number of triangles in the given figure.(1) 28(3) 36(2) 32(4) 4 This discussion on Find the number of triangles in the given figure.a)12b)18c)22d)26Correct answer is option 'B'. Can you explain this answer? is done on EduRev Study Group by UPSC Students. The Questions and Answers of Find the number of triangles in the given figure.a)12b)18c)22d)26Correct answer is option 'B' The triangles composed of twelve components each are ABD, ABC, BCD and ACD i.e. 4 in number. Thus, there are 1 6 + 4 + 8 + 4 + 4 + 8 + 4 = 4 8 triangles in the figure. Answer verified by Topp Dear Students, in this post we are sharing Shortcuts to Count Number of Triangles in the given geometrical figure. Its very important topic of non-verbal reasoning subject. Number of triangles=4*2 + 4*2 + 2= 8+8+2=18 count the number of triangles in the given figure formula In the following questions, count the number of triangles and squares in the given figure. (A) 44 triangles,10 squares (B) 14 triangles, 16 squares (C) 27 triangles,6 squares (D) 36 triangles, 9 square

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Specifying the three angles of a triangle does not uniquely identify one triangle. Therefore, specifying two angles of a tringle allows you to calculate the third angle only. Given the sizes of 2 angles of a triangle you can calculate the size of the third angle. The total will equal 180° or π radians In the following question, count the number of parallelograms in the given figure. View solution Identify the number of specified geometric shapes in the given diagram and mark the correct answer EX: Given a = 3, c = 5, find b: 3 2 + b 2 = 5 2 9 + b 2 = 25 b 2 = 16 => b = 4. Law of sines: the ratio of the length of a side of a triangle to the sine of its opposite angle is constant. Using the law of sines makes it possible to find unknown angles and sides of a triangle given enough information The triangles ABC and A B C are similar to the similarity coefficient 2. The sizes of the angles of the triangle ABC are α = 35° and β = 48°. Find the magnitudes of all angles of triangle A B C . Calculate Calculate the area of the ABE triangle AB = 38mm and height E = 42mm ps: please try a quick calculation; Find the

Online Triangle Calculator

/questions/find-the-number-of-triangle-in-the-given-figure. Find the number of triangle in the given figure. 5. 103293 0. 5d2c4c6b1bb2cb57411855a2. Q: Find the number of triangle in the given figure. 1. 12. false. 2. 18. true. 3. 22. The total number of triangle is according to figure is 2+3+3+2+8=18. Assuming that you are talking about equilateral triangles, such as or and and so on, you would get [math](n * (n + 1) * (2n + 1)) / 6[/math] as the formula where n = side length. In essence, this is the formula for the sum of [math]1^2 + 2^2 + 3^2..

Counting Number of Triangles in the Given Figur

Calculate angles or sides of triangles with the Law of Sines. Calculator shows law of sine equations and work. Calculates triangle perimeter, semi-perimeter, area, radius of inscribed circle, and radius of circumscribed circle around triangle Question: Find The Number Of Triangles In The Figure Below. 26 28 O 24 22 This problem has been solved! See the answer. Show transcribed image text. Expert Answe Number of Triangles with Integer sides for a given perimeter. If the perimeter p is even then, total triangles is [p^2]/48. If the perimeter p is odd then, total triangles is [(p+3)^2]/48. Where [x] represents nearest integer function. Or by basic approach the largest side of the triangle is less than half the perimeter of the triangle

Find the number of triangles in the given figure

Number of elements in the given set is 7. So, cardinal number of set A is 7. That is n (A) = 7. Example 2 : Find the cardinal number of the following set A = {x : x is a prime factor of 12} Solution : To find the cardinal number of the given set, we have to count the number of elements of the set. So, first we have to list out the elements of. This free area calculator determines the area of a number of common shapes using both metric units and US customary units of length, including rectangle, triangle, trapezoid, circle, sector, ellipse, and parallelogram. Also, explore the surface area or volume calculators, as well as hundreds of other math, finance, fitness, and health calculators I would like to share a trick of solving such questions within seconds. I learnt this trick in a special aptitude class during my summer training. The 1st step in solving such triangle problems is to count the number of rows and columns in the pic.. Calculator solve triangle specified by all three sides (SSS congruence law). Uses Heron's formula and trigonometric functions to calculate the area and other properties of the given triangle. If you know that triangle is an equilateral triangle, isosceles or right triangle use specialized calculator for it calculation Calculate missing parts of a triangle Select 3 of these elements and type in data. a = b = c = α = ° β = ° γ = ° a comprehensive calculator for triangles to solve angles and sides in an easy way Calculate missing parts of a triangle Select 3 of these elements and type in data. a = b = c = α = ° β = ° γ = °.

How many triangles are there in the given figure? from

Answers is the place to go to get the answers you need and to ask the questions you wan RD Sharma solutions for Class 10 Maths chapter 7 (Triangles) include all questions with solution and detail explanation. This will clear students doubts about any question and improve application skills while preparing for board exams. The detailed, step-by-step solutions will help you understand the concepts better and clear your confusions, if any Given, Each triangle has an area of 24 cm 2. Pentagon has 5 sides. The number of congruent figures is 5. Now to find the area of the regular polygon we have to multiply the area of each triangle and number of congruent figures. Area of regular pentagon = 5 × 24 sq. cm A = 120 sq. cm Therefore the area of the pentagon is 120 sq. cm. Page No.

Enter any 3 sides into our our free online tool and it will apply the triangle inequality and show all work Right Triangle Trigonometry Trigonometric Ratios Example Find the sine, cosine, and tangent ratios for each of the acute angles in the following triangle. Solution: We first find the missing length of side RS. Solving the equation ( ) 12 13RS 22 2+=, we obtain RS =5. We then find the three basic trigonometric ratios for angle R On this page, you can solve math problems involving right triangles. You can calculate angle, side (adjacent, opposite, hypotenuse) and area of any right-angled triangle and use it in real world to find height and distances. Enter any two values and press calculate to get the other values. Side a: Side b: Side c Assuming smallest side of a triangle is 1 cms. Number of triangles with side 1 cms: 12(1 + 5 + 5 +1) Number of triangles with side 2 cms: 6(1 + 2(triangles facing upward), 1+2(triangles facing downward)) Number of triangles with side 3 cms: 2(1 triangle facing upward and 1 facing downwards). Thus, total number of triangles are 20 Area of an equilateral triangle. Area of a triangle given base and height. Area of a triangle given sides and angle. Area of a triangle (Heron's formula) Area of a triangle given base and angles. Area of a square. Area of a rectangle. Area of a trapezoid. Area of a rhombus. Area of a parallelogram given base and height. Area of a parallelogram.

Count The Number Of Triangles Genius Puzzle

How many triangles can be found out from the following

Triangle Sides Calculato

= (1/2) x 18 x 12 = 108 cm 2 The area of a triangle may required to be calculated in SI or metric or US customary unit systems, therefore this triangle area calculator is featured with major measurement units conversion function to find the output values in different customary units such as inches (in), feet (ft), meters (m), centimeters (cm. There are in total 27 triangles. Total no. Of Little triangles = 16 Total no. Of triangles with 4 smaller triangles inside them = 7 Total no. Of triangles with 9 smaller triangles inside them = 3 The largest outer triangle = 1 Therefore, total number of triangles = 16+7+3+1 = 27. Lionel Morbelli, My Hom the measure of two angles of an isosceles triangle or three X plus five degrees will say and X plus 16 degrees find all possible values of X so let's think about this let's draw ourselves an isosceles triangle or two so it's an isosceles triangle like that like that and actually let me draw a couple of them just because we want to think about all of the different possibilities here all of the.

27. Since the triangle has an obtuse angle, it is obtuse. ALGEBRA The measure of the larger acute angle in a right triangle is two degrees less than three times the measure of the smaller acute angle. Find the measure of each angle. 62/87,21 Let x and y be the measure of the larger and smaller acute angles in a right triangle respectively. Given It is simply the number of dots in each triangular pattern: By adding another row of dots and counting all the dots we can find the next number of the sequence. The first triangle has just one dot. The second triangle has another row with 2 extra dots, making 1 + 2 = 3; The third triangle has another row with 3 extra dots, making 1 + 2 + 3 = The triangles composed of three components each are FAK and HKD i.e. 2 in number. The triangles composed of four components each are BEN, CMI, GLJ and FHK i.e. 4 in number. The triangles composed of eight components each are BAJ and OLD i.e. 2 in number. Thus, there are 10 + 2 + 4 + 2 = 18 triangles in the given figure You should be given the length of these two sides, or should be able to measure them. If you do not know at least one side length of each figure, you cannot find the scale factor. For example, you might have a triangle with a base that is 15 cm long, and a similar triangle with a base that is 10 cm long

Counting number of triangles in the given figure Prep4pape

Using similar triangles, find the height of the flagpole to the nearest tenth of a foot. 20 48 ft Solve for a and b. 19. 20. Find the length of the altitude drawn to the 32LÐ 12ft 22. 23. Find the values of x and y, given that OP Il NQ. 18 M Solve for x. 13 20 Skiþ -finding enooqh x - 20 18b hypotenuse. The triangle is not drawn to scale. n. 4 The area of rectangle ABCD is 72. If point A and the midpoints of BC and CD are joined to form a triangle, the area of that triangle is A) 21 B) 27 C) 30 D) 36 E) 4 we already know that the sum of the interior angles of a triangle add up to 180 degrees so the measure of this angle is a the measure of this angle over here is B and the measure of this angle is C we know that a plus B plus C is equal to 180 degrees but what happens when we have polygons with more than three sides so let's try the case where we have a four-sided polygon a quadrilateral and I.

In the given figure, find the value of x. Solution : We know that, the sum of all three angles in a triangle is equal to 180°. Question 109: In the given figures (i) and (ii), find the values of a, b and c. Solution : Question 110: Solution : Question 111: Solution : Question 112: I have three sides. One of my angle measures 15° (108 + 48 ) or about 24 . Apply the Law of Sines to find c. Therefore, the remaining measures of are B , C , and c a = 14, b = 15, A = 117 62/87,21 A is obtuse and a < b because 14 <15. Therefore, this problem has no solution. a = 18, b = 12, A = 27 62/87,21 Draw a diagram of a triangle with the given dimensions triangle with the given measures will be an obtuse triangle. $16:(5 Yes; obtuse 15 , 20 , 24 62/87,21 By the triangle inequality theorem, the sum of the lengths of any two sides should be greater than the length of the third side. Therefore, the set of numbers can be measures of a triangle. Now, classify the triangle by comparing the square o Start by drawing a diagram. We know an angle and the side opposite this angle. We also know an additional side. Therefore, we will use the Law of Sines to solve this triangle, and we must be aware that this is an ambiguous case. sinA/a = sinB/b sinA/28 = (sin45˚)/27 A = sin^-1((28sin(45˚))/27) A = 47.2˚ Let's check for the possibility of two triangles In the figure, OE = 20 cm. In sector OSFT, square OEFG is inscribed. Find the area of the shaded region. Solution: In the figure OSFT is a quadrant and OEFG is a square inscribed in it The side of the square is OE = 20 cm. Question 23. Find the area of the shaded region in the figure, if AC = 24 cm, BC = 10 cm and O is the centre of the circle

Assume that the sails are triangles. Find the total area of each sail of the sailboats to the nearest tenth. solution. Question. 67 The area of a trapezium with equal non-parallel sides is 168 m 2. If the lengths of the parallel sides are 36 m and 20 m, then find the length of the non-parallel sides. solution Solve the Triangle a=5 , b=7 , C=42 Use the law of cosines to find the unknown side of the triangle , given the other two sides and the included angle . Solve the equation

Count the Number of Triangles in the Given Figure Formula

Figure 2 Perimeter of similar triangles. Figure 3 shows two similar right triangles whose scale factor is 2 : 3. Because GH ⊥ GI and JK ⊥ JL , they can be considered base and height for each triangle. You can now find the area of each triangle. Figure 3 Finding the areas of similar right triangles whose scale factor is 2 : 3 Find an expression for the number of people seated at \(n\) tables. Use the general formula to determine how many people can sit around \(\text{12}\) tables. How many tables are needed to seat \(\text{20}\) people? Figure 3.2: Two more people can be seated for each table added Write a Python program to check if a number is a power of a given base.Go to the editor Input : 128,2 Output : True Click me to see the sample solution. 7. Write a Python program to find a missing number from a list. Go to the editor Input : [1,2,3,4,6,7,8] Output : 5 Click me to see the sample solution. 8

24. Find angle [latex]A[/latex] when [latex]a=24,b=5,B=22^\circ [/latex]. 25. Find angle [latex]A[/latex] when [latex]a=13,b=6,B=20^\circ [/latex]. 26. Find angle [latex]B[/latex] when [latex]A=12^\circ ,a=2,b=9[/latex]. For the following exercises, find the area of the triangle with the given measurements. Round each answer to the nearest. In each of the questions 1 to 49, four options are given, out of which only one is correct. Choose the correct one. 1. The sides of a triangle have lengths (in cm) 10, 6.5 and a, where a is a whole number. The minimum value that a can take is (a) 6 (b) 5 (c) 3 (d) 4. Solution:-(d) 4. In the question two sides are given, 10 and 6.5 Let a,b,c be the lengths of the sides of a triangle. The area is given by: where p is half the perimeter, or Use the calculator on below to calculate the area of a triangle given 3 sides using Heron's formula. Enter the three side lengths and press 'Calculate'. The area will be calculated

Counting Figures - Nonverbal Reasoning Questions and Answers

Let b represent the number of buckets of paint and let g represent the gallons of paint donated. So, 6000 buckets of paint are given away. Find the solution set of each equation if the replacement sets are y: {1, 3, 5, 7, 9} and z: {10, 12, 14, 16, 18}. z + 10 = 22 62/87,21 The solution set is {12}. z+ 10 = 22 True or False Solution for Consider the figure below. Sx + 6 4y-4x 50 R 20 21 Part A: If PQ e TS and PQ I TS, which triangle congruency postulate can we use to determine APR Solution for The following triangles are similar. Find the missing length. (Find the ?) 33 K 11 E 18 This calculator completes the analysis of a right or regular triangle given any two inputs. Please input only two values and leave the values to be calculated blank. If all the inputs are angles the calculator will calculate the the proportionate length of the sides which can then be used to scale up depending on actual size requirements

The diagram at the right shows when to use each of these formulas. Example 1: If you are given altitude h and you want to calculate side a, then you need to use formula which connects h and a.. Example 2: If you are given area A and you want to calculate perimeter P then you need to make two steps to get the solution. In first step you apply formula which connects area A and side a and in. Can you find out the number of triangles in the picture that has been attached with this puzzle? View Answer Discuss A picture attached with this question shows a formation of triangles. Can you calculate the number of triangles? View Answer Discuss category : PICTURE | TRIANGLES COUNTING Next. Submit your Email Address to get latest post. The number of square units it takes to exactly fill the interior of a Usually called half of base times height, the area of a triangle is given by the formula below. where. b is the length of the base a is the length of the corresponding In the figure above, one side has been chosen as the base and its corresponding altitude is shown..

Find the side of a triangle if given two other sides and the angle between them or side and any two 18 July 2019 , , - sides , , - angles . Calculate the side of a triangle if given two other sides and the angle between them (Cosine Rule) ( a ) : Calculate the side of a triangle if given side and any two angles ( a ) : = =. Unfortunately, while the Law of Sines enables us to address many non-right triangle cases, it does not help us with triangles where the known angle is between two known sides, a SAS (side-angle-side) triangle, or when all three sides are known, but no angles are known, a SSS (side-side-side) triangle.In this section, we will investigate another tool for solving oblique triangles described by.

Figure Counting Questions with Answers for Competitive Exam

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The resulting figure is not a triangle, because the two smaller sides must be on top of the larger side in order to connect to the larger segment's endpoints. In the case of the three numbers you propose, they will form a triangle. If, for example, the 24 had been 18 instead, 7+18 would be less than 26, and those lengths could not form a. Given, area of smaller triangle = 36 cm 2 and area of larger triangle= 100 cm 2 Also, length of a side of the larger triangle = 20 cm Let length of the corresponding side of the smaller triangle = x cm By property of area of similar triangles, Question 13. In the figure, if ∠ACB = ∠CDA, AC = 8 cm and AD = 3 cm, find BD. Solution: Given, AC. The great icosahedron is one of the four regular star Kepler-Poinsot polyhedra.Its Schläfli symbol is {3, 5 / 2}.Like the convex form, it also has 20 equilateral triangle faces, but its vertex figure is a pentagram rather than a pentagon, leading to geometrically intersecting faces. The intersections of the triangles do not represent new edges The area and perimeter of the right triangle are given by Area = (1/2) a b . Perimeter = a + b + h . Calculator 1 - You know one side and the hypotenuse How to use the calculators Enter the side and the hypotenuse as positive real numbers and press calculate For example, a print is a function in python to display the content whereas it is System.out.println in case of java, but as pseudocode display/output is the word which covers both the programming languages. So that the programme written in an informal language and could be understood by any programming background is pseudocode. Hence we can say that the purpose of writing pseudocode is that.

The answer is 91 balls.Look at the list to see if there is another pattern. The number of balls used in each level is the square of the layer number. So the 10th layer would have 10 x 10 = 100 balls. Check. Read the problem again to be sure the question was answered. Yes, I found the total number of basketballs in the six-layer pyramid The smallest side in the given figure is the base, the second longest side is the height, and the longest side is the side of the triangle itself. Thus, we can use the ratio and the length of the height to set up the following equation: Plug in the given height to find the length of the side 24 = 24 multiplicative Find whole‐number quotients and remainders with up to four‐digit dividends and one‐digit or the presence or absence of angles of a specified size. Recognize right triangles as a category, and identify right triangles..

GEOMETRY Consider the pattern below. The number of blue boxes increases according to a specific pattern. a. Write a recursive formula for the sequence of the number of blue boxes in each figure. b. If the first box represents a 1, find the number of blue boxes in a8. 62/87,21 a. The sequence of blue boxes is 0, 4, 8, and 12 The types of triangles classified by their sides are the following: . Equilateral triangle: A triangle with all three sides equal in measure.In Figure 1, the slash marks indicate equal measure.; Figure 1 Equilateral triangle. Isosceles triangle: A triangle in which at least two sides have equal measure (Figure 2). Figure 2 Isosceles triangles. Scalene triangle: A triangle with all three sides. Let's find some exact values using some well-known triangles. Then we'll use these exact values to answer the above challenges. sin 45°: You may recall that an isosceles right triangle with sides of 1 and with hypotenuse of square root of 2 will give you the sine of 45 degrees as half the square root of 2

In , given the following measures, find the measure of the missing side to the nearest tenth.. a. b 6.7 c. b 14.5 b. b 394 d. b 45.3 Members of the soccer team are trying to map out some new plays before their next game We can conclude that the given triangle is an Equilateral triangle In Exercises 15-18, find the measure of the exterior angle. Question 15. Answer: Question 16. Answer: The given figure is: We know that, An exterior angle is equal to the sum of the two non-adjacent interior angles in a triangle So, (2x - 2)° = x° + 45° 2x° - x.

If these two triangles are similar, then the measure of angle L equals the measure of angle Z. We know that the measure of angle Z must be less than 80 degrees, because the sum of the measures of angles Y and Z is 80 degrees. Because the sum of the interior angles in a triangle is 180 degrees, this means that the measure of angle L is 95 degrees Base conversion calculator with steps: binary,decimal,octal,hex conversion Lesson 12: Recognize lines of symmetry for given two-dimensional figures; identify line-symmetric figures and draw lines of symmetry. Lesson 13: Analyze and classify triangles based on side length, angle measure, or both. Lesson 14: Define and construct triangles from given criteria. Explore symmetry in triangles All values should be in positive values but decimals are allowed and valid. Fill in two (only two) values then click on Calculate. The other two other modifiable values will be filled in, along with the angle 3 field. In a triangle, all interior angles total to 180 degrees. No two angles can total to 180 degrees or more Examine the table. (Each figure is divided into triangles and the sum of the angles deduced from that.) What can you say about the angle sum of a convex polygon with number of sides? Answer: (a) When n = 7, then. Angle sum of a polygon = (n - 2) * 180 0 = (7 - 2) * 180 0 = 5 * 180 0 = 900 0 (b) When n = 8, the

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Figure 1.2.2 Two general right triangles (any \(a > 0\)) The angles \(30^\circ \), \(45^\circ \), and \(60^\circ \) arise often in applications. We can use the Pythagorean Theorem to generalize the right triangles in Examples 1.6 and 1.7 and see what any \(45-45-90 \) and \(30-60-90 \) right triangles look like, as in Figure 1.2.2 above Use the difference between numbers to find the missing number. Example: Find the missing number: 30, 23, ?, 9. The order of numbers is going down or descending. The difference between numbers is 30 - 23 = 7; Since the order is descending subtract 7 from 23. The missing number may be 16. The missing number is 16 since it is 7 more than the last. Input a number to find the factorial: 5 The factorial of the given number is: 120 Click me to see the sample solution. 8. Write a program in C++ to find the last prime number occur before the entered number. Go to the editor Sample Output: Input a number to find the last prime number occurs before the number: 50 47 is the last prime number. Refer to the given figure, an isosceles triangle with AB equals AC . Triangle A B C, where side B C is horizontal and vertex A is above side B C. Find the unknown side lengths in similar triangles PQR and ABC AC=24 AB=18 BC=30 QR=35 RP=b QP=a. A=21 Find the length of the third side of the right triangle. c=20 ft. The box has a volume of.

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