Choose the correct answer. In the accompanying diagram, the ratio of the length of the side opposite to LA to the length of the hypotenuse is (1) 24 (3) 25 25 (4) * 24 一3

Q: The hypotenuse of a 30°-60°-90° triangle has a length of 20 cm. Which could be the length of a leg…

A:

Q: 5. The ratio of angle measures in a triangle is 3:10:12. What is the measure of each angle? -2 O…

A: It is given that the ratio of angles of the triangle is 3:10:12 Suppose the measures of the angles…

Q: Two circles have a scale factor of 3:2. What is the ratio of the circumferences of these circles? O…

A:

Q: The altitude to the hypotenuse of a 30°-60°-90°triangle divides the hypotenuse into segments…

A: Given that, the altitude to the hypotenuse of a 30°- 60°- 90°triangle divides the hypotenuse into…

Q: The measures of two supplementary angles are in the ratio of 2:7. Find the measure of each angle,…

A: Given:  measure of two supplementary angles are in the…

Q: In the figure below, N lies between M and P. Find the location of N so that the ratio of MN to NP is…

A:

Q: In the equation given as follows,  simplify the ratio of factorials.:- see the  equation as attached…

A: We have to simplify the following factorials - n!(n-3)!

Q: 1. What is the ratio of the perimeters of two similar triangles if the ratio of the areas is 16:1?…

A: In this question, we need to find the ratio of perimeters of two similar triangles with ratio of…

Q: It is the ratio of the length of the hypotenuse to the length of the side adjacent to the given…

A: We find the ratio of length of hypotenuse to lenth of the side adjacent to the given angle in right…

Q: 0. The ratio of the measure of the vertex angle to the base angle of an isosceles triangle is 8:5.…

A:

Q: 12. Given that 10m= 14n, find the ratio of m to n in simplest form. 14 c. 10 a. 14 10 b. d.

A:

Q: The ratio of the sides pentagon is 12 cm, v sides) O 15 cm.

A:

Q: A house builder would like to make a window that has a golden ratio between the height at the length…

A: Golden ratio=height/length=1.618

Q: 72 In the applet above right triangle ABC is drawn with a 72° angle. For right triangles with an…

A: To prove 2 triangles are similar, it can be proved that 2 of their angles are equal, it can be…

Q: 2. Suppose you find the ratio of the lengths of adjacent sides in a parallelogram. This ratio is…

A: SOLUTION: Not necessarily. Actually angles could be different , so that not similar For example the…

Q: Triangle ABC is similar to Triangle DEF, What is the scale factor from DEF to ABC 3. B 6 CE F 5.

A: Similar triangles are those whose ratios of corresponding sides/ angles is same.

Q: 5.7 to 3.8 Write the given ratio as a fraction in simplest form

A: Simplify as follows.

Q: In the diagram, RSTU ~ ABOCD. Find the ratio of their perimeters. R 12 14 The ratio of their…

A: Remember that if two rectangles are similar then their sides have to be proportional i.e. the ratio…

Q: B. Y A C Note: Figure is not drawn to scale In the triangle above, the measure of ZA is 40°, and the…

A:

Q: In the diagram of triangle DFG below, HE||GF= 10, HG=45 and De= 8. What is the length of DF? in the…

A:

Q: U. If GE equals 7, what is the length of GF?

A: Given:  A figure is given.The length of GE=7  Solution: The length of GF=?

Q: Two angles of a quadrilateral measure 140° and 80°. The other two angles are in a ratio of 3:4. What…

A: We can find the answer as below using the properties of quadrilateral.

Q: The triangles in the figure below are similar. 6. 20 Which proportion is correct? 20 15 %3D 20 15…

A:

Q: n ∆DEF, m∠D=42°, m∠E=63°, and EF=24 in. What is DE to the nearest tenth of an inch?

A:

Q: 6. The accompanying diagram shows two similar triangles. 32 24 12 15 Which proportion could be used…

A: we have to solve for x from the given figure

Q: 2) If the measure of arc EFG is 195°, and the measure of arc EF is 80°. A) What is the measure of…

A: Solution

Q: The ratio of the angles in a triangle is 3:10:7. What is the measure of the smallest angle? O The…

A:

Q: 8. Given AABC-AJFK, find the ratio of the perimeters. * 18 24 8. 6 F 5. 6. 3.

A:

Q: 1. Given the diagram below, find the length of CH. C 9.9 6. В 8 F.

A: Given:   To determine: length of CH

Q: 2. The ratio of the measures of the sides of a triangle is 9:12:5. If the perimeter of the triangle…

A:

Q: 18. The ratio of the perimeters of two similar triangles 2:3. What is the length of the median of…

A: 18 ratio of coresponding side = ratio of coressponding median 2:3 = 14/x x = 14*3/2 x = 21 median of…

Q: Which expression describes a point that partitions a segment AB in a 1:5 ratio? A. A +B B. A+ B c.…

A:

Q: The ratios 4: 10 and 8 : 20 are equiva A True B) False В

A: The ratio of 4:10 is2:5

Q: The ratios of the measures of the angles of a triangle is 5:13:2. Find the measures of the angles.…

A:

Q: 4. A slide is considered safe if its height to length ratio is 3:5. The length of the slide is 12…

A: Let the height of the slide=3x and the length = 5x Using the Pythagorean theorem we get:…

Q: find the coordinates of the point that divides the line segment given the coordinates of its…

A: Given: find the coordinates of the point that divides the line segment given the coordinates of its…

Q: How did he get the value inside the circle? 2も elt b 3/4 34-1 2/4 314 /4 3/4 to 2

A: The given problem is solved below in detail.

Q: 4) Find the ratio of z to w. 名二2(w) 13 3w

A:

Q: Triangle MNP is similar to triangle RST. 39 cm 15 cm R. 13 cm 5 cm 12 cm Which proportion can be…

A:

Q: The ratio of the perimeter of AUto the perimeter of AVis 1: 2. V If the triangles are similar, what…

A:

Q: 8 5. The side lengths of AABC are 2, 5, and 6, and ADEF has side lengths of 12, 30, and 36. Find the…

A:

Q: 3. If the ratio of a pair of corresponding altitudes of two similar triangles is 4:7, and the area…

A:

Q: 2. The area of the square ABCD is 49 m² and the area of the square BEFG is 25 m2. Find the length of…

A:

Q: A builder wants to install a triangular window with the angles shown in the illustration. What…

A: We know that sum of interior angle of traingle is 180°

Q: given the endpoints (-9, 3) and (1, 8) partition the line segment into the ratio 2:3

A: The coordinates of a point which divides a line segment AB whose endpoints are Ax1,y1 and Bx2,y2 in…

Q: Given below, length of BD is? D A. √12 3. √13 C. 13. D. 12 E. none of the above A 2 3 2 C 3 B

A: Given:  Length of AD=2, DC=2, BC=3, AB=3 To find the length of BD

Q: 7) The three sides of a triangle form a pythagorean triple with a 3, 4, 5 ratio. The hypotenuse is…

A: Topic-Triangle

Q: 11 E F N 6. If triangles DEF and NPQ are similar, what is the length of side d? Enter a fraction or…

A:

Q: Two triangles that have three pairs of proportional sides are always similar. Identify the ratios of…

A: Explanation and solutions is given below....

Q: 7 Select the correct answer. In a right triangle, if 20 = 45° and the side opposite to 20 is equal…

A: