3 milar to triangle S. B CL T b 3 C eorem and a proportion for the to solve for the simplified exact values in the diagram. S CL

Q: Solve for the missing information, given that the two triangles are SIMILAR. /3 cn 3.2 cm 12 cm (If…

A:

Q: Label the sides of the triangle with H for hypotenuse, O For opposite side, A For adjacent side then…

A: The given figure -  Where H represents the hypotenuse. O is the opposite side and A is the adjacent…

Q: r+ 90)X4

A:

Q: Label the sides of the triangle with H for hypotenuse, O For opposite side, A For adjacent side then…

A: The solution is:

Q: given that angle DAB and DCB are right angles and measure of angle DBC=42 degrees what si the…

A: Explanation: Given that,  Triangle DAB & DCB are right triangles.…

Q: In the diagram of right triangle M NP below, N M || QR. Which of the following ratios is equivalent…

A:

Q: Solve ∆ABC. Round lengths to one decimal place and angles to the nearest integer. C = 30º, a = 20, b…

A:

Q: А 82

A:

Q: Given right triangle ABC with a right angle at Cand m261", right triangle RST with right angle at…

A:

Q: Find the measure of angle 3 in the given figure: l1 parallel to l 2, Angle 7 = (2x+10) ° and angle 2…

A: By the corresponding angle property parallel lines, we have  ∠7=∠3 So, ∠3=(2x+10)° By the Alternate…

Q: The area of a sector of a circle is 198TT Cm2. Find the measure of the central angle if the radius…

A:

Q: The sum of all the measures of the exterior angles of a triangle is equal to (1) 90 (3) 270° (4) 360…

A: By using triangle property, we measure the sum of exterior angles

Q: To find an unknown length of a side when dealing with similar triangles, one should typically use a…

A: It is known that the length of the sides the similar triangles will be in proportion.

Q: Using the given information, solve for x. (where x represents a measure of degrees for indicated…

A:

Q: Find the measure of ZDEC.

A: Given: Angle DBC=57

Q: 1) To find the width ED of a river, a surveyor places markers at A, B, C, and D, as shown. The…

A: Given Data : AB∥ED, BC=50ft, DC=312ft and AB=80ft To Find : Wide of river i.e. the measurement of…

Q: Solve for the missing information, given that the two triangles are SIMILAR. 12 cm 7 cm (If a…

A: Given two similar triangles: Let △ADE~△ACE in which AD=7, DE=10, AC=12, BC=14. To find x and y,…

Q: 7. Given that the distance from A to B is 60 ft, find the distance from B to C. Round to the nearest…

A: We have the given figure as Here distance A to B is 60 ft.

Q: To determine the distance between two points A and B, a surveyor chooses a point C that is 235 yards…

A: Solution: According to the given data where AC=b,  BC= a,  AB=c , γ=∠BAC=49°30' =49.5°

Q: The side lengths of both triangles are labeled. e a A Which proportion must be true? a A. В. C. %3D…

A:

Q: In Cirde 0, AOC is a diameter, ADB iS a secant, and BC Is a tangent. If the measure of arc DC is 3…

A:

Q: With the protractor provided, estimate the measure of each angle to the nearest multiple of 5…

A: We have to estimate the measure of each angle of the given with the protractor provided. Hence from…

Q: Which is closest to the value of the ratio of the length of the adjacent side to the length of the…

A: here the first angle is 90 degrees the second angle is 45 degrees so the third angle is also…

Q: 0° 7.2 15

A:

Q: ACDE is an isosceles triangle with CD = DE . If CD = 9x – 25, DE = 6r + 8, and CE = 10x – 73, find…

A: Given:∆CDE is an isosceles triangle with CD ≅ DE.CD = 9x - 25DE = 6x + 8CE = 10x - 73

Q: The length of the longer base of an isosceles trapezoid is 12 cm. The length of each side is 5 cm.…

A:

Q: A right triangle has one angle that measure 23°. The adjacent leg measures 27.6 cm and the…

A: Given, Hypotenuse  =30cm = AB (let) One side (adjacent given)= 27.6 cm =BC (let)  Let Other side =…

Q: Solve AABC subject to the given conditions. Round the lengths of the sides and measures of the…

A:

Q: 4. Explain why the values of the trigonometry ratios only depend on the angle and not on the…

A: Given two triangles one having sides x, y and z and other having sides q, r and s. The angle given…

Q: One angle of a rhombus measures 104°, and the shorter diagonal is 8 inches long. How long is the…

A: Given problem:- One angle of a rhombus measures 104°, and the shorter diagonal is 8 inches long. How…

Q: In a right triangle, The side opposite angle O has a length of 29.0 meters, the side adjacent to…

A: Use formula of trigonometric ratio cot

Q: In ADEF, if mzD is 14 less than m<F and mzE is 10 more than twice m²F, find the measures of each…

A:

Q: 1 On a map, in. represents 4 mi. If two cities are 19 in. apart on the map, what is the actual…

A: Simply use the Ratio - proportion and simply the result.

Q: d) If a 6 foot tall ladder is leaning against a wall forming a 40 degree angle with the ground. How…

A: We are given with the word problem

Q: The angles of a triangle are in a ratio of 2:3:5. If the largest side measures 12 in ., find the…

A:

Q: 28° 12.6

A: Use  sinx=o/h  cosx=a/h

Q: In a pair of similar triangles, the lengths of corresponding sides are in proportion.

A:

Q: ΔΡMR - ΔWBH cosM is congruent to what 3 trig ratios? B R H.

A: cos M=RPPM from the given figure.

Q: 7.9 17

A: Formed a triangle with H for hypotenuse, O For opposite side, A For adjacent side marked.

Q: Solve for the angle "B" of the bigger triangle (with longer side c) Given: a=11.4, b=12.8, A=58° O…

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Q: For each pair of similar polygons, give three ratios tha 21 20. 3 1.5 a

A: Since you have asked multiple question, we will solve the first question for you as per our guide…

Q: The corresponding sides of two similar triangles are 7 cm and 8 cm. What is the ratio of their…

A:

Q: In this figure, triangle GHJ is similar to triangle PQR. 17 15 Based on this information, which…

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Q: A triangle has sides measuring  a = 8cm, c = 5cm , if the angle opposite side a is 72⁰. Find the…

A:

Q: The ratio of the measures of the three angles of triangle are 3:6:1. 1. Find the actual measurement…

A: Given,   Angles are in the ratio = 3:6:1   Let the angles be 3x, 6x, x Sum of angles =180…

Q: Here are 2 right triangles? Which ratios of side lengths are equal to tan(a)? y ur answer

A: Tan the ratio of opposite and adjacent

Q: Given that segment BD and segment CE are diameters, the radius of the circle is 2.12 units, and…

A: Given that segment BD and segment CE are diameters, the radius of the circle is 2.12 units, and…

Q: Given the sets of measurement, determine the number of triangles that are possible and solve for…

A: Given: a) In Triangle ABC, Angle A = 109°, b = 4.8 cm, a = 5.2 cm b) In Triangle ABC, Angle A = 51°,…

Q: Solve for the measure of angle MIJ. J 55° K

A: Given:

Q: 9.8 12

A:

Ratios

A ratio is a comparison between two numbers of the same kind. It represents how many times one number contains another. It also represents how small or large one number is compared to the other.

Trigonometric Ratios

Trigonometric ratios give values of trigonometric functions. It always deals with triangles that have one angle measuring 90 degrees. These triangles are right-angled. We take the ratio of sides of these triangles.