The diagram below shows rectangle RSTU with two diagonals drawn. (6x-15)° 63° U To find the value of x, Justin wrote the following steps. 1. m/STR+MZRTU = 90° 2. MZRTU = 27° 3. 6x – — 42 15 = 27 %3D 4. 6х 5. x = 7 %3D Which statement can be used to justify the first step? O A. The alternate interior angles formed by the diagonals are congruent. B. The diagonals of a rectangle are congruent. O C. The angles at each vertex of the rectangle are right angles. O D. Opposite angles in a rectangle are congruent.

Q: b = 80 62°

A: Construct lines such that it joins the center O of the circle as shown in the above figure that are…

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Q: (1+7i) а. 2i(4-i)

A: Note: since you have posted multiple questions. As per our guidelines we are supposed to solve only…

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Q: Let a = ci + j and b = 16i + 12j. Find c π so that the angle between a and b is 6

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Q: If mZ1 = 75°, find m28

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Q: 1. a) First, simplify (p° q²r²) ÷ (p² q° r?). Write your answer as a power with a positive exponent.…

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Q: The length of the arc that is subtended by a 360° angle is actually the found by the formula :. # of…

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Q: 14. mZR 120° 40° >R

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Q: what is the formula for the angle A

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Q: 3. Evaluate the following: (1+7i) а. 2430° b. 12-120° 2i(4-i) 5. с. (4е С. d. (22175°)(6450°)

A: Since you have posted a question with multiple subparts according to guildlines I will solve first…

Q: A C If m / ABD - 75° and m/ APC - 40º

A: Given that: m∠ABD=75° and m∠ABC=40°

Q: A HyP Cz ofe b 68° B 10

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Q: In ABC, LA = 50° and C is two-third of B. Calculate C

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Q: Your Turn: 4. What is the value of z? 95° 200

A: Topic- circle and tangent

Q: Find R=A+B where A=( 246.84, 127°) and             B=(346.87, 235°)

A: Given that A=246.84, 127°, B=346.87, 235° which are two vectors. If in polar coordinate a point is…

Q: b = 125, A = 91.5°, c = 151 B = C = a =

A: The given triangle has the measures,b=125, A=91.5°, c=151

Q: 87 90° 96° 40° 200° 40 9. A a° B. 120; 60 3. 6,

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Q: 1. Evaluate: -5x° + (64) 16

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Q: Make all obvious simplifications.

A: As per guidelines we have to solve 3 subparts

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.