Analyze the diagram below and complete the instructions that follow. Find the value of x and the value of y.

A

Step-by-step explanation:

Drawing a segment from the left side of the top base to the lower base, creates a right triangle on the left with legs 9 and x₁ and hypotenuse y

Using the tangent ratio in the right triangle and the exact value

tan45° = 1 , then

tan45° = = = 1, so x₁ = 9 and

x = 7 + x₁ = 7 + 9 = 16

Using the sine ratio in the right triangle and the exact value

sin45° = , then

sin45° = = = ( cross- multiply )

y = 9

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