Mathematics: Analyze the diagram below and complete the instructions that follow. 3 4 45° х Find the value of x and the value of y. A. X-4, 7-8 B. x - 7,7=43 C. x = 4√3, 7-72 D. x=753, y = 4√2

Analyze the diagram below and complete the instructions

shreyapatel2004

07.02.2022

$x= 7, y=4\sqrt{2}$

Correct option B.

Step-by-step explanation:

The diagram shows a trapezoid with a base angle of 45° and the other base angle of 90°.

We have completed the diagram to draw a perpendicular line over the base of height h=4. A triangle is formed with an angle of 45°.

Recall a right triangle with angles of 45° is isosceles, thus the base and the height are h=4. Please check the diagram below.

For that triangle, we apply Pythagora's Theorem:

y^2=4^2+4^2=2*4^2

Thus:

$y=\sqrt{2*4^4}=4\sqrt{2}$

$y=4\sqrt{2}$

The base of the trapezoid x is h + 3 = 7

Thus:

$\mathbf{x= 7, y=4\sqrt{2}}$

Correct option B.

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acesmith

07.01.2023

A and B

Step-by-step explanation:

Do the vertical line test! A and B pass the test, however the circle doesn't. That means the circle is not a function.

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