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

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:

Thus:

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

Thus:

Correct option B.

(- 1, 0 )

step-by-step explanation:

an x- intercept is where the function crosses the x- axis.

to find the x- intercept/s look for the value of x when f(x) = 0

from the given table there are 3 values of x where f(x) = 0

when x = - 1, x = 2, x = 3

the one that is listed is (- 1, 0 )