Answer:
D
Step-by-step explanation:
Formula for Perimeter of Rectangle:
P = 2(L + W)
Plug in 160:
160 = 2(L + W)
L = 4W
<span>So we can plug in '4W' for 'L' in the first equation.</span>
<span>160 = 2(L + W)
160 = 2(4W + W)
Combine like terms:
160 = 2(5W)
160 = 10W
Divide 10 to both sides:
W = 16
Now we can plug this back into any of the two equations to find the length.
L = 4W
L = 4(16)
L = 64
So the width is 16, and the length is 64.</span>
Recall that the diagonals of a rectangle bisect each other and are congruent, therefore:

Substituting the given expression for each segment in the first equation, we get:

Solving the above equation for x, we get:

Substituting x=10 in the equation for segment EI, we get:

Therefore:

Now, to determine the measure of angle IEH, we notice that:

therefore,

Using the facts that the triangles are right triangles and that the interior angles of a triangle add up to 180° we get:

<h2>Answer: </h2>
Step-by-step explanation:
- 1736-8166x71662=8177103 :D