Answer:
x = 2 yd
Step-by-step explanation:
Angles of 45 degreees = two congruent legs
for the Pythagorean theorem
2x^2 = 8
x^2 = 4
x = 2
Answer:

Step-by-step explanation:
Hi there!
Slope-intercept form:
where m is the slope and b is the y-intercept (the value of y when the line crosses the y-axis)
<u>1) Determine the slope</u>
where the two given points are
and 
Plug in the given points (-1, 4) and (0, 2)

Therefore, the slope of the line is -2. Plug this into
:

<u>2) Determine the y-intercept</u>

Recall that the y-intercept is the value of y when the line crosses the y-axis, meaning that the y-intercept occurs when x is equal to 0.
One of the given points is (0,2). Notice how y=2 when x=0. Therefore, the y-intercept of the line is 2.
Plug this back into the equation:

I hope this helps!
Angle W:
180 = 90 + 57 + W
180 = 147 + W
W = 33 degrees
Using trigonometry functions to find the side lengths. (SOH CAH TOA)
Side XZ:
cos(57) = XZ / 18
XZ = cos(57) x 18
XZ = 9.8 units
Side XW:
sin(57) = XW / 18
XW = sin(57) x 18
XW = 15.1 units
Hope this helps!! :)