Question

w
vw = __7
wx = __8
yw = 9
v
19
y
31
x
w
z
vw = __7
wx = __8
yw = __9
zx = __10
vx = __11

1. type a response

Explanation:

Step1: Identify rectangle side lengths

In rectangle \(VYWX\), opposite sides are equal:
\(VW = YX = 31\), \(WX = VY = 19\)

Step2: Calculate diagonal \(YW\)

Use Pythagorean theorem for right triangle \(VYW\):
\(YW = \sqrt{VY^2 + VW^2} = \sqrt{19^2 + 31^2}\)
\(= \sqrt{361 + 961} = \sqrt{1322} \approx 36.36\)

Step3: Find \(ZX\) (half the diagonal)

Diagonals of a rectangle bisect each other, so \(ZX = \frac{1}{2}YW\):
\(ZX = \frac{\sqrt{1322}}{2} \approx 18.18\)

Step4: Note \(VX = YW\) (rectangle diagonals equal)

\(VX = \sqrt{1322} \approx 36.36\)

Answer:

\(VW = 31\)
\(WX = 19\)
\(YW = \sqrt{1322} \approx 36.36\)
\(ZX = \frac{\sqrt{1322}}{2} \approx 18.18\)
\(VX = \sqrt{1322} \approx 36.36\)