Question

If UW = 40 - 16 and UY = t + 14, find UY in rhombus VWXY.​

Answer 1

Answer:

Measure of UY in the rhombus VWXY is 24 units.

Step-by-step explanation:

By the property,diagonals of a rhombus bisect each other at right angle.

m(UW) = m(UY)

4t - 16 = t + 14

4t - t - 16 = t + 14 - t

3t - 16 = 14

3t - 16 + 16 = 14 + 16

3t = 30

t = $\frac{30}{3}$

t = 10

Since, UY = t + 14

By replacing t = 10 in the given expression

UY = 10 + 14

     = 24 units

Therefore, measure of UY in the rhombus VWXY is 24 units.