Question

Trapezoid LRVS is shown with the midsegment BD where LB = 5+ 3x, SB = 5x – 11,

RD = 9y + 16, VD = 51 +4y.

7. What is the value of x and y?

Answer 1

The calculated values of x and y are x = 8 and y = 7 in the trapezoid

How to determine the values of x and y

From the question, we have the following parameters that can be used in our computation:

The trapezoid

Given that the midsegment is BD

We have

LB = SB

So, we have

5 + 3x = 5x - 11

Evaluate

2x = 16

x = 8

Also, we have

9y + 16 = 51 + 4y

Evaluate

5y = 35

y = 7

Hence, the values of x and y are x = 8 and y = 7