Question

Given the Trapezoid ABCD Find the length of AD Pls helppp

Answer 1

Answer:

AD = 230

Step-by-step explanation:

AD = 30x - 10

MN = 31x + 1

BC = 30x + 28

To find the length of AD, we need to generate an equation that will enable us to find the value of x.

Thus,

MN = ½(AD + BC) => Trapezoid Midsegment Theorem

Plug in the values

31x + 1 = ½(30x - 10 + 30x + 28)

(31x + 1) × 2 = 30x - 10 + 30x + 28

62x + 2 = 30x - 10 + 30x + 28

Add like terms

62x + 2 = 60x + 18

62x - 60x = -2 + 18

2x = 16

x = 16/2

x = 8

✅AD = 30x - 10

Plug in the value of x

AD = 30(8) - 10 = 230