ABCD is an isosceles trapezoid with diagonals that intersect at point P. If AB || CD , AC = 7y – 30, BD = 4y + 60, and CD = 5y +

Question

3 years ago

11

14, solve for y
A. 124
B. 164
C. 180
D. 292

2 answers:

Fittoniya [83] · Answer 1 · 2022-05-04T08:59:35+03:00

Answer: B. 164

The value of y =30

The value of CD = 164

Step-by-step explanation:

Properties of isosceles trapezoid:

Given: ABCD is an isosceles trapezoid with diagonals that intersect at point P. AB || CD

⇒ BC= AD [opposite non-parallel sides]

AC=BD [ Diagonals are equal]

Since $AC = 7y - 30$ and $BD = 4y + 60$

$\Rightarrow\ 7y-30=4y+60\\\\\Rightarrow\ 7y-4y=60+30\\\\\Rightarrow\ 3y=90\\\\\Rightarrow\ y=30$

The value of CD = $5(30)+14=150+14=164$

pentagon [3] · Answer 2 · 2022-05-04T07:52:41+03:00

pentagon [3]3 years ago

3 0

I think its A or B not sure(educated guess)