Katicillarosasid
Answered

"The diagonals of an isosceles trapezoid are represented by 4x – 47 and 2x + 31. What is the value of x?
a. 37 c. 107
b. 39 d. 109"

Sagot :

The diagonals of an isosceles trapezoid are congruent.

4x - 47 = 2x + 31
4x - 2x = 31 + 47
2x = 78

2x/2 = 78/2
x = 39

The answer is b. 39.

To check: x = 39
4(39) - 47 = 2(39) + 31
156 - 47 = 78 + 31
109 = 109