tanabugg
contestada

please help! and show work
WXYZ is an isosceles trapezoid with legs WX and YZ and a base XY. If the length of WX is 6x+5, the length of XY is 10x+4 and the length of YZ is 8x-3, find the value of x.

Respuesta :

Kalahira
Since the trapezoid is isosceles the lengths of the legs are equal. so 6x + 5 is equal to 8x-3. From there 2x is equal to 8 and then after dividing one can conclude x is equal to 4.
Nefii

Answer:

x = 4

Step-by-step explanation:

An isosceles trapezoid has two opposite sides (the bases) parallel, and the two other sides (the legs) are of equal length.


So, since the two legs are of equal length, you only need to use the information of the two legs:

Leg WX: 6x + 5

Leg: YZ: 8x - 3

Leg WX = Leg YZ => 6x + 5 = 8x - 3

6x + 5 = 8x - 3

=> 8x - 6x = 5 + 3

=> 2x = 8

=> x = 8 / 2

=> x = 4