Question

What values of y and z make △ABC≅△VXW?
Please please please hurry

Answer 1

If △ABC≅△VXW then:

AB = VX

CB = WX

Evaluating:

`\begin{bmatrix}2y+2z-40=z+y\\ 16z-13y-24=y+3z-44\end{bmatrix}`

Solving the first equation for y:

`2y+2z-40=z+y`

`2y - y +2z - z= 40`

y + z = 40

y = -z + 40

Substituying y = -z + 40 in the second equation:

`16z-13\left(-z+40\right)-24=\left(-z+40\right)+3z-44`

`29z-544=2z-4`

29z - 2z = 544 - 4

27z = 540

z = 540 / 27

z = 20

y = -20 + 40

y = 20