Answer:
ZX = 39 ⅓
Explanation:
Assuming that triangles WXY and WZY are congruent, we can form the following equation and solve for x:
WX = WZ
↓ plugging in the given values
5x - 7 = 2x + 9
↓ subtracting 2x from both sides
3x - 7 = 9
↓ adding 7 to both sides
3x = 16
↓ dividing both sides by 3
x = 16/3
We can plug this x-value into the given definition for WX or WZ to find its length (both are the same):
WX = WZ = 2x + 9
= 2(16/3) + 9
= 32/3 + 9
= 10 ⅔ + 9
= 19 ⅔
Finally, we can solve for ZX by adding WX and WZ:
ZX = WX + WZ
ZX = 19 ⅔ + 19 ⅔
ZX = 39 ⅓