given triangle UVW is congruent to triangle TSR find the values of x (12x-7), y (5y-33), and z (3z+14)
1 answer:
Answer:
Step-by-step explanation:
Find the image attached. For two triangles to be congruent, then the sides of UVW is equal to that of TSR
From the diagram given
TR = UW
Given
TR = 50
UW = 3z+14
Equate and find z;
3z+14 = 50
3z = 50-14
3z = 36
z = 36/3
z = 12
VW = RS
Given
VW = 27
RS = 5y - 33
Equate
5y-33 = 27
5y = 27+33
5y = 60
y = 60/5
y = 12
Also TS = UV
TS = 53
UV = 12x+7
Equate:
12x-7 = 53
12x = 53+7
12x = 60
x = 60/12
x = 5
Hence x = 5, y = 12 and z = 12
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