LaTeX: \Delta QRS\cong\Delta TUV,\:QS=3v+2,Δ Q R S ≅ Δ T U V , Q S = 3 v + 2 , and LaTeX: TV=7v-6,T V = 7 v − 6 , enter the leng
ths of QS
1 answer:
Answer:
The length of QS = 8
Step-by-step explanation:
From the above question:
Δ Q R S ≅ Δ T U V
Q S = 3 v + 2 , and T V = 7 v − 6 , enter the lengths of QS
Hence:
Step 1
We solve for v
QS = TV
3v + 2 = 7v - 6
Collect like ters
2 + 6 = 7v - 3v
8 = 4v
v = 8/4
v = 2
Step 2
Solving for Q S
Q S = 3 v + 2
v = 2
QS = 3(2) + 2
QS = 6 + 2
QS = 8
The length of QS = 8
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