Question

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 lengths of QS

Answer 1

The length of QS = 8

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