Question

Given ΔQRS ≅ ΔTUV, QS = 3v+2 and TV= 7v−6, find the length of QS and TV. show your work

Answer 1

Answer:

The value of each is 8

Step-by-step explanation:

In order to find the length of the two, note that QS and TV must be congruent given the statement of congruence. Now we can set their values equal to each other.

3v + 2 = 7v - 6

2 = 4v - 6

8 = 4v

2 = v

Now that we have the value of v, we can plug into either equation to find their lengths.

3v + 2

3(2) + 2

6 + 2

8

Answer 2

The length of QS and TV is 8 unit

Given that;

ΔQRS ≅ ΔTUV

Length of QS = 3v+2

Length of TV = 7v-6

Find:

The length of QS and TV

Computation:

We know that;

ΔQRS ≅ ΔTUV

So,

QS = TV

3v + 2 = 7v - 6

7v - 3v = 2 + 6

4v = 8

v = 2

So.

Length of QS = 3v+2

Length of QS = 3(2)+2

Length of QS = 8 unit

Length of TV = 7v-6

Length of TV = 7(2)-6

Length of TV = 8 unit

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