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18 votes
18 votes
Segment TQ is 26 units long. What is the length of
QV?

Segment TQ is 26 units long. What is the length of QV?-example-1
User Ben Orozco
by
2.8k points

2 Answers

15 votes
15 votes

Answer:

31 units

Explanation:

Seeing that sides SR and RQ are equivalent, and triangles STR and TRQ are both right triangles, it's safe to assume sides TQ and TS are equivalent.

3x + 2 = 26

solve for x!

3x = 26 - 2

3x = 24

x = 24/3

x = 8

Using the same logic stated above, we can determine that sides SV and QV are also equivalent. And now, we also have the answer for what x is. All we need to do is solve.

4(8) - 1

32 - 1

=31

User Ivan Bosnic
by
2.7k points
20 votes
20 votes

Answer: 31

Explanation:

26=3x+2

24=3x

8=x

4(8)-1=QV

32-1=QV

31=QV

User Shayno
by
2.7k points