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17 votes
In the segment below, QV = 23. QT =8. TR = RS = SV.

In the segment below, QV = 23. QT =8. TR = RS = SV.-example-1
User Slabounty
by
2.6k points

2 Answers

13 votes
13 votes

Answer:

RS=5

QS=18

TS=10

TV=15

Explanation:

The whole thing is 23. A part of it (QT) is 8 parts of that line as a whole. And if you subtract 8 from 23, that’s what’s left over for the rest of the parts to split amongst themselves. And if you read the question carefully, you’ll realize those last three parts are equal to eachother. Take that information, and after doing 23-8, you should get 15. Take that number and divide by the number of parts left over of the whole line. (Three leftover parts) divide 15 by 3 and that’s the length of each of those parts. From there we just label those parts and add what goes together to get our answers.

For RS: the length of R to S we already know since we just did the math for that. It’s 5.

For QS: from Q to S we have a few parts, but since they should be labeled, this should be easy because it’s just adding! (8+5+5=18)

For TS: since both parts are worth 5, no complicated math needed, just add 5+5 to get the answer, 10!

For TV: we know all parts are worth 5, so again, easy adding and you get! 15!

User Vishal Ribdiya
by
2.9k points
7 votes
7 votes

Answer: RS=5

QS=18

TS=10

TV=15

Explanation:

QV = 23. QT =8. TR = RS = SV.

QV=QT+TR+RS+SV

23=8+RS+RS+RS

23=8+3*RS

3*RS=15

RS=5 ==> TR=5 and SV=5

QS=QT+TR+RS

QS=8+5+5

QS=18

TS=TR+RS
TS=5+5

TS=10

TV=TS+SV

TV=10+5

TV=15

User Vadim Osovsky
by
2.7k points
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