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Luden [163]
2 years ago
13

In the figure, PQ is parallel to RS. The legth of RP is 4 cm; the length of PT is 16 cm; the length of QT is 20 cm. What is the

length of SQ?

Mathematics
2 answers:
Studentka2010 [4]2 years ago
6 0
4/16  = SQ/20

SQ = (4*20) / 16  = 5 cm
gladu [14]2 years ago
3 0

Answer:

<h2>A. 5 cm.</h2>

Step-by-step explanation:

Givens

PQ \parallel RS

RP=4cm

PT=16cm

QT=20cm

Now, you can observe that the problem is about propotions, because we have two transversals crossing a pair of parallels. Here we can build the following proportion.

\frac{SQ}{RP} =\frac{QT}{PT}

Replacing all given values, we have

\frac{SQ}{4} =\frac{20}{16}\\SQ=\frac{20}{16} \times 4\\ SQ=5

Therefore, the length of SQ is 5 centimeters. The right answer is A.

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