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

Question

Luden [163]

3 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] · Answer 1 · 2022-08-09T23:04:33+03:00

Studentka2010 [4]3 years ago

6 0

4/16 = SQ/20

SQ = (4*20) / 16 = 5 cm

gladu [14] · Answer 2 · 2022-08-10T00:35:13+03:00

Answer:

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.