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9. TS PR. What is the length of QS?
25
IS
15
12
R
P
A 15
B 20
C 22
D 24


Answer :

Answer:

[tex]QS = 20[/tex]

Step-by-step explanation:

Given

See attachment

Required

Find QS

To do this, we make use of the following equivalent ratios.

[tex]QT : TP = QS : SR[/tex]

This gives:

[tex]25: 15= QS : 12[/tex]

Express as fractions

[tex]\frac{25}{ 15}= \frac{QS }{ 12}[/tex]

Solve for QS

[tex]QS = \frac{25}{ 15} * 12[/tex]

[tex]QS = \frac{25* 12}{ 15}[/tex]

[tex]QS = \frac{300}{ 15}[/tex]

[tex]QS = 20[/tex]

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