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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]