Answer:
SQ = 17.5
Step-by-step explanation:
note that
SK = 7 + 2 = 9
SJ = SQ + 5
Given
[tex]\frac{SP}{SK}[/tex] = [tex]\frac{SQ}{SJ}[/tex] ( substitute values )
[tex]\frac{7}{9}[/tex] = [tex]\frac{SQ}{SQ+5}[/tex] ( cross- multiply )
9 SQ = 7(SQ + 5) ← distribute parenthesis by 7
9 SQ = 7 SQ + 35 ( subtract 7 SQ from both sides )
2 SQ = 35 ( divide both sides by 2 )
SQ = 17.5
