Question

Can someone please help me? Im confused.

Answer 1

y = 12

Explanation:

Δ RSQ and Δ ROP are similar ( AA postulate ) then the ratio of corresponding sides are in proportion, that is

`(SQ)/(OP)` =
`(RS)/(RO)` ( substitute values )

`(y)/(16)` =
`(9)/(12)` ( cross- multiply )

12y = 16 × 9 = 144 ( divide both sides by 12 )

y = 12

Answer 2

12

Explanation:

9/12 to y/16 (the ratio of the short side relative to the long side)

0.75 = y/16 (a ratio can be expressed as a decimal)

16(0.75) = y (multiply 16 to both sides, isolate y)

y = 12 (b/c three-quarters of 16 is 12)