Question

Please help me find y and show work/steps. I don't know how to do it

Answer 1

We will check if y and 60cm are parallel.

If the lengths 28cm, 56cm and 15cm, 30cm are in proportion, then y and the segment 60cm are parallel.

$\dfrac{56}{28}=\dfrac{30}{15}\\\\2=2\qquad CORRECT!$

OK. We know: y and 60cm are parallel. Therefore we have equation:

$\dfrac{y}{28+56}=\dfrac{60}{56}\\\\\dfrac{y}{84}=\dfrac{15}{14}\qquad|\text{cross multiply}\\\\14y=15\cdot84\qquad|\text{divide both sides by 14}\\\\y=90cm$

Answer: y = 90 cm.

Answer 2

I got like that my best