Quick question earn 20 points

which value of y would make op || ln?

16
24
32
36

Option D. y= 36

Step-by-step explanation:

In the given figure there are two triangles ΔMPO and ΔMNL

If two sides OP and LN are parallel and lines MN, ML are transverse respectively.

Then ∠MPO =∠MNL [ corresponding angles ]

and ∠MOP = ∠MLN [ corresponding angles ]

and ∠M is common to both the triangles.

Now by the property of AAA, ΔMPO & ΔMNL are similar

Now we know in similar triangles corresponding sides are in same ratio.

By cross multiplication

3y = 2(y + 18)

3y = 2y + 36

y = 36

Option D. y = 36 is the answer.

$53.50

step-by-step explanation:

you have to subtract the amount of money chuck earned ($72.50) by the cost of the gas for the mower ($11.25) and the new string for the trimmer he bought ($7.75).

72.50-11.25=61.25

and then subtract $61.25 by the second thing he bought (the new string for the trimmer)

61.25-7.75=53.5

so in total it's $53.50 (53 dollars and 50 cents)