**10 POINTS PLEASE HELP**
The perimeter of △PQR is 44 cm, and △PQR ~ △WXY. If PQ = 12 and XY + WY = 24, what is the perimeter of WXY? Complete the explanation.

Since the perimeter of △PQR = 44, QR + PR = 44 − PQ, or cm. This is proportional to the sum XY + WY, because the two triangles are (similar or congruent)
so their corresponding sides are (not proportional or proportional). Their ratio is 24:__ , or 3:__ , which is the same ratio as their perimeters, 3/___ = P/44, so P = ___ cm.

Since the perimeter of ΔPQR = 44, QR + PR = 44 - PQ, or 32 cm. This is proportional to the sum XY + WY, because the two triangles are similar so their corresponding sides are proportional. Their ratio is 24:32 or 3:4, which is the same as their perimeters, 3/4 = P/44, so P = 33 cm.

Step-by-step explanation:

The given parameters are;

ΔPQR ~ ΔWXY

Perimeter of ΔPQR = 44

PQ = 12

XY + WY = 24 based on position is proportional to QR + PR

However, the perimeter of ΔPQR = PQ + QR + PR = 44

Therefore, QR + PR = 44 - PQ = 44 - 12 = 32

Hence, XY + WY = 24 based on position is proportional to QR + PR = 32

If XY:QR = WY:PR we get  (XY + WY):(QR + PR) (common factors)

∴ (XY + WY):(QR + PR) = 24:32 = 3:4

By extension, (WX + XY + WY):(PQ + QR + PR) =  3:4

Where: WX + XY + WY = P and PQ + QR + PR = 44 we have;

P:44 = 3:4 or 3/4 = P/44

From which P = 44 × 3/4 = 33 cm.

answer

a the answer hopes this

step-by-step explanation:

2. angles qrt and qst both measures 156 degrees.

step-by-step explanation:  

we have been given a diagram of a circle and we are told that measure of arc qvt is 156 degrees.  

we can see from our given diagram that angle qrt and angle qst subtends to arc qvt.

since we know that angles subtended by the same arc at the circumference are always equal.

by angle subtended by same arc theorem, measure of angle qrt and angle qst will be equal to the measure of arc qvt.

therefore, angles qrt and qst both measures 156 degrees and 2nd statement is the correct choice.