Pamela has up to 60 inches of wood trim to make a picture frame. she wants the length of the frame to be 2 inches longer than the width. describe the possible dimensions of the picture frame.

The perimeter is found using  2L + 2W.

The perimeter needs to equal 60 inches.

2L +2W = 60

She wants L to equal W+2

replace L with w+2 and solve:

2(W+2) +2W = 60

Use Distributive Property:

2W+4 +2W = 60

Combine like terms:

4w +4 = 60

Subtract 4 from each side:

4w = 56

Divide both sides by 4:

W = 56 / 4

W = 14

L = W+2 = 14 +2 = 16

The frame would be 16 inches long by 14 inches wide.

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.

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