The frame around a rectangular picture has a uniform width. The dimensions of the picture are 5 in. by 7 in. If the combined area of the picture
and the frame is 80 in.2, what is the width of the frame?

9 inches

Step-by-step explanation:

Let's take the dimension of the picture first

Area of the picture = 5 * 7

= 35 square inches

Now, we'll subtract this are from the combined area of the picture and the frame

Combined area = 80 square inches

80 - 35 = 45

Therefore, the area of the frame is 45 square inches

Since the width is uniform,

The number which when multiplied by 5 gives 45 is

9

Hence, the width of the frame is 9 inches

step-by-step explanation :

we know that

the measurement of the outer angle is the semi-difference of the arcs which comprises

in this problem

m< xzy is the outer angle

substitute the values

the measure of angle xoy is equal to

> by central angle

substitute the value