13.5: Booklet and Frames Elena is binding a small booklet with a spine that is 21/4 inches long. She uses staples that are 7/16-inch long. If she puts the staples end-to-end through the booklet, without gaps or overlaps between them, how many staples would it take to bind the booklet?

Two rectangular picture frames have the same area of 45 square inches but have different side lengths. One frame has a length of 6 3/4 inches, and the other frame has a length of 7 1/2 inches.

Before calculating, predict which frame has the shorter width. Explain your reasoning.

Calculate the width that you predicted to be shorter.

need this quick thanks

12 staples

Step-by-step explanation:

So the first thing we have to do is find the G.C.D  between 21/4 and 7/16 which of course is 16 so it would be 84/16 and 7/16.

Now we have to divide both numbers. Basically you multiply 84/16 by the reciprocal of 7/16 which is 16/7 and simplify which equals 12.

So it would take 12 staples to bind the booklet

i have no idea just need points sorry

step-by-step explanation:

< xcy ≅ < xby

step-by-step explanation:

in δcax and δbax,

so, δcax ≅ δbax (side-angle-side or sas)

since δcax ≅ δbax, we can conclude < acx ≅ < abx

in δacy and δaby,

so, δacy ≅ δaby (side-angle-side or sas)

since δacy ≅ δaby, we can conclude < acy ≅ < aby

now,

< acy ≅ < aby

=> < acx + < xcy ≅ < abx + < xby

=> < acx + < xcy ≅ < acx + < xby   (since < acx ≅ < abx already proved above)

subtracting < acx from both sides, we get

< acx + < xcy -< acx ≅ < acx + < xby -< acx

cancelling out < acx and -< acx from both sides, we get

< xcy ≅ < xby (proved)