You have an 7-by-5-inch photo of the math club that must be reduced to a size of 5.6 inches by 4 inches for the school yearbook. what percent does the photo need to be reduced to in order for it to fit in the allotted space?

20%

Step-by-step explanation:

The photo has a 7-inch length and 5-inch width and you have to reduce it into a 5.6-inch length and 4-inch width.

The percentage reduces for the length will be:

100% - (5.6 inch / 7 inch * 100%)= 20%

The percentage reduce for the width will be:

100% - (4 inch / 5 inch * 100%)= 20%

Then, the photo needs to be reduced by 20% in order to fit the allotted space.

25/4

step-by-step explanation:

call segment cd's length x. because dc and ab are parallel, angle acd and cab, so triangles adc and abc are similar and we can set up the equation x / ac = ac / ab, or x / 5 = 5 / 4 and x = 25/4.