The area of trapezoid RSTU is 68 square inches, and the area of similar trapezoid JKLM is 425 square inches. What is the scale factor of RSTU to JKLM?

6.25

Step-by-step explanation:

The scale factor is equal to how many times larger or smaller the new trapezoid is from the original trapezoid. To solve for the scale factor, divide the new area of JKLM by the original area of RSTU to calculate how many times larger RSTU got to become JKLM.

425 ÷ 68 = 6.25

2 over 5

step-by-step explanation:

the 2: 3 ratio is the length of the ac segment to the cb segment total length. this implies that the ratio between segment ac length and segment ab length is 2: 5. point c is 2/5 from a to b, so the required fraction is 2/5.

d

step-by-step explanation:

hello and welcome!

so, when we see the words "proportional" along with a table, we need to know that we're looking numbers that divide by the same thing.

looking at this table, we simply have to do a trial and error, and divide to see which numbers have the same quotient. if you look at choice a & c, they both have equal quotients for three of the numbers, with one exception, so those can't be the answer. looking at b, there is no similarity, so that can't be it. then, we see d; if you divide all the numbers in the table, you'll see that they all divide by two, which is a proportional relationship, and our answer!

also, always remember that the x will always be the number that goes into y, and somewhere behind this table, is a formula. for this specific table, the formula would be:

since our x-value is being divided by two to get the y-value. and if they were to ask for more numbers in the series, this is the formula you would use to find them.