The similar figures, parallelograms ▱QUAD and ▱STOP, have a ratio of 3:1 between their corresponding sides. If = 15, then =

a0.

The similar figures, parallelograms ▱QUAD and ▱STOP, have a ratio of 3:1 between their corresponding sides. If = 10, then =
a0.

pick a side, willya?

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To find the value of a0, we can set up a proportion using the given ratio.

The ratio between the corresponding sides of the parallelograms is 3:1.

So, we can set up the proportion:

QU / ST = 3 / 1

In the first case, if the length of ST (denoted by a0) is 15, we can substitute the values into the proportion:

QU / 15 = 3 / 1

To find the value of QU, we can cross multiply and solve for QU:

QU = (3 * 15) / 1
QU = 45

Therefore, in the first case, the length of QU is 45.

In the second case, if the length of ST (denoted by a0) is 10, we can substitute the values into the proportion:

QU / 10 = 3 / 1

Again, we can cross multiply and solve for QU:

QU = (3 * 10) / 1
QU = 30

Therefore, in the second case, the length of QU is 30.