Question

Help please. I need this done asap and I don’t understand!

Answer 1

Conclusion:

• The value of x = 12.5

• The value of y = 3.2

• The value of z = 6

Explanation:

Given

Two similar quadrilaterals

To determine

x, y, and z

Given that the two quadrilaterals are similar,

so their corresponding ratios will be:

x/10 = 5/4

x = 5/4 × 10

x = 50/4

x = 25/2

x = 12.5

Thus, the value of x = 12.5

To determine the value of y, the corresponding ratio such as

y/4 = 8/10

y = 8/10 × 4

y = 32/10

y = 16/5

y = 3.2

Thus, the value of y = 3.2

To determine the value of z, the corresponding ratio such as

z/5 = 15/x

as x = 12.5, so substitute x = 12.5

z/5 = 15/12.5

z = 15/12.5 × 5

z = 75/12.5

z = 6

Therefore, the value of z = 6

Conclusion:

• The value of x = 12.5

• The value of y = 3.2

• The value of z = 6