Question

Please help! Find the length of x

Answer 1

x = 12.5

y = 3.2

z = 6

Explanation:

Since, the two figures are similar, their corresponding sides are also similar.

10 / x = 4 / 5

4 * x = 10 * 5

4x = 50

x = 50 / 4

x = 12.5

8 / 10 = y / 4

10 * y = 8 * 4

10y = 32

y = 32 / 10

y = 3.2

8 / 15 = y / z

8 / 15 = 3.2 / z

8 * z = 15 * 3.2

z = 15 * 3.2 / 8

= 15 * 0.4

z = 6

Answer 2

x = 12.5

Explanation:

Since the figures are similar then the ratios of corresponding sides are in proportion , that is

`(x)/(5)` =
`(10)/(4)` ( cross- multiply )

4x = 50 ( divide both sides by 4 )

x = 12.5