Question

Solve for x show me how u did it step by step please

Answer 1

Explanation:

9.6 is to 12 as x is to (12 + 8)

9.6 / 12 = x/ 20

x = 20 * 9.6/12 = 16 cm

Answer 2

x = 16 cm

Explanation:

Given:

BD= 8 cm

OD = 12 cm

CD = 9.6 cm

To find:
find AB = x cm

ΔOCD is similar to ΔOAB

Which means that all corresponding side lengths are proportional.

We have the following proportion:

`\boxed{\sf (AB)/(CD) = (OB)/(OD)= (OA)/(OC)}`

We are given that:

OB = OD + DB = 12 + 8 = 20 cm,

Taking Two ratio,

`\sf (AB)/(CD) = (OB)/(OD)`

Plugging these values into the proportion to get:

`\sf (x)/(9.6) = (20)/(12)`

Solving for x, we get:

`\sf x = (20 \cdot 9.6 )/(12) = \boxed{\sf 16}cm`

Therefore, Value of x is 16 cm.