Question

What is the value of x to

Answer 1

The value of x is 50.6 cm

Step-by-step explanation:

It is given that MN = 46.2 cm, AN = 14 cm, MP = 72.6 cm and MB = x

By side splitter theorem, we have,

`(MA)/(AN) =(MB)/(BP)`

Substituting the values, we have,

`(32.2)/(14) =(x)/(72.6-x)`

Multiplying both sides by
`72.6-x`, we get,

`((72.6-x)32.2)/(14) =x`

Multiplying, we get,

`(2337.72-32.2x)/(14) =x`

Multiplying both sides by 14, we have,

`2337.72-32.2x=14x`

Adding both sides by 32.2x, we get,

`2337.72=46.2x`

Dividing both sides by 46.2, we have,

`x=50.6`

Thus, the value of x is 50.6