Question

Please help me solve this fast

Answer 1

Answer x=4 w=1.5

Be/w=as/ay
Be/cd=an/ac
4/6=x/2+2=x=4 w=1.5

Answer 2

w = 1.5 , x = 4

Explanation:

assuming you require to find w and x

Δ ABE and Δ ACD are similar ( AA postulate )

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

`(AB)/(AC)` =
`(BE)/(CD)` ( substitute values )

`(3)/(3+w)` =
`(4)/(6)` =
`(2)/(3)` ( cross- multiply )

2(3 + w) = 9 ( divide both sides by 2 )

3 + w = 4.5 ( subtract 3 from both sides )

w = 1.5

and

`(AE)/(AD)` =
`(BE)/(CD)` ( substitute values )

`(x)/(x+2)` =
`(4)/(6)` =
`(2)/(3)` ( cross- multiply )

3x = 2(x + 2)

3x = 2x + 4 ( subtract 2x from both sides )

x = 4