Question

If bcd~gef find value of x

Answer 1

Answer: x=13

Explanation:

:(x+4) 57 = (2x-7) 5157x + 228 = 102x - 357357+228 = 102x - 57x585 = 45x13 =

Answer 2

`x = 13`

Explanation:

Given

See attachment

Required

Find x

From the attachment, we have:

`BC = x + 4`

`BD = 2x - 7`

`GE = 51`

`GF = 57`

Because both triangles are similar, we use the following equivalent ratios:

`BC : BD = GE : GF`

Substitute values for each parameter

`x + 4 : 2x- 7 = 51 : 57`

Convert to fractions

`(x + 4)/(2x- 7) = (51 )/( 57)`

Simplify the right-hand side

`(x + 4)/(2x- 7) = (17)/(19)`

Cross Multiply

`19(x + 4) = 17(2x - 7)`

`19x + 76 = 34x - 119`

Collect Like Terms

`19x - 34x = -76 - 119`

`-15x = -195`

Solve for x

`x = (-195)/(-15)`

`x = 13`