Question

The two triangles are similar.

What is the value of x?



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x =

Answer 1

`this \: triangles \: are \: similar \: so \\ sides \: must \: be \: in \: a \: ratio \\ (16)/(12) = (6x)/(5x - 2) \\ (4)/(3) = (6x)/(5x - 2) \\ 4(5x - 2) = 3 * 6x \\ 20x - 8 = 18x \\ x \: terms \: togather \\ 20x - 18x = 8 \\ 2x = 8 \\ x = (8)/(2) \\ x = 4 \\ thank \: you`

Answer 2

x=4

Explanation:

`(16)/(12)= (6x)/(5x-2)`

assuming that the triangles are similar, we can create this ratio of 16 or 12+4 to 6x and 12 to 5x-2

we can cross multiply to get 16(5x-2)=6x(12)

that leaves you with 80x-32=72x

we can then subtract 80x to both sides to get -32= -8x

solve by diving -8 from both sides which means that x=4