Question

Given △ FDR≅△ TGH, what is the value of x? Please make sure to show all your work.

Answer 1

2x+6=8x-30
(add 30)
2x+36=8x
(subtract 2x)
36=6x
(divide by 6)
6=x

Answer 2

Answer:

x = 6

Step-by-step explanation:

Since triangle FDR is congruent to triangle TGH, you will put them to equal each other and solve for x.

triangle FDR = 2x + 6

triangle TGH = 8x - 30

2x + 6 = 8x - 30

2x + 6 - 6 = 8x - 30 - 6

2x = 8x - 36

2x - 8x = 8x - 8x - 36

-6x = -36

-6x / - 6 = -36 / -6

x = 6

Now that you have find x, we will check if the statement is true that triangle FDR is congruent to triangle TGH. Plug 6 in the x place.

triangle FDR :-

2x + 6

2(6) + 6

12 + 6

18

triangle TGH :-

8x - 30

8(6) - 30

48 - 30

18

So this makes the statement true that triangle FDR is congruent to triangle TGH. Hope this helps, thank you :) !!