Question

What is the value of x?

Answer 1

x=1

Explanation:

7x-6=13x-12

6=6x

x=1

Answer 2

x = 1

Explanation:

Given that:

∆ABC ≅ ∆ DEF By S.A.S. axiom

If two triangles are congruent, then they have the same length sides and the same measure angles.

Over here:

The side opposite the angle is congruent.

So,

BC = EF

Substitute the known value:

13x - 12 = 7x - 6

Subtract 7x on both sides.

13x - 12 - 7x = 7x - 6 - 7x

6x - 12 = - 6

Add 12 on both sides.

6x - 12 + 12 = - 6 + 12

6x = 6

Divide both sides by 6.

`\sf (6x)/(6)=(6)/(6)`

x = 1

Therefore, the value of x is 1.