Question

30 points for brainliest need help asap
The two triangles are similar.

What is the value of x?



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x =

Answer 1

Answer:

The value of x is equal to $x=7\ units$

Step-by-step explanation:

we know that

If two figures are similar, then the ratio of its corresponding sides is equal and its corresponding angles are congruent

so

In this problem

$\frac{8}{14}=\frac{2x-2}{3x}\\ \\8*(3x)=14*(2x-2)\\ \\24x=28x-28\\ \\28x-24x=28\\ \\4x=28\\ \\x=7\ units$

Answer 2

Answer: x=7 units

Step-by-step explanation:

In the given picture, we have given two similar right triangles.

Since, we know that the corresponding sides of similar triangles are proportional.

Therefore for the given triangles, we have

$\frac{3x}{6+8}=\frac{2x-2}{8}\\\\\Rightarrow\frac{3x}{14}=\frac{2x-2}{8}\\\\\Rightarrow8(3x)=14(2x-2)\\\\\Rightarrow\ 24x=28x-28\\\\\Rightarrow\ 28x-24x=28\\\\\Rightarrow 4x=28\\\\\Rightarrow\ x=7$

Hence, the value of x=7 units