Answer:
FE = 28 and YZ = 28
Step-by-step explanation:
In similar triangles the ratios of corresponding sides are equal.
(4)
=
, substitute values
=
( cross- multiply )
39(5x - 2) = 42(4x + 2) ← distribute parenthesis on both sides
195x - 78 = 168x + 84 ( subtract 168x from both sides )
27x - 78 = 84 ( add 78 to both sides )
27x = 162 ( divide both sides by 27 )
x = 6
Thus
FE = 5x - 2 = 5(6) - 2 = 30 - 2 = 28
(5)
=
, substitute values
=
( cross- multiply )
35(3x - 7) = 40(2x + 2) ← distribute parenthesis on both sides
105x - 245 = 80x + 80 ( subtract 80x from both sides )
25x - 245 = 80 ( add 245 to both sides )
25x = 325 ( divide both sides by 25 )
x = 13
Thus
YZ = 2x + 2 = 2(13) + 2 = 26 + 2 = 28
Answer:
Answer your own question.
Step-by-step explanation:
Listen to your teacher.
Answer: It is 6x+12
Step-by-step explanation: Distribute 2 to the parenthesis, then do the same at the second parenthesis, 10x+6-4x+6, combine like terms, 10x-4x and +6+6, so 6x+12 is the final result.
Answer:
x = 13
Step-by-step explanation:
For this case we must solve the following equation:

So, we have:

We apply distributive property to both sides of the equation:

We add 14x to both sides of the equation:

We subtract 70 to both sides of the equation:

So, the solution is: 
Answer:
