If ∆gfe ~ ∆cbe, find the value of x

The value of x given that ∆GFE is congruent to ∆CBE is; x = 9

We are given that;

∆GFE is congruent to ∆CBE.

Now, the corresponding sides of both triangles are;

We see that;

FE = 4x - 1

BE = x + 5

CE = 24

GE = 60

Thus,by similar triangles, we have;

(4x - 1)/(x + 5) = 60/24

>> (4x - 1)/(x + 5) = 5/2

>> 2(4x - 1) = 5(x + 5)

>> 8x - 2 = 5x + 25

>> 8x - 5x = 25 + 2

3x = 27

x = 27/3

x = 9

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let's solve your equation step-by-step.

24−3x=−27

step 1: simplify both sides of the equation.

24−3x=−27

24+−3x=−27

−3x+24=−27

step 2: subtract 24 from both sides.

−3x+24−24=−27−24

−3x=−51

step 3: divide both sides by -3.

−3x

−3

=

−51

−3

x=17

answer:

x=17

step-by-step explanation:

mark brainliest and have a great day!