Question

AB= 4x + 7 and BC = 20x - 5 AB ~= BC

Answer 1

The value of the variable x is 3/4

What are congruent segments

Congruent segment are segments with equal or congruent lengths.

From the information given, we have that line AB is approximately equal to line BC. This is represented as;

AB = BC

Where;

• AB = 4x + 7
• BC = 20x - 7

Now, let's equate the expressions

4x + 7 = 20x - 5

collect like terms

4x - 20x = - 5 - 7

- 16x = - 12

Make 'x' the subject of formula

x = -12/-16

x = 3/4

Thus, the value of the variable x is 3/4

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Answer 2

Answer:

3/4

Step-by-step explanation:

Congruent segments have the same length, so:

$AB= BC \\ \\ 4x+7=20x-5 \\ \\ 12=16x \\ \\ x=3/4$