Question

Given: Point C is the midpoint of AB


AC = 7x – 10: CB = 3x + 10

Prove: AC = 25



Drag and drop reasons into the boxes to correctly complete the proof.

Answer 1

As C is the midpoint of AB, AC=AB

Therefore, 7x-10=3x+10

4x=20

x=5

Substituting x=5 into the expression for AC:

AC=7(5)-10

=35-10

=25

QED

Answer 2

Answer:

Step-by-step explanation:

If point C is the midpoint of the line AB, then segment AC will be equal to CB.

It is given in the question, AC = 7x - 10 and CB = 3x+ 10

Therefore, AC = CB

(7x - 10) = (3x + 10)

(7x - 10) - 3x = (3x + 10) - 3x

4x - 10 = 10

(4x - 10) + 10 = 10 + 10

4x = 20

$x=\frac{20}{4}$

x = 5

It is given that AC = 7x - 10

                              = 7(5) - 10

                              = 35 - 10

                              = 25

Hence it is proved that AC = 25.