Question

A perpendicular bisector intersects line segment A C at point B. The bisector also contains points E and D. Line segment A B is 3 x minus 2. Line sector A D is 8 x minus 1. Line sector D C is 6 x + 9.

What is the measure of AC?
5 units
13 units
26 units
39 units

Answer 1

26 units

Explanation:

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Answer 2

(C)26 units

Explanation:

Since point B bisects AC into two equal parts

AB=BC

Since the two right triangles have side BD in common, we can then say that the two triangles are congruent and the length of the hypotenuses (AD and DC) are equal.

If AD=DC

8x-1=6x+9

8x-6x=9+1

2x=10

x=5

Now,

AB=3x-2

=3(5)-2

=13 Units

Since AB=BC

AC=AB+BC

=13+13

AC=26 units

The measure of AC is 26 units.