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User LuisAFK
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2 Answers

5 votes

Answer: x=25 , BC=42 , AB=42 , AC=84

Explanation:

B = half way of AC

^AB and BC are the same

AB

2(x) - 8

2(25) - 8 = 42

BC

x + 17
25 + 17 = 42

AC

42 + 42 = 84

User Fsw
by
7.5k points
4 votes

Answer:

x = 25

AB = 42

BC = 42

AC = 84

Explanation:

Given:

AB = 2x - 8

BC = x + 17

B is the midpoint of AC.

To find:

x = ?

AB = ?

BC = ?

AC = ?

Solution:

Since the midpoint divides the lines equally in two parts.

So,

AB = BC

Substitute the value :

2x - 8 = x + 17

Add 8 on both sides:

2x - 8 + 8 = x + 17 + 8

Simplify:

2x = x + 25

Subtract x on both sides:

2x - x = x + 25 - x

Simplify:

x = 25

Therefore,

x = 25

Now

Substitute the value of x in above expressions, we get

AB = 2 × 25 - 8 = 50 - 8 = 42

BC = 25 + 17 = 42

AC = AB + BC = 42 + 42 = 84

User Nickname
by
8.2k points

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