Answer:
1. x = 5
2. AB= 27
3. BC = 19
Step-by-step explanation:
Solving for X:
The entire segment is 46. Parts AB and BC make up the whole thing. So, to find x, add both expressions and set them equal to 46.
4x+7+3x+4=46 (combine like terms)
7x+11=46 (subtract 11 from both sides)
7x = 35 (divide by 7)
x = 5
Finding AB:
Plug 5 in for x and evaluate the expression.
4(5)+7
20 + 7= 20
AB is 27
Finding BC:
Plug in 5 for x and evaluate the expression.
3(5)+4
15+ 4=19
Check your work.
Add the values of AB and BC to make sure they add up to 46, which is AC.
27 + 19 = 46, so this is correct.
