6. Use the image below to find the missing value.
1 answer:
Option C:
The value of m is 4.
Solution:
Given data:
AB = 4m – 15
BC = 5m –6
AC = 15
<u>To find the value of m:</u>
Using segment addition postulate,
AB + BC = AC
4m – 15 + 5m –6 = 15
Arrange the like terms together.
4m + 5m – 15 – 6 = 15
9m – 21 = 15
Add 21 on both sides of the equation,
9m = 36
Divide by 9 on both sides of the equation.
m = 4
The value of m is 4.
Option C is the correct answer.
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3x + 2y = 39
5x - y = 13
Multiplying the last by two:
10x - 2y = 26
Adding to the first
13x = 65
x = 5
y = 5x-13 =25-13=12
Check:
3(5)+2(12)=39 good
5(5)-12=13 good
Answer: x=5, y=12
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Step-by-step explanation:
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