Answer: 68
Step-by-step explanation:
LM + MN = LN
x + 7 + 3x + 20 = 6x - 5
4x + 27 = 6x - 5
-4x -4x
27 = 2x - 5
+5 +5
32 = 2x
÷2 ÷2
16 = x
MN: 3x + 20
3(16) + 20
48 + 20
68
This question is based on a principle in Mathematics called the Midpoint of a linelineline
Based on this question, the line = LNLN
To solve this question, we have the expression
LM + MN = LN
Step 1
We solve for x
Given that: LN= 6x-5 , LM= x + 7 , and MN= 3x + 20
Hence,
x + 7 + 3x + 20 = 6x - 5
Collect like terms
7 + 20 + 5 =6x - x - 3x
32 = 2x
Divide both sides by the coefficient of x = 2
32/2 = 2x/2
x = 16
The value of x = 16
Step 2
Find MN
Given that : MN= 3x + 20 and x = 16
We substitute 16 for x in MN
MN = 3(16) + 20
MN = 48 + 20
MN = 68
Therefore, the value of MN is 68.
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