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Find the value of x if m || I, m<1 =2x+44 and m<5=5x+38

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Final answer:

To find the value of x given that m||l and m<1 = 2x+44 and m<5 = 5x+38, set the equations equal since corresponding angles are equal, and solve for x. After simplifying, we find that x equals 2.

Step-by-step explanation:

Finding the Value of x in Parallel Lines

To find the value of x given that lines m and l are parallel and m<1 = 2x+44 and m<5 = 5x+38, we need to use the fact that corresponding angles are equal when two lines are parallel and cut by a transversal. This means that m<1 and m<5 are equal, so we can set the two equations equal to each other:
2x + 44 = 5x + 38

Now we solve for x:

  • Subtract 2x from both sides: 44 = 3x + 38
  • Subtract 38 from both sides: 6 = 3x
  • Divide both sides by 3: x = 2

Therefore, the value of x is 2.

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