What value of x would make KM β₯ JN?
Triangle J L N is cut by line segment K M. Line segment K...
Mathematics, 05.05.2020 15:08, okayjimz2003ov47ik
What value of x would make KM β₯ JN?
Triangle J L N is cut by line segment K M. Line segment K M goes from side J L to side L N. The length of J K is x minus 5, the length of K L is x, the length of L M is x + 4, and the length of M N is x minus 3.
Complete the statements to solve for x.
By the converse of the side-splitter theorem, if JK/KL = , then KM β₯ JN.
Substitute the expressions into the proportion: StartFraction x minus 5 Over x EndFraction = StartFraction x minus 3 Over x + 4 EndFraction.
Cross-multiply: (x β 5)() = x(x β 3).
Distribute: x(x) + x(4) β 5(x) β 5(4) = x(x) + x(β3).
Multiply and simplify: x2 β x β = x2 β 3x.
Solve for x: x = .
Answers: 2
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