HeberD300303 HeberD300303

Today at 11:38 PM
Mathematics

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If BC = 5x - 9 and AB = 2x + 21, find the value of x.

If BC = 5x - 9 and AB = 2x + 21, find the value of x. class=

Answer :

BeckettC116092 BeckettC116092

Today at 11:42 PM

Suppose that B is the midpoint of segment AC; therefore, AB=BC

Thus,

[tex]\begin{gathered} AB=BC \\ \Rightarrow2x+21=5x-9 \end{gathered}[/tex]

Solve for x as shown below

[tex]\begin{gathered} \Rightarrow3x-9=21 \\ \Rightarrow3x=30 \\ \Rightarrow x=10 \end{gathered}[/tex]

Therefore, the answer is x=10

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