3 years ago

Solve for x with an explanation please thank you

Mathematics

1 answer:

djverab [1.8K]3 years ago

7 0

Answer:

x = 10

Step-by-step explanation:

The internal segment is a bisector because the two halves of the angle are marked equal.

From that we know that

$\frac{24-10}{21} = \frac{10}{2x - 5}\\~\\\frac{14}{21} = \frac{10}{2x - 5}\\~\\\frac{2}{3} = \frac{10}{2x - 5}\\~\\\\3\cdot 10 = 2 \cdot (2x - 5)\\15 = 2x - 5\\20 = 2x\\x = 10$

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