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babymother [125]
3 years ago
11

PLEASE PLEASE HELP WITH THIS

Mathematics
1 answer:
Phoenix [80]3 years ago
4 0
Since triangles ABC and BCD are similar, we can establish a proportion between the lengths of corresponding sides:
\frac{AC}{BC} = \frac{BC}{CD}

We can infer from our picture that BC=m. Also we can find the length of AC by adding AD and CD:
AC=AD+CD
AC=11+7
AC=18

Lets replace the values in our proportion:
\frac{AC}{BC} = \frac{BC}{CD}
\frac{18}{m} = \frac{m}{7}
Solving for m:
m^2=(18)(7)
m^2=126
m= \sqrt{126}

We can conclude that the correct answer is: D \sqrt{126}
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