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UNO [17]
3 years ago
15

What’s the correct answer for this?

Mathematics
2 answers:
snow_tiger [21]3 years ago
5 0

Answer

D.

Explanation

mIH = 44

mIJ = 46

mJK = 77

ADDING THEM ALL TO FIND THE MEASURE OF m<HOK

<HOK = 44+46+77

<HOK = 167°

Olenka [21]3 years ago
4 0
I think the correct answer is D
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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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