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mafiozo [28]
2 years ago
13

PLEASE HELP!!

Mathematics
1 answer:
MAVERICK [17]2 years ago
6 0

Answer:

43°

Step-by-step explanation:

Calculating for the measure of angle C using

<h3>sine rule</h3>

\frac{sin18}{9}  =  \frac{sinc}{20} \\ sinc =  \frac{sin18 \times 20}{9}  \\ sinc = 0.6867 \\ c =   \csc(0.6867)   \\ c = 43.3869 \\ c = 43 \: degrees

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BlackZzzverrR [31]

The value of n is 12. and m is 6root5

We have given the diagram,

The measurement of m,

n = 12

According to the altitude theorem

<h3>What is the altitude theorem?</h3>

The right triangle altitude theorem or geometric mean theorem is a result in elementary geometry that describes a relation between the altitude on the hypotenuse in a right triangle and the two-line segments it creates on the hypotenuse.

24/n = n/6

The Cross multiply

24 * 6 = n²

144 = n²

n² = 144

n = √144

n = 12

m^2=6^2+n^2

m^2=6^2+12^2\\m^2=36+144\\m^2=180

m=\sqrt{180} \\m=2\cdot \:3\sqrt{5}\\m=6\sqrt{5}

Hence the value of n is 12.

To learn more about the measurement visit:

brainly.com/question/25716982

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3 years ago
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Answer:

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Step-by-step explanation:

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