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Mashutka [201]
4 years ago
13

What is the length of MN

Mathematics
2 answers:
dexar [7]4 years ago
8 0
15, because angle L and N are equal, 3x=x+10 so x=5, plugging it in, we get that MN is 15
Paraphin [41]4 years ago
4 0

Answer:

Option A. MN=15\ units

Step-by-step explanation:

we know that

An isosceles triangle has two equal sides and two interior equal angles

The triangle LMN is an isosceles triangle

therefore

ML=MN

substitute the values

3x=x+10

solve for x

3x-x=10

2x=10

x=10/2=5\ units

Find the length of MN

MN=x+10 -----> MN=5+10=15\ units

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Consider a Triangle ABC like the one below. Suppose that C = 98, A = 74, and b = 11 (figure is not drawn to scale.) solve the tr
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Answer:

A=73.8\°

B=8.2\°

c=76.3\ units

Step-by-step explanation:

step 1

Find the measure of side c

Applying the law of cosines

c^{2}= a^{2}+b^{2}-2(a)(b)cos(C)

substitute the given values

c^{2}= 74^{2}+11^{2}-2(74)(11)cos(98\°)

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step 2

Find the measure of angle A

Applying the law of sine

\frac{a}{sin(A)}=\frac{c}{sin(C)}

substitute the given values

\frac{74}{sin(A)}=\frac{76.3}{sin(98\°)}

sin(A)=(74)sin(98\°)/76.3

A=arcsin((74)sin(98\°)/76.3)

A=73.8\°

step 3

Find the measure of angle B

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The sum of the internal angles of a triangle must be equal to 180 degrees

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substitute the given values

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