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Nat2105 [25]
3 years ago
13

Triangle ABC is similar to triangle LMN by the AA Similarity Postulate. Also, m∠A = 129° and m∠C = 2(m∠M). What is m∠M?

Mathematics
1 answer:
Elza [17]3 years ago
4 0
Again, this is a triangle so the sum of the angles must be 180°, so we can say:

a+b+c=180, we are told a=129, b=2c, we will let c=M°

129+2c+c=180 combine like terms on left side

129+3c=180 subtract 129 from both sides

3c=51 divide both sides by 3

c=17°

So angle M=17°
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ANSWER

W(\frac{9}{7},\frac{51}{7} )

EXPLANATION

We want to find the coordinates of the point W(x,y) which divides V(-3,3) and X(9,13) in the ratio m:n=3:4.

The x-coordinate of this point is given by:

x= \frac{mx_2+nx_1}{m + n}

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x= \frac{21 - 12}{4 + 3}

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The y-coordinates is given by;

y= \frac{my_2+ny_1}{m + n}

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y= \frac{39+12}{4 + 3}

y= \frac{51}{7}

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W(\frac{9}{7},\frac{51}{7} )

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