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IRISSAK [1]
3 years ago
10

What is the measure of angle A? What is the measure of angle B?

Mathematics
2 answers:
adell [148]3 years ago
8 0

Answer:

a=72 and b=108

Vera_Pavlovna [14]3 years ago
3 0

<A ≅ <C

5y - 3 = 3y + 27

2y = 30

y = 15

<A = 5y - 3

<A = 5(15) - 3

<A = 75 - 3

<A = 72

<A + <B = 180

72 + <B = 180

<B = 108

Hope this helps!

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Answer:

m<N, m<L, m<M

Step-by-step explanation:

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Find an equation for the perpendicular Bisector of the line segment whose endpoints are (-9,-8) and (7,-4
Alina [70]

equation for the perpendicular Bisector of the line segment whose endpoints are (-9,-8) and (7,-4)

Perpendicular bisector lies at the midpoint of a line

Lets find mid point of  (-9,-8) and (7,-4)

midpoint formula is

\frac{x_1+x_2}{2} ,\frac{y_1+y_2}{2}

\frac{-9+7}{2} ,\frac{-8+-4}{2}

midpoint is (-1, -6)

Now find the slope of the given line

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slope = \frac{y2-y1}{x2-x1} = \frac{-4-(-8)}{7-(-9)}

slope = \frac{-4+8}{7+9}= \frac{4}{16} =\frac{1}{4}

Slope of perpendicular line is negative reciprocal of slope of given line

So slope of perpendicular line is -4

slope = -4  and midpoint is (-1,-6)

y - y1 = m(x-x1)

y - (-6) = -4(x-(-1))

y + 6 = -4(x+1)

y + 6 = -4x -4

Subtract 6 on both sides

y = -4x -4-6

y= -4x -10

equation for the perpendicular Bisector y = -4x - 10


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