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3 years ago

The interior angles formed by the sides of a pentagon have measures that sum to 540°. What is the measure of angle B?

Mathematics

2 answers:

Sindrei [870]3 years ago

6 0

Just took the test. 130° is not correct. The corrrect answer is 110°.

attashe74 [19]3 years ago

3 0

X - 35 +130 + x - 5 + x - 30 + 75 = 540
3x +135 = 540
3x = 405
x= 405/3
x= 135

m<B = x - 5
m<B = 135 - 5
m<B = 130

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mixer [17]

Answer:

We conclude that the equation in slope-intercept form of the line that passes through (12,9) and is perpendicular to the graph of y = -3/4x + 1 will be:

$y=\frac{4}{3}x-7$

Step-by-step explanation:

We know the slope-intercept form of the line equation

y = mx+b

where

m is the slope

b is the y-intercept

Given the line

y = -3/4x + 1

comparing with the slope-intercept form of the line equation

The slope = m = -3/4

We know that a line perpendicular to another line contains a slope that is the negative reciprocal of the slope of the other line, such as:

slope = m = -3/4

Thus, the slope of the new perpendicular line = – 1/(-3/4) = 4/3

Using the point-slope form

$y-y_1=m\left(x-x_1\right)$

where m is the slope of the line and (x₁, y₁) is the point

substituting the values of the slope = 4/3 and the point (12, 9)

$y-y_1=m\left(x-x_1\right)$

$y-9=\frac{4}{3}\left(x-12\right)$

Add 9 to both sides

$y-9+9=\frac{4}{3}\left(x-12\right)+9$

$y=\frac{4}{3}x-16+9$

$y=\frac{4}{3}x-7$

Therefore, we conclude that the equation in slope-intercept form of the line that passes through (12,9) and is perpendicular to the graph of y = -3/4x + 1 will be:

$y=\frac{4}{3}x-7$

7 0

2 years ago

9 -4n+ 3n = 8n + 3 -3

ArbitrLikvidat [17]

Answer:

Answer:

n = 1

Step-by-step explanation:

This equation is just basic alegebra. First, combine like terms to get

9 - n = 8n. (Because 3 - 3 = 0, and -4n + 3n = -n.) Now the equation is much simpiler; add n to both sides to get 9 = 9n. Divide 9 by both sides to get that n = 1.

You can check your answer by plugging 1 in for n.

9 - 4(1) + 3(1) = 8(1) + 3 - 3

9 - 4 + 3 = 8 + 3 - 3

5 + 3 = 11 - 3

8 = 8

Therefore, n is proven to equal 1.

Hope this is helpful kid sorry i went very far yesterday hope you can forgive me but Anyways here it is <3

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3 years ago

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Drupady [299]

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2 years ago

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