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4 years ago

Given: l | | m m 1 = 140° m 3 = 50° m 6 =

Mathematics

1 answer:

Arturiano [62]4 years ago

6 0

Answer:

m∠6 = 90°

Step-by-step explanation:

∠1 and ∠2 are a linear pair. This means they are supplementary, or their measures sum to 180°. To find m∠2, we subtract m∠1 from 180:

180-140 = 40°

The measure of ∠2 is 40°.

The sum of the measures of the angles in a triangle is 180°. We have ∠2 and ∠3; to find the measure of ∠6, we subtract these two from 180:

180-(40+50) = 180-90 = 90°

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Hasmeet walks once round a circle with a diameter of 80m. There are eight points equally spaced on the circumference of the circ

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Circumference = πD
Circumference = π(8)m

There are 8 points,
Distance between two points = 8π ÷ 8
Distance between two points = π or 3.14m

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Multiply and find the total<br><br> Algebra

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Answer:

n - 1

Step-by-step explanation:

(n-1)(n-5) / 2(n+3) ×2(n+3) / (n-5)

Kindly check attached picture for simplification

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3 years ago

In this polygon, which angle is an interior angle?

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3 years ago

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2. The graph represents the amount

dexar [7]

Answer:

Slope: -3/2

With the question, we can determine that the slope with two points: (0,13.5) and (9,0). To calculate use the equation $\frac{y2-y1}{x2-x1}$ and get $\frac{0-13.5}{9-0} =\frac{-13.5}{9} =\frac{-3}{2}$

This slope means that the water is decreasing at a rate of 3/2 gallons per minute.

6 0

2 years ago

Mr. James McWhinney, president of Daniel-James Financial Services, believes there is a relationship between the number of client

vlada-n [284]

Answer:

$\sum_{i=1}^n x_i = 334$

$\sum_{i=1}^n y_i =611$

$\sum_{i=1}^n x^2_i =13970$

$\sum_{i=1}^n y^2_i =51581$

$\sum_{i=1}^n x_i y_i =26584$

With these we can find the sums:

$S_{xx}=\sum_{i=1}^n x^2_i -\frac{(\sum_{i=1}^n x_i)^2}{n}=13970-\frac{334^2}{10}=2814.4$

$S_{xy}=\sum_{i=1}^n x_i y_i -\frac{(\sum_{i=1}^n x_i)(\sum_{i=1}^n y_i)}{n}=26584-\frac{334*611}{10}=6176.6$

And the slope would be:

$m=\frac{6176.6}{2814.4}=2.195$

Nowe we can find the means for x and y like this:

$\bar x= \frac{\sum x_i}{n}=\frac{334}{10}=33.4$

$\bar y= \frac{\sum y_i}{n}=\frac{611}{10}=61.1$

And we can find the intercept using this:

$b=\bar y -m \bar x=61.1-(2.195*33.4)=-12.213$

So the line would be given by:

$y=2.195 x -12.213$

Step-by-step explanation:

The data given on this case is:

x: 14,12,20,16,46,23,48,50,55,50

y: 24,24,28,30,80,30,90,85,120,110

For this case we need to calculate the slope with the following formula:

$m=\frac{S_{xy}}{S_{xx}}$

Where:

$S_{xy}=\sum_{i=1}^n x_i y_i -\frac{(\sum_{i=1}^n x_i)(\sum_{i=1}^n y_i)}{n}$

$S_{xx}=\sum_{i=1}^n x^2_i -\frac{(\sum_{i=1}^n x_i)^2}{n}$

So we can find the sums like this:

$\sum_{i=1}^n x_i = 334$

$\sum_{i=1}^n y_i =611$

$\sum_{i=1}^n x^2_i =13970$

$\sum_{i=1}^n y^2_i =51581$

$\sum_{i=1}^n x_i y_i =26584$

With these we can find the sums:

$S_{xx}=\sum_{i=1}^n x^2_i -\frac{(\sum_{i=1}^n x_i)^2}{n}=13970-\frac{334^2}{10}=2814.4$

$S_{xy}=\sum_{i=1}^n x_i y_i -\frac{(\sum_{i=1}^n x_i)(\sum_{i=1}^n y_i)}{n}=26584-\frac{334*611}{10}=6176.6$

And the slope would be:

$m=\frac{6176.6}{2814.4}=2.195$

Nowe we can find the means for x and y like this:

$\bar x= \frac{\sum x_i}{n}=\frac{334}{10}=33.4$

$\bar y= \frac{\sum y_i}{n}=\frac{611}{10}=61.1$

And we can find the intercept using this:

$b=\bar y -m \bar x=61.1-(2.195*33.4)=-12.213$

So the line would be given by:

$y=2.195 x -12.213$

5 0

3 years ago