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musickatia [10]
3 years ago
10

Help please !!!!?!!!!

Mathematics
1 answer:
Bingel [31]3 years ago
4 0

Answer:

m < 2 = 45°

Step-by-step explanation:

m < 1 and m < 3 are corresponding angles that lie on the same side of the transversal.  Since they are corresponding angles, then it means that they have the same measure.

Therefore, if m < 1 = 135°, then m < 3 = 135°.

Also, the sum of m < 2 and m < 3 = 180° because they are supplementary angles.

Therefore:

m < 2 + m < 3 = 180°

m < 2 + m < 135° = 180°

m < 2 = 180° - m < 135°

m < 2 = 45°

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Step-by-step explanation:

I know these are the correct number of marbles because I set up these numbers as fractions and solved for x.

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You would do this because we are trying to find the number of marbles that are red out of the 24 marbles.

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2 years ago
Question 101 points)
maw [93]

Answer:

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Step-by-step explanation:

\text{The slope-intercept form of an equation of a line:}\\\\y=mx+b\\\\m-slope\\b-y-intercept\\\\\text{The formula of a slope:}\\\\m=\dfrac{y_2-y_1}{x_2-x_1}\\\\===============================

\text{We have the point:}\\\\(5,\ 1)\ \text{and}\ (-4,\ 7).\ \text{Substitute:}\\\\m=\dfrac{7-1}{-4-5}=\dfrac{6}{-9}=-\dfrac{6:3}{9:3}=-\dfrac{2}{3}\\\\\text{We have the equation in form:}\\\\y=-\dfrac{2}{3}x+b\\\\\text{Put the coordinates of the point (5, 1) to the equation:}\\\\1=-\dfrac{2}{3}(5)+b\\\\1=-\dfrac{10}{3}+b\qquad\text{add}\ \dfrac{10}{3}\ \text{to the both sides}\\\\\dfrac{3}{3}+\dfrac{10}{3}=b\to b=\dfrac{13}{3}\\\\\text{Finally:}\\\\y=-\dfrac{2}{3}x+\dfrac{13}{3}

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Step-by-step explanation:

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