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Viefleur [7K]
3 years ago
11

If the ratio of two supplementary angles is 7 to 8, calculate the measure of the larger of the two angles.

Mathematics
1 answer:
MArishka [77]3 years ago
5 0
Supplementary angles add up to 180

7:8....added = 15

7/15(180) = 1260/15 = 84
8/15(180) = 1440/15 = 96 <==
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Answer:

The slope-intercept form of the line equation  is:

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Step-by-step explanation:

The slope-intercept form of the line equation

y = mx+b

where

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Given the points

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Determining the slope between (-1, -2) and (3, 4)

\mathrm{Slope}=\frac{y_2-y_1}{x_2-x_1}

\left(x_1,\:y_1\right)=\left(-1,\:-2\right),\:\left(x_2,\:y_2\right)=\left(3,\:4\right)

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m=\frac{3}{2}

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m = 3/2

substituting m = 3/2 and the point (3, 4) in the slope-intercept form of the line equation

y = mx+b

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switch sides

\frac{3}{2}\left(3\right)+b=4

\frac{9}{2}+b=4

subtract 9/2 from both sides

\frac{9}{2}+b-\frac{9}{2}=4-\frac{9}{2}

b=-\frac{1}{2}

now substituting m = 3/2 and b = -1/2 in the slope-intercept form of the line equation

y = mx+b

y=\:\frac{3}{2}x\:+\:\left(-\frac{1}{2}\right)

y=\:\frac{3}{2}x\:-\frac{1}{2}

Therefore, the slope-intercept form of the line equation  is:

  • y=\:\frac{3}{2}x\:-\frac{1}{2}
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