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polet [3.4K]
3 years ago
12

Angle A and Angle B are supplementary. If angle A is half the measure of angle B find the measure of each angle

Mathematics
1 answer:
Allushta [10]3 years ago
5 0

Answer:

A=60 and B=120

Step-by-step explanation:

divide them into three parts- two parts+one half

180/3=60 60x2=120 60x1=60

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Complete the expression that represents the table<br><br> Y=___x
bezimeni [28]

Answer:

The equation that represents the table is:

  • y=\frac{9}{2}x

Step-by-step explanation:

Taking two points from the table

  • (2, 9)
  • (4, 18)

\mathrm{Slope\:between\:two\:points}:\quad \mathrm{Slope}=\frac{y_2-y_1}{x_2-x_1}

\left(x_1,\:y_1\right)=\left(2,\:9\right),\:\left(x_2,\:y_2\right)=\left(4,\:18\right)

m=\frac{18-9}{4-2}

m=\frac{9}{2}

As the slope-intercept form is

\:y=mx+b

Plugging (2, 9) to find the y-intercept 'b'

9=\frac{9}{2}\left(2\right)+b

\mathrm{Switch\:sides}

\frac{9}{2}\left(2\right)+b=9

\mathrm{Remove\:parentheses}:\quad \left(a\right)=a

\frac{9}{2}\cdot \:2+b=9

9+b=9

b=0

so the equation becomes

\:y=mx+b

  • m=\frac{9}{2}
  • b=0

y=\frac{9}{2}\left(x\right)+0

y=\frac{9}{2}x

Therefore, the equation that represents the table is:

  • y=\frac{9}{2}x

The graph of the equation is also attached below.

6 0
3 years ago
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