Mathematics: Angles A and B are complementary. Explain how to find the measure ofAngle BifAngle A has a measure of 36°.

Angles A and B are complementary. Explain how to

isaiah1027

09.10.2020

B has a measure of 54°.

Step-by-step explanation:

Complementary angles have a sum of 90°, so the sum of the measures of angles A and B is 90°. Subtract 36° from 90° and angle B has a measure of 54°.

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diaamondz

04.08.2021

The system of linear inequalities is represented by the graph is:

$y\dfrac{2}{3}x+3\ ,\ y\leq -\dfrac{1}{3}x+2$

Step-by-step explanation:

Clearly from the graph we could observe that as one of the inequality is a strict inequality while the other is a inequality with a equality sign.

Since, one of line is dotted and the other is a solid line.

Also, we see that:

The dotted line is a line passing through (-3,1) and (0,3)

Hence, the equation of line is:

$y-1=\dfrac{3-1}{0-(-3)}\times (x-(-3))\\\\\\y-1=\dfrac{2}{3}\times (x+3)\\\\\\y=\dfrac{2}{3}x+2+1\\\\\\y=\dfrac{2}{3}x+3$

and also we could see that the shaded region is away from the origin.

Hence, the inequality is:

$y\dfrac{2}{3}x+3$

Similarly the other equation is a solid line passing through (6,0) and (0,2)

Hence, the equation of this line is:

$y-0=\dfrac{2-0}{0-6}\times (x-6)\\\\\\y=\dfrac{2}{-6}\times (x-6)\\\\\\y=-\dfrac{1}{3}x+2$

Also, the shaded region is towards the origin.

Hence, the inequality that holds true is:

$y\leq -\dfrac{1}{3}x+2$

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