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LUCKY_DIMON [66]
3 years ago
14

Angle A and angle B are supplementary. The measure of angle A is 4 less than 7 times the measure of angle B. Find the measure of

A and B.
Mathematics
1 answer:
Alexeev081 [22]3 years ago
7 0
<span>A = 157, B = 23 The definition of supplementary angles is that they add up to 180 degrees. So A+B = 180. And A = 7B - 4. So write down the formula A + B = 180 Substitute the formula for A in terms of B 7B - 4 + B = 180 Combine terms 8B - 4 = 180 Add 4 to both sides 8B = 184 Divide both sides by 8 B = 23 Now calculate A in terms of B A = 7B - 4 A = 7 * 23 - 4 = 161 - 4 = 157 Verify that A and B add up to 180 157 + 23 = 180</span>
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Gino used 3/4 of the nails in a box. He has 16 nails left. How many did he use?
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16/1 *4/3

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2 years ago
Jose wants to rewrite 24+9 using the greatest common factor and the distributive property. Which expression should he write?
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3 years ago
Graph a line that contains the point (-5,-3) and has a slope of -2
Tpy6a [65]

Answer:

-->

Step-by-step explanation:

Graph (-5,-3) and use the slope, -2, to find another point. -2 can also be written as -\frac{2}{1}

\frac{rise}{run} =\frac{-2}{1} and  \frac{rise}{run} =\frac{2}{-1} **

Use both. This works because either way, they will lie on the same line with the same slope. So, starting at (-5,-3), go down two points (-)* and to the left 1 (+)*, then, starting at (-5,-3) again, go up two points (+)* then to the right 1 point (-)*.

* If the number is negative, you either go down or to the right. If the number is positive, you go up and to the left.

**Rise over run refers to the change in the y-axis and the change in the x-axis: \frac{rise}{run} =\frac{y-axis}{x-axis}. Only one number is negative because, if both were negative, that would make a positive number, but the slope is -2, not 2.

Another way you could do this is by finding points first. All you need to do is turn the slope into a "point". Remember, 2 is the y and 1 is the x:

-2=-\frac{2}{1} = (1,-2) and (-1,2)

Then, using (-5,-3) and your new points, add them separately:

(-5,-3)+(1,-2)\\(-5+1,-3+(-2))\\(-5+1,-3-2)\\(-4,-5)

(-4,-5) is one point

(-5,-3)+(-1,2)\\(-5+(-1),-3+2)\\(-5-1,-3+2)\\(-6,-1)

(-6,-1) is another point. Connect the three points. You can check your work on the graph:

3 0
3 years ago
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