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photoshop1234 [79]
2 years ago
7

Which angle is coterminal with 140°?​

Mathematics
1 answer:
Tpy6a [65]2 years ago
7 0

Answer:

A

Step-by-step explanation:

Every 360 degrees (full circle) that you add or subtract from 140 is coterminal

140 + 360 = 500

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2x-4=5x+20

-3x=24

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Step-by-step explanation:

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Solve the equation 1/6(x - 5) = 1/2(x + 6)
Semmy [17]

Answer:

-23/2

Step-by-step explanation:

x-5=3(x+6)

x-3x=18+5

-2x=23

x=-23/2

5 0
2 years ago
Maddie bought 3 2/3 yards of satin ribbon at the craft store. She wanted to make hair bows for the cheer squad. Each bow require
kotegsom [21]

Answer:

4

Step-by-step explanation:

Given that:

Total yards of satin bought by Maddie = 3\frac{2}{3} yards

Number of yards required make one ribbon = \frac{2}{3} yards

To find:

Number of complete bows that can be made ?

Solution:

First of all, let us learn about converting the mixed fraction to fractional form.

Formula:

a\dfrac{b}{c} = \dfrac{a\times c+b}{c}

Therefore, total yards of satin bought by Maddie can be written in fractional form as:

3\dfrac{2}{3} = \dfrac{3\times 3+2}{3} = \dfrac{11}{3}

One hair bow requires \frac{2}{3} yards of ribbon.

Number of hair bows that can be made, can be found by dividing the total ribbon length by ribbon required for making one hair bow.

Answer is:

\dfrac{\frac{11}{3}}{\frac{2}{3}}\\\Rightarrow \dfrac{11\times 3}{2\times 3}\\\approx 4

4 hair bows can be made.

4 0
2 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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