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MakcuM [25]
3 years ago
13

How many solutions are in this equation 14x+2=12x

Mathematics
2 answers:
stellarik [79]3 years ago
4 0
14x+2=12x\\\\14x-12x=-2\\\\2x=-2\ \ \ |:2\\\\x=-1\\\\There\ is\ one\ solution.
viktelen [127]3 years ago
3 0


14x+2=12x

[subtract 2 on both sides]

14x=12x-2

[subtract 12x on both sides]

2x=-2

[divide 2 on both sides]

x=-1

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Find the measure of one interior angle for the following regular polygon
shusha [124]

Answer:

Step-by-step explanation:

I am assuming that by "interior" angle you do not mean the central angle.

This is a 10-sided polygon, a decagon. That means that there are 10 triangles that can extend from the center, with their sides being equal to the radii of the decagon. If we extract one of these triangles we can find what the interior angle is. The vertex angle measures 360/10 which is 36.

Split this triangle in half from the vertex to the base, creating a right triangle. The vertex angle is also split in half, making this angle (the vertex angle is the one at the top of the triangle) 18 degrees. We already know that one angle inside this right triangle is 90 (definition of a right triangle) and to find the other one, we apply the Triangle Angle-Sum Theorem:

180 - 18 - 90 = 72 degrees. That is the measure of the base angle that is NOT the right angle, obviously.

4 0
3 years ago
Write the equation of a line parallel to y= 2x + 2 that passes through the point (-1,-7). Show your work.
oksian1 [2.3K]

Answer:

\large\boxed{y=2x-5}

Step-by-step explanation:

The slope-intercept form of an equation of a line:

y=mx+b

Parallel lines have the same slope. Therefore if given line is

y=2x+2

then the slope of our line is m=2.

We have the equation:

y=2x+b

The line passes through (-1, -7). Put the coordinsted pf the point to the equation:

-7=2(-1)+b

-7=-2+b          <em>add 2 to both sides</em>

-5=b\to b=-5

Finally:

y=2x-5

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sergey [27]

Answer:

11-3=8

Step-by-step explanation:

so your answer is going to equal 8

4 0
3 years ago
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