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geniusboy [140]
3 years ago
9

Two angle are supplementary angle A has a measure of 3x+12 and angle B has a measure of 4x+28, what is the measure of each angle

?
Mathematics
1 answer:
RideAnS [48]3 years ago
5 0

Answer:

A measures 72 and B measures 108

Step-by-step explanation:

If the angles are supplementary, that means that they add up to equal 180.  3x + 12 + 4x + 28 = 180.  Doing some algebra there gives you that 7x = 140 and x = 20.  Sub in 20 to angle A to get 3(20) + 12 = 72, and sub in 20 to angle B to get 4(20) + 28 = 108.  And of course, 108 + 72 = 180.

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Step-by-step explanation:

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One endpoint of a segment is (12, −8). the midpoint is (3, 18). find the coordinates of the other endpoint.
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3 years ago
The diameter of a spindle in a small motor is supposed to be 4.1 millimeters (mm) with a standard deviation of 0.1 mm. If the sp
adoni [48]

Answer:

The null hypothesis is H_0: \mu = 4.1

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Step-by-step explanation:

The diameter of a spindle in a small motor is supposed to be 4.1 millimeters

This means that the null hypothesis is that the diameter has the supposed value, that is, H_0: \mu = 4.1

If the spindle is either too small or too large, the motor will not work properly.  The manufacturer measures the diameter in a sample of 41 spindles to determine whether the mean diameter has moved away from the required measurement.

Tests if it has moved away, that is, if the mean is different from the specified value of 4.1. So the alternate hypothesis is H_a: \mu \neq 4.1

5 0
2 years ago
Suppose WXYZ is a parallelogram. Diagonals WY and XZ intersect at point V. If WVX = 130 degrees, find WVZ + XVY
rjkz [21]

Answer:  Choice A

100 degrees

========================================================

Explanation:

See the diagram below.

Angle WVX = 130 is marked in red.

Congruent vertical angles WVZ and XVY are each x degrees and are marked in blue.

A red and one blue angle combine to 180 degrees.

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x = 180-130

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The blue angles WVZ and XVY are 50 degrees each.

So they total 50+50 = 100 degrees

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2 years ago
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