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8090 [49]
3 years ago
6

What is the relationship between angles A and B? They are congruent. They are complementary. They are supplementary. There is no

relationship between them.

Mathematics
2 answers:
prohojiy [21]3 years ago
6 0

Answer:

They are complementary.

Step-by-step explanation:

See attachment for the missing figure.

As in the figure, its the right angle triangle.

∠A+∠B=90° ( by complementary angles  )

Lets verify now,

59°+31°=90° is correct

Angle A and Angle B are complementary angles

Schach [20]3 years ago
4 0

An image is attached to complete the question.

Answer:

The correct option is B

They are complementary.

Step-by-step explanation:

Angle A, and angle B in the attached image sum up to ninety degrees.

Two angles are said to be complementary if they add up to make ninety degrees. This characteristic makes us conclude that the two given angles, which are 59°, and 31°, have the sum: 59° + 31° = 90°, and are therefore, complementary.

The correct option is B.

If the attachment is not what completes your question, then knowing the meanings of supplementary angles, and congruent angles, is enough to help decide what option to choose.

Supplementary angles are angles that sum up to make one hundred and eighty degrees. (180°)

Congruent angles are angles that have the same shape and size.

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For this case we have that by definition, the equation of a line of the slope-intersection form is given by:

y = mx + b

Where:

m: It's the slope

b: It is the cut-off point with the y axis

We have two points through which the line passes, so we can find the slope:

(x_ {1}, y_ {1}) :( 4, -4)\\(x_ {2}, y_ {2}) :( 8, -10)\\m = \frac {y_ {2} -y_ {1}} {x_ {2} -x_ {1}} = \frac {-10 - (- 4)} {8-4} = \frac {-10+ 4} {4} = \frac {-6} {4} = - \frac {3} {2}

Thus, the equation is of the form:

y = - \frac {3} {2} x + b

We substitute one of the points and find "b":

-4 = - \frac {3} {2} (4) + b\\-4 = - \frac {12} {2} + b\\-4 + 6 = b\\b = 2

Finally, the equation is of the form:

y = - \frac {3} {2} +2

ANswer:

y = - \frac {3} {2} +2

4 0
3 years ago
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4 0
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