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Dahasolnce [82]
3 years ago
15

In the figure, p || q.

Mathematics
1 answer:
tekilochka [14]3 years ago
6 0

Answer:

m3 = m7:  corresponding angles

m1 = m4:  vertical

m5 = m8: vertical

m1 = m5:  corresponding

m1 = m8:  alternate exterior angles

m2 = m6: corresponding

m2 = m3: vertical

m4 = m8: corresponding

m6 = m7: vertical

m3 = m6: alternate interior

m2 = m7: alternate exterior angles

m4 = m5: alternate interior angles

Step-by-step explanation:

Corresponding angles are in matching corners

Vertical angles are opposite angles with the corner touching

Alternate interior angles are opposite angles on the inside of the lines

Alternate exterior angles are opposite angles on the outside of the lines

m3 = m7:    matching corners


corresponding angles

m1 = m4:  opposite angles with corner touching


vertical angles

m5 = m8:  opposite angles with corner touching


vertical

m1 = m5:  matching corners


corresponding

m1 = m8:  opposite angles on the outside of the lines


alternate exterior angles

m2 = m6:  

matching corners


corresponding

m2 = m3:  opposite angles with corner touching


vertical

m4 = m8:  matching corners


corresponding

m6 = m7:  opposite angles with corner touching


vertical

m3 = m6:  opposite angles on the inside of the lines


alternate interior

m2 = m7:  opposite angles on the outside of the lines


alternate exterior angles

m4 = m5:  opposite angles on the inside of the lines

alternate interior angles

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A point of the form 25 +bi is 37 units from 13 – 31i. What is the value of b
Svetach [21]

If we consider the positive value of b, then the value of b is 4.

<h3>What is the coordinate plane of a complex number?</h3>

A complex number in the form z = x + iy takes a coordinate plane in terms of (x,y). From the given information, we are given a distance between two points:

  • 25 + bi = (25,b)
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Now, the distance between two points can be represented by using the relation:

\mathbf{D = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}}

\mathbf{37 = \sqrt{(13-25)^2+(-31-b)^2}}

\mathbf{37 = \sqrt{(-12)^2+(31+b)^2}}

\mathbf{37 = \sqrt{144+(31+b)^2}}

Taking the square of both sides

1369 = 144 + (31 + b)²

1369 - 144 = (31 + b)²

1225 = (31 + b)²

(31 + b)² = (35)²

(31 + b) = ±35

b = 35 - 31 or -35 -31

b = 4 or -66

Learn more about solving complex numbers here:

brainly.com/question/23729437

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The answer to that question is 4
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