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sineoko [7]
3 years ago
8

Line m is intersected by line t , as shown in the diagram below. Based on the diagram, which of the following equations must be

true? A m∠1+m∠2=180°
B m∠1+m∠3=180°
C m∠2+m∠3=90°
D m∠2+m∠4=90°

Mathematics
1 answer:
Anna11 [10]3 years ago
3 0

the answer is quite simple on this one. angles 1 and 3 are equal, and angles 2 and 4 are equal.

if you thi k about moving line t then you can see 2 and 4 will not add to 90°. angles 2 and 3 do not add to 90° because their angles added make a straight line (180°). answer B is almost true but not quite since the angles are not perpendicular to each other (1 and 3).

therefore, answer is A because of said explanation about answer B in previous paragraph. they make a straight line (180°). just basic geometry.

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Which points lie on the line whose equation is 8x - 2y + 7 = -9? Select all that apply.
Anestetic [448]

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A.(-2, 0)

C. (-1.4)

Step-by-step explanation:

we know that

If a point lie on the line, then the point must satisfy the equation of the line (makes the equation true)

we have

8x-2y+7=-9

subtract 7 both sides

8x-2y=-9-7

8x-2y=-16

divide by 2 both sides

4x-y=-8

Substitute the value of x and the value of y of each point in the linear equation and analyze the result

<u><em>Verify each point</em></u>

case A) we have

(-2, 0)

For x=-2, y=0

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4(-2)-(0)=-8

-8=-8 ---> is true

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the point lie on the line

case B) we have

(1, 3)

For x=1, y=3

substitute

4(1)-(3)=-8

1=-8 ---> is not true

so

the point not lie on the line

case C) we have

(-1, 4)

For x=-1, y=4

substitute

4(-1)-(4)=-8

-8=-8 ---> is true

so

the point lie on the line

case D) we have

(1, -4)

For x=1, y=-4

substitute

4(1)-(-4)=-8

8=-8 ---> is not true

so

the point not lie on the line

case E) we have

(0, -1)

For x=0, y=-1

substitute

4(0)-(-1)=-8

1=-8 ---> is not true

so

the point not lie on the line

7 0
3 years ago
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