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Anna35 [415]
3 years ago
13

The figure below shows a straight line AB intersected by another straight line t:

Mathematics
1 answer:
BaLLatris [955]3 years ago
4 0

When two straight lines intersect, the pairs of nonadjacent angles in opposite posi-tions are known as vertical angles.

If a segment AB is intersected by a transversal labeled t, then ∠1 and ∠3 and ∠2 and ∠4 are vertically angles formed by the transversal t on the segment AB.

Angles ∠1 and ∠2 can be described as adjacent and supplementary angles, so

m\angle 1+m\angle 2=180^{\circ}.

Angles ∠3 and ∠2 can be also described as adjacent and supplementary angles, so

m\angle 3+m\angle 2=180^{\circ}.

Subtract from the first equation the second equation:

m\angle 1+m\angle 2-(m\angle 3+m\angle 2)=180^{\circ}-180^{\circ},\\ m\angle 1-m\angle 3=0,\\ m\angle 1=m\angle 3.

Similarly you can prove that m\angle 2=m\angle 4.

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EMERGENCY A speeding ticket costs $80 plus $10 for each mile per hour over the speed limit the violator was traveling. How much
Basile [38]

Answer:

$200

Step-by-step explanation:

Fine calculated per mile = $10

Fine calculated for 'm' mile = 10 * m  = 10m

Cost paid by violator = 80 + 10m

m = 12 miles

Cost paid by the violator = 80 + 10*12

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3 0
3 years ago
If it starts out at -10 degrees, what will the temperature be if it rises 30 degrees?
Bond [772]

add 30 to -10:

-10 + 30 = 20

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4 0
3 years ago
What is the volume of this right prism?<br><br> 96 in³<br><br> 60 in³<br><br> 48 in³<br><br> 44 in³
yulyashka [42]

Answer:

96 in³

Step-by-step explanation:

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4 0
2 years ago
Write the standard equation of the circle below.
s344n2d4d5 [400]

Answer:

The first answer is correct.

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7 0
3 years ago
Y - (-9) = 8?<br><br> I am confused
Yuki888 [10]

Answer:

y = -1

Step-by-step explanation:

y - ( - 9) = 8

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y = 8 - 9

y = -1

- ( - turns to + because you are subtracting a negative number

If my answer is incorrect, pls correct me!

If you like my answer and explanation, mark me as brainliest!

-Chetan K

4 0
3 years ago
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