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Digiron [165]
3 years ago
14

What is the value of x which proves that the runways are parallel? What is the measure of the larger angle?

Mathematics
1 answer:
makkiz [27]3 years ago
6 0

Answer:

118°

Step-by-step explanation:

When two parallel lines are cut by a tranversal, then the exterior angles are supplimentary and the corresponding angles are congruent.

Therefore the angle above (15x - 17)° is also (5x + 17)° and the angle below (5x + 17)° is also (15x - 17)°.

Angles on a straight line adds up to 180°. So to know the measure of the larger angle we must both equations and equal it to 180° to find x in order to know the larger angle.

(5x + 17) + (15x - 17) = 180

5x + 15x + 17 - 17 = 180

20x = 180

20x/20 = 180/20

x = 9°

Nkw let's substitute x = 9 into the equations

5x + 17 =

5(9) + 17 =

= 62°

15x - 17 =

15(9) - 17 =

= 118°

Both equations should add up to be 180°.

Therefore the measure of the largest angle is 118°.

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SVETLANKA909090 [29]

Answer:

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Step-by-step explanation:

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3 years ago
Please help! Thanks thO!
Snezhnost [94]

Answer:

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7 0
3 years ago
4/9 divided by blank equals 12 what is the blank
Ann [662]
(<span>4/9)/x = 12 </span>
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3 years ago
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mylen [45]
It would be negative.

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And a negative version of a number is always less than the positive number.

Hope this helped!
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4 years ago
Round 578.683 m 47.3333 kg and 789.5cm to four significant figures
Pani-rosa [81]

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