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Tanzania [10]
3 years ago
9

In a city, the distance between the Liebrary in the police station is 3 miles less than twice the distance between the police st

ation in the fire station. The distance between the Library and a police station is 5 miles. How far apart are the police station and the fire station?
Mathematics
1 answer:
Firdavs [7]3 years ago
4 0

Answer:

4

Step-by-step explanation:

l->p=5

p->f (5+3)/2=4

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Answer:

x=1332.5

Step-by-step explanation:

24x=(26)(1230)

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What is the value of x which proves that the runways are parallel? What is the measure of the larger angle?
makkiz [27]

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 =

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15x - 17 =

15(9) - 17 =

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Therefore the measure of the largest angle is 118°.

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