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2 years ago

Which angle pairs are supplementary? Check all that apply.

Mathematics

2 answers:

Zina [86]2 years ago

7 0

Answer:

Supplementary Angles are two angles the sum of whose measures is 180º. Supplementary angles can be placed so they form a linear pair (straight line), or they may be two separate angles.

ANTONII [103]2 years ago

5 0

Answer:

b) ∠4 and ∠3

c) ∠4 and ∠5

e) ∠3 and ∠6

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Car rental company charges 29 per day and $0.24 per mile. If a car was rented for 7 days and the total bill was $448.76, how far

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Answer:

The car drove for 1,024 miles.

Step-by-step explanation:

x=miles driven

y=days driven

448.76=29x+0.24y

448.76=29(7)+0.24y

448.76=203+0.24y

245.76=0.24y

y=1,024

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2 years ago

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3 years ago

Masha biked 20km 20 minutes faster than Dasha biked 20km. Find the speed of each cyclist if one biked 2km/h faster than the othe

motikmotik

Answer:

12 km/h and 10 km/h

Step-by-step explanation:

Let the speed of Masha = s, speed of Dasha = d

Distance = 20 km
Time difference = 20 min = 1/3 hr
Speed difference = 2 km/h

As per above info we get following equations:

s = d + 2
20/s + 1/3 = 20/d

Substitute s and solve for d:

20/(d + 2) + 1/3 = 20/d

Get rid of fraction by multiplying all terms by 3d(d + 2):

60d + d(d + 2) = 60(d + 2)
60d + d² + 2d = 60d + 120
d² + 2d = 120
d² + 2d + 1 = 121
(d + 1)² = 11²
d + 1 = 11
d = 10

Find s:

s = 10 + 2 = 12

The answer is

Masha's speed 12 km/h and Dasha's speed 10 km/h

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2 years ago