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Rufina [12.5K]
3 years ago
7

Which equation can be used to solve for in the following diagram? (8x - 20)° 3xº

Mathematics
1 answer:
gayaneshka [121]3 years ago
7 0

Answer:

  • A. 3x° + (8x - 20)° = 90°

Step-by-step explanation:

The two given angles are complementary and sum to 90°

  • 3x° + (8x - 20)° = 90°

Therefore correct choice is A.

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A student is 7 years old. If you triple the teachers age and add the student's age the answer is 163. How old is the teacher?
pogonyaev

Answer:

52

Step-by-step explanation:

We can write this out as an equation. Let's say that the teacher's age is x. Triple the teachers age plus the students age is 163, which can be written out as:

3x + 7 = 163

We want to isolate the variable, so subtract 7 from both sides. This gives us:

3x = 156

Finally, we divide both sides by  3, giving:

x=52

So the teacher is 52 years old.

Hope this helps!

4 0
3 years ago
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scoundrel [369]

Answer:

Step-by-step explanation:

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3 years ago
Problem PageQuestion Flying against the jetstream, a jet travels 3050 miles in 5 hours. Flying with the jetstream, the same jet
goblinko [34]

Answer: the rate of the jet in still air is 685 mph and the rate of the jetstream is 75 mph

Step-by-step explanation:

Let x represent the rate of the jet in still air.

Let y represent the rate of the jet jetstream.

Distance = speed × time

Flying against the jetstream, a jet travels 3050 miles in 5 hours. This means that the total speed of the jet would be (x - y) mph. Therefore,

3050 = 5(x - y)

3050/5 = x - y

x - y = 610 - - - - - - - - - - - - - -1

Flying with the jetstream, the same jet travels 3800 miles in 4 hours. This means that the total speed of the jet would be (x + y) mph. Therefore,

3800 = 4(x + y)

3800/5 = x + y

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Adding equation 1 to equation 2, it becomes

2x = 1370

x = 1370/2 = 685mph

Substituting x = 685 into equation 1, it becomes

685 - y = 610

y = 685 - 610 = 75mph

3 0
3 years ago
Will the square of a negative number always be positive? Explain why.
qwelly [4]

the square of a negative number always be positive

eg: -2² = -2×-2 = (-×- = +) +4

the cube of a negative number always be positive

eg: -2³ = -2×-2×-2 = (-×-×- = +) -8

hope it helps...!!!

6 0
2 years ago
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Triangle ABC is dilated by a scale factor of 2 with a center of dilation at the origin. Finish the rule for this dilation.
Vitek1552 [10]

Abc is your answer

Step-by-step explanation:

you said ABC

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3 years ago
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