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Gnom [1K]
3 years ago
7

Two angles are complementary three times the measure of one of the angles is 10° more than the measure of the other angle. find

the difference between the measure of the larger angle in the smaller angle
Mathematics
2 answers:
Mumz [18]3 years ago
8 0

Answer:

The difference is 40,

Step-by-step explanation:

Complementary angles , x+y =90

so we know angle 1, we call it  3x and angle 2 we call it y= 3x+10

so 3x +10= 90-x

4x=100

x=25

angle 1= 3(25) - 10

y= 65

65-25= 40

NikAS [45]3 years ago
5 0

Answer:

  40°

Step-by-step explanation:

Let x represent one of the angles, and y represent the other one. Then we have ...

  x + y = 90

  3x = y +10

Substituting for y in the first equation, we have ...

  x + (3x -10) = 90

  4x = 100

  x = 25

  y = 3(25) -10 = 65

The difference between the angles is ...

  y -x = 65 -25 = 40 . . . . degrees

The difference between the angle measures is 40 degrees.

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A machine covers 5/8 square foot in 1/4 hour
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The question is incomplete. Here is the complete question:

A machine covers 5/8 square foot in 1/4 hour. what is the unit rate?

Answer:

2.5 square feet per hour

Step-by-step explanation:

Given:

Area covered by a machine = frac{5}{8}\ ft^2

Time taken to cover the given area = \frac{1}{4}\ h

Now, unit rate of the first quantity with respect to second quantity is the magnitude of the first quantity being when the second quantity is one unit.

Here, the first quantity is the area covered and the second quantity is the time taken.

So, unit rate is the area covered by the machine in 1 hour.

In order to find that, we use the unitary method and divide the area by the total time taken. Therefore,

Unit\ rate=\frac{Total\ area\ covered}{Total\ time\ taken}\\\\Unit\ rate=(\frac{5}{8}\ ft^2)\div (\frac{1}{4}\ h)\\\\Unit\ rate=\frac{5}{8}\times \frac{4}{1}\ ft^2/h\\\\Unit\ rate=\frac{20}{8}=2.5\ ft^2/h

Thus, the unit rate is 2.5 square feet per hour.

5 0
3 years ago
You are ordering a pizza and soda for the big game. A deep dish pizza costs $10.25, and a two-liter of soda is $2.00. For each t
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12.25 - 1.50x = 4.75....with x being the number of touchdowns
-1.50x = 4.75 - 12.25...I subtracted 12.25 from both sides
-1.50x = - 7.50...now divide both sides by -1.50
x = -7.50 / -1.50
x = 6......They would have to score 6 touchdowns

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3 years ago
Since the slope of a vertical line is undefined, is it possible ofr vertical lines to be parallel?
ikadub [295]

Yes, because if you have x=5 and x=10 they are parallel lines to each other.

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John is planning a trip to Disneyland in Los Angeles, CA. He is leaving his house in Sacramento with a full tank of gas. The tab
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A student is asked to find the length of the hypotenuse of a right triangle. The length of one leg is 32 centimeters, and the le
nataly862011 [7]

Answer:

Step-by-step explanation:

You need the Pythagorean Theorem to solve this question. There is no be part.

Equation

c^2 = a^2 + b^2

Givens

a = 32

b = 21

c = ?

Solution

c^2 = a^2 + b^2              Substitute the values

c^2 = 32^2 + 21^2          Expand

c^2 = 1024 + 441            Combine

c^2 = 1465                     Take the square root of both sides

√c^2 = √1465  

c = 38.275

Answer: 38.3 rounded

6 0
2 years ago
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