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Flura [38]
3 years ago
7

If two angles are supplementary, then they form a linear pair. IS THIS STATEMENT TRUE OR FALSE? WHY?

Mathematics
1 answer:
seraphim [82]3 years ago
5 0

<em>Answer:</em>

<em>(True)</em>

<em>Yes they form a liner pair.</em>

<em>Step-by-step explanation:</em>

<em>They form a because supplementary angles are two angles the sum of whose measures is 180º, so they can form a liner pair. Sometimes they may be be two separate angles. Linear pairs are adjacent angles who share a common ray and whose opposite rays form a straight line. </em>

<em>Hoper this helped you!</em>

<em></em>

<em></em>

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The box plot shows the science test scores for Mrs. Everly's students. Describe the shape of the distribution.
Stels [109]
The shape of the distribution is rectangular, also Uniform and Symmetrical 
8 0
3 years ago
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The annual expenditure of the US federal government is approximately 4 44 trillion dollars. If a one dollar bill is 0 . 0 0 0 1
kaheart [24]

Answer:

<em>A stack of 4 trillion one dollar bills will be  4\times 10^8 meters.</em>

Step-by-step explanation:

The annual expenditure of the US federal government is approximately 4 trillion dollars.

We know,  1 trillion dollars = 10¹² dollars.

So,  4 trillion dollars =(4\times 10^1^2) dollars.

Each one dollar bill is 0.0001 meters thick.

So, the total height of the stack of 4 trillion one dollar bills will be.....

[0.0001\times(4\times 10^1^2)]meters\\ \\ =[10^-^4\times(4\times 10^1^2)]meters\\ \\ =(4\times 10^8) meters


6 0
3 years ago
when graphed on a coordinate plane, Bumby avenue can be represented by the equation y=-4x-7. Primrose Avenue can be represented
Lilit [14]

The complete question is;

when graphed on a coordinate plane, Bumby avenue can be represented by the equation y = -4x - 7. Primrose Avenue can be represented by the equation 8x + 2y = 17. Are these two parallel?

A) They are parallel because their slopes are the same

B) They are not parallel because their slopes are the same

C) They are parallel because their slopes are opposite reciprocals

D) They are not parallel because their slopes are opposite reciprocals

Answer:

Option D: They are not parallel because their slopes are opposite reciprocals

Step-by-step explanation:

Bumby avenue is represented by the equation y = -4x - 7 while Primrose Avenue can be represented by the equation 8x + 2y = 17.

Now, the general formula for slope intercept is;. y = mx + c.

Where m is the slope and c is the y - intercept.

This means the slope of bamby is - 4 while that of Primrose is 8.

The slopes are not the same and so options A and B are not correct.

Now, -4 is an opposite reciprocal of 8/-2.

But an opposite reciprocal means that both lines on the graph are perpendicular to each other.

Thus, option C is wrong because they are not parallel.

So correct option is D.

7 0
3 years ago
Asked 03.28.2020
snow_tiger [21]

Distance to the farm is 24 miles

Step-by-step explanation:

  • Step 1: Let the speed of Peggy be x mph. Then the speed of Mike is x + 36 mph. Find the equation of distance for Mike and Peggy to the farm.

Time taken by Mike = 0.5 hr

Time taken by Peggy = 2 hrs

Distance is calculated by the equation Distance = Speed × Time

Distance traveled by Mike = (x + 36) × 0.5

Distance traveled by Peggy = x × 2

  • Step 2: Equate the 2 distances of Mike and Peggy as they are the same and find x.

(x + 36) × 0.5 = 2x

0.5x + 18 = 2x

1.5 x = 18

⇒ x = 18/1.5 = 12 mph

  • Step 3: Find the distance to the farm.

Distance to the farm = 2x = 24 miles

4 0
4 years ago
An antique dealer usually charges 20 percent more than his purchase price any vase sold in his store.during a clearance sale,all
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The answer is c. 10%
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