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zaharov [31]
3 years ago
10

What are supplementary angles ?

Mathematics
2 answers:
Firlakuza [10]3 years ago
5 0
Either of two angles whose sum is 180 degrees
Bond [772]3 years ago
4 0
Angles that equal 180 degrees
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A high school band asked a number of students whether they would like blue, gold, or both for the uniforms for the band. The res
Anna35 [415]
Given a Venn diagram showing the number of students that like blue uniform only as 32, the number of students that like gold uniform only as 25, the number of students that like blue and gold uniforms as 12 and the number of students that like neither blue nor gold uniform as 6.

Thus, the total number of students interviewed is 75.

Recall that relative frequency of an event is the outcome of the event divided by the total possible outcome of the experiment.

From the relative frequency table, a represent the relative frequency of the students that like gold but not blue.
From the Venn, diagram, the number of students that like gold uniform only as 25, thus the relative frequency of the students that like gold but not blue is given by
\frac{25}{75} = \frac{1}{3}=0.33=33\%

Therefore, a = 33% to the nearest percent.

Similarly, from the relative frequency table, b represent the relative frequency of the students that like blue but not gold.
From the Venn, diagram, the number of students that like blue uniform only as 32, thus the relative frequency of the students that like gold but not blue is given by
\frac{32}{75} = 0.427=42.7\%

Therefore, b = 43% to the nearest percent.
7 0
3 years ago
What is the best estimate of 11 1/5÷2 3/4
likoan [24]

Answer:4

Step-by-step explanation:

5 0
3 years ago
Drag the tiles to the boxes to form correct pairs.
FrozenT [24]

Answer:

1 .4x2-9= 2x+3,2x-3

2 .16x2-1=4x-1,4x+1

3 .16x2-4=4(2x+1)(2x-1)

4 .4x2-1=(2x+1)(2x-1)

Step-by-step explanation:

16x² − 1  = (4x − 1)(4x + 1) ;  16x² − 4  = 4(2x + 1)(2x − 1); 4x² − 1  = (2x + 1)(2x − 1) ;

4x² − 9 = (2x + 3)(2x − 3)

16x² − 1  is the difference of squares.  This is because 16x² is a perfect square, as is 1.  To find the factors of the difference of squares, take the square root of each square; one factor will be the sum of these and the other will be the difference.

The square root of 16x² is 4x and the square root of 1 is 1; this gives us (4x-1)(4x+1).

16x² − 4 is also the difference of squares.  The difference of 16x² is 4x and the square root of 4 is 2; this gives us (4x-2)(4x+2).  However, we can also factor a 2 out of each of these binomials; this gives us

2(2x-1)(2)(2x+1) = 2(2)(2x-1)(2x+1) = 4(2x-1)(2x+1)

4x² − 1  is also the difference of squares.  The square root of 4x² is 2x and the square root of 1 is 1; this gives us (2x-1)(2x+1).

4x² − 9 is also the difference of squares.  The square root of 4x² is 2x and the square root of 9 is 3; this gives us (2x-3)(2x+3).

3 0
3 years ago
What’s the distance between (5,1)and(3,6)
laiz [17]

<u>How to Find the Distance Between Two Points</u>

Distance formula: d(P, Q) =√(x2 − x1)^2+(y2 − y1)^2

If you use this equation the answer will be 5.

4 0
3 years ago
Aiuda porfavor es para un examen
Marianna [84]

Answer:

A

Step-by-step explanation:

5 0
2 years ago
Read 2 more answers
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