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4 years ago

Just question 1A and 2A with explanation please. Lots of point and brainliest!

Mathematics

2 answers:

Yakvenalex [24]4 years ago

4 0

Answer:

1a. x + 74.5= 90

subtract both sides by 74.5

x= 15.5° the results

2a. Set up the given

x + 180=180

subtract both sides by 180

x = 0 is the results

Butoxors [25]4 years ago

3 0

1/2 = 0.5

74 & 1/2 = 74 + 1/2 = 74 + 0.5 = 74.5

The complement to this angle is 90 minus the angle, so,

complement = 90 - angle

complement = 90 - 74.5

complement = 15.5

Convert this to a mixed number

15.5 = 15 + 0.5 = 15 + 1/2 = 15 & 1/2

If the given angle is 74 & 1/2 degrees, then the complement is 15 & 1/2 degrees

<h3>Answer: 15 & 1/2 degrees</h3>

==========================================

180 is the given angle. The supplement, let's call it x, will add to the given angle to get 180.

x+180 = 180

x+180-180 = 180-180

x = 0

So if we add 0 to the given angle 180, we get the result 180

<h3>Answer: 0 degrees</h3>

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Dominik [7]

Answer:

m< 2= 95

m< 3= 85

m< 4= 95

Step-by-step explanation:

All adjacent angles are the same, making m< 3 85. 85 + 85 = 170. Because all of it is equal to 360 (a circle) subtract 360 by 170. Than m<4 and m< 2 both need to split it so you than divide 190 by 2 and get 95.

4 0

3 years ago

In major league soccer, standings are determined by points. Three points are awarded for each win, 1 point is awarded for each t

Vlada [557]

Answer:

They won 17 games and drew 4 games

Step-by-step explanation:

The given parameters are;

The number of points the major league soccer team finished with = 55 points

The number of games the soccer team played = 28 games

The number of losses the soccer team had = 7 losses

The number of points awarded for each win = 3 points

The number of points awarded for each tie = 1 points

The number of points awarded for each loss = 0 points

Let x represent the number of wins, y represent the number of draws, and let z represent the number losses

Therefore;

z = 7

x + y + z = 28

3·x + y + 7×0 = 55

Therefore, we have the following system of equations;

x + y = 21...(1)

3·x + y = 55...(2)

Which gives;

$\begin{bmatrix}1 & 1\\ 3 & 1\end{bmatrix} \begin{bmatrix}x \\ y\end{bmatrix} = \begin{bmatrix}21 \\ 55\end{bmatrix}$

The inverse of the matrix is given as follows;

$\dfrac{1}{1 - 3} \times \begin{bmatrix}1 & -3\\ -1 & 1\end{bmatrix} = \begin{bmatrix}-0.5 & 0.5\\ 1.5 & -0.5\end{bmatrix}$

Therefore;

$\begin{bmatrix}x \\ y\end{bmatrix} = \begin{bmatrix}-0.5 & 0.5\\ 1.5 & -0.5\end{bmatrix} \times \begin{bmatrix}21 \\ 55\end{bmatrix} = \begin{bmatrix}17 \\ 4\end{bmatrix}$