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3 years ago

two angles are supplementary. if one angle has a measure twice the other angle what are the measures of the angles

1 answer:

5 0

X + y = 180
x = 2y

2y + y = 180
3y = 180
y = 180/3
y = 60

x = 2y
x = 2(60)
x = 120

ur 2 angles are : 60 degrees and 120 degrees

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3 a western beach is reducing width by 10 feet every 5 years for the first 10 years the patter then became less constant dunes b

Anna71 [15]

A. Western Beach is reducing was width by 10 feet every 5 years for the first 10 years, then the pattern became less constant. Dunes Beach experienced a stable and fast increase in width, 25 feet every 5 years of 5 feet per year.

B. Somewhere between years 11 and 12 they had the same width.

C. You can place the values on a graph and connect the points, and look at the intersections to determine points in time where they were of the same width.

First, lets look at the data. Western Beach (or WB for short) decreases its width by 10 feet every 5 years from year 0 to year 10. Between year 11 and year 15 the pattern shifts and becomes less changing since there is barely any change between years 12 and 15. Dunes Beach (or DB) increases steadily by 25 feet every 5 years or 5 feet per year.

Assuming the changes in width happen over time and gradually, at some point between year 10 and 11, both beaches would have likely had the same width, somewhere between 70 and 75.

To determine the exact point in time where they meet we would need to draw a graph, with the width in feet on the X axis and the year on the Y axis. Then we place all the pairs in the graph by their coordinates, and connect the points that correspond to each beach. We then see where the lines intersect and use mathematics to determine the values of X and Y, giving us the time and width when the two beaches were equal.

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4 0

3 years ago

Problem: It takes Chantal 6 hours to plow a garden. When her Grandpa Joss comes to visit, it takes him 10 hours to do the same a

Sidana [21]

Answer:

it would take 7 minutes to plow the whole garden.

Step-by-step explanation:

3 0

2 years ago

To find how high school students feel about hot lunches, Adam walks to the nearest high When a=6 and b=22, c=33. If c varies dir

Delvig [45]

Answer:The equation that models the solution will be

33 = 22k / 6

Step-by-step explanation:

The two types of variation involved in this problem are direct variation and inverse variation.

In direct variation, when one item changes in the positive or negative direction, the other item also changes in the positive or negative direction.

In inverse variation, when one item changes in the positive or negative direction, the other item also changes in the negative or positive direction.

From the information given,

c varies directly with b

If we introduce a direct proportionality constant, k, then,

c = kb

c also varies inversely with a

If we introduce an inverse proportionality constant, k, then,

c = k/b

Therefore, c = kb / a

When a=6 , b=22 and c=33.

The equation that models the solution will be

33 = 22k / 6

8 0

3 years ago

Determine the best method to solve the system of equations. Then solve the system.

maxonik [38]

Answer:

x=1 y = -1/2

(1,-1/2)

Step-by-step explanation:

7x-2y=8

5x+2y=4

I would use elimination since we have 2y in one equation and -2y in the other

7x-2y=8

5x+2y=4

--------------------

12x = 12

Divide each side by 12

12x/12 = 12/12

x =1

The substitute back into equation 2

5(1) +2y = 4

5 +2y = 4

Subtract 5

5-5+2y = 4-5

2y = -1

Divide by 2

2y/2 = -1/2

y = -1/2

8 0

3 years ago

Read 2 more answers

Jason plans to pay the water bill with two equal payments. Water:35$ Gas 14$

inna [77]

Answer:

Equal 2 payments of 17.50$.

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3 years ago