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Ivenika [448]
2 years ago
5

Use the given information to write an equation and solve the problem. (28-31 in the picture)

Mathematics
2 answers:
DanielleElmas [232]2 years ago
6 0
Answers :
28/ 120 degrees
29/ 30 degrees
30/ 56 & 124 degrees
31/ 72, 108, 18 degrees
tia_tia [17]2 years ago
3 0

Answer:

28. 120 degrees

29. 30 degrees

30. 56 degrees & 124 degrees

31. 72 degrees, 108 degrees, and 18 degrees

Step-by-step explanation:

We assign variable x for the answer we are looking for (28-29).

28.

Supplement means x + y = 180 degrees. We also know x = 2y. Substitution gives us 3y = 180 degrees, so y = 60 degrees and x = 120 degrees.

29.

Complement means x + y = 90 degrees. We are given 2x = y. Substitution brings us 3x = 90 degrees, x = 30 degrees.

30.

Supplement means x + y = 180 degrees. We are told that y = 2x + 12, so we substitute. This gives 3x + 12 = 180 degrees, x = 56 degrees. Substituting that back into the equation for y, we get 124 degrees.

31.

Supplement means x + y = 180 degrees. Complement means x + z = 90 degrees.  Using our given info, we know y = 6z. We can substitute that in to get x + 6z = 180. Subtracting our second and third equations, we get 5z = 90, z = 18 degrees.  Therefore, x = 72 degrees, y = 108 degrees.

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Answer:

2400 miles²

Step-by-step explanation:

Given that:

Area off the coast is rectangular ;

Dimension of location :40 miles by 66 miles

The area of the location will be : the area of a rectangle ;

The area of a rectangle = Length * width

Area = 40 miles * 60 miles

Area = 2400 miles²

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2 years ago
Find the center of the circle whose equation is (x - 8) 2 + (y + 2) 2 = 64.
SashulF [63]

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y + 2 (Take the +2 and make it -2)

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The equation y = kx represents a proportional relationship between x and y, where k is the constant of proportionality. For a mo
valentinak56 [21]

Answer:

Step-by-step explanation:

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where,

k is the constant of proportionality

Given:

d = st

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3 0
3 years ago
Solve this equation. 25) v - 6(4v + 6) = -82
grin007 [14]

Answer:

v = 2

Step-by-step explanation:

Hi there! I'm glad I was able to help you solve this equation!

Let's start by simplifying both sides of the equation. It's easier to solve it this way!

v - 6 (4v + 6) = -82

Distribute:

v + (-6) (4v) + (-6) (6) = -82

v + -24v + -36 = -82

Combine 'like' terms:

(v  -24v) + (-36) = -82

-23v - 36 = -82

Next, you'll want to add 36 to both sides of the equation.

-23v-36 + 36 = -82 + 36

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Finally, divide both sides by -23.

\frac{-23v}{-23} = \frac{-46}{-23}

v = 2

I hope this helped you! Leave a comment below if you have any further questions! :)

7 0
3 years ago
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