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True [87]
2 years ago
15

Which relationship describes angles 1 and 2?

Mathematics
1 answer:
stiks02 [169]2 years ago
6 0
They are vertical angles and here’s why.

Vertical angles are a pair of opposite angles formed by intersecting lines.

Supplementary angles are two angles that equal 180 when added together.

Adjacent angles are two angles that have a common side and a common vertex.

Complementary angles are two angles that add up to 90 degrees.

Hope this helped!
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Mr. Young is offered an investment opportunity. Kyra says she will invest his money at a 6% simple interest rate over the next 7
gregori [183]

Answer:

$126

Step-by-step explanation:

Given that:

Investment is done as per Simple interest.

Principal = $3000

Time for which the investment is to done = 7 years

Rate of interest = 6%

To find:

Interest earned when the investment matures?

Solution:

Formula for Simple Interest :

Simple\ Interest = \dfrac{PRT}{100}

Where P is the principal amount

R is the Rate of Interest

T is the time for which the investment is made

Putting the given values:

Simple\ Interest = \dfrac{3000\times 6\times 7}{100}\\\Rightarrow Simple\ Interest = \dfrac{12600}{100}\\Simple\ Interest = \$126

Therefore, the answer is:

Interest earned is <em>$126</em>.

8 0
3 years ago
Steve and Abby purchased a set of vases to place on a 12 foot long mantel above their fireplace. They want to place one vase 1/4
Nonamiya [84]

Answer: One vase should be placed 3 feet from the end of the mantel and the other vase should be placed 9 feet from the same end.

Step-by-step explanation:

You know that lenght of the mantel above their fireplace is 12 feet.

They want to place one vase \frac{1}{4} of the distance from one end of the mantel. This distance in feet is:

distance_{vase1}=(12feet)(\frac{1}{4})\\\\distance_{vase1}=3feet

 They want to place the other vase \frac{3}{4} of the distance from the same end of the mantel. Therefore, this distance in feet is:

distance_{vase2}=(12feet)(\frac{3}{4})\\\\distance_{vase2}=\frac{36feet}{4}\\\\distance_{vase2}=9feet

Therefore, one vase should be placed 3 feet from the end of the mantel and the other vase should be placed 9 feet from the same end.

5 0
3 years ago
The dimensions of a box that is a rectangular prism are 3 inches, 4 inches, and 6 inches. What is the length of the diagonal fro
Neporo4naja [7]

Answer:

7.8 in

Step-by-step explanation:

Given:-

- The dimension of rectangular prism:

                                   (3 x 4 x 6) inches

Find:-

What is the length of the diagonal from the point R to point S, to the nearest tenth of an inch?

Solution:-

- We will set up an origin with coordinates ( 0 , 0 , 0 ) at point R. Then the coordinates of point S would be ( 3 , 4 , 6 ).

- Then we will use the distance between two points formula in cartesian coordinate system:

                    Distance = \sqrt{(x_1 - x_2)^2 + (y_1 - y_2)^2 + (z_1 - z_2)^2}

Where the coordinates of two points ( x1 , y1 , z1 ) & ( x2 , y2 , z2 ).

- Using R( 0 , 0 , 0 ) & S( 3 , 4 , 6 ), the distance |RS| would be:

                   |RS| = \sqrt{(0 - 3)^2 + (0 - 4)^2 + (0 - 6)^2}\\\\|RS| = \sqrt{ 9 + 16 + 36}\\\\|RS| = \sqrt{61} = 7.81024

- The distance |RS| to nearest 10th of an inch is = 7.8 in  

4 0
3 years ago
People grapes
maksim [4K]

Answer:

1:6

5:30

?:426

You would take the ratio of each one which is simply 1:6, so to reduce ?:426 into 1:6, you would divide 426/6=71, so it would be

71:426

8 0
3 years ago
Find the distance between the points (1,3) and -7,2
Mashutka [201]

Answer:

I believe it is 59. Does it not give you any chooses?

Step-by-step explanation:

13 -72

6 0
3 years ago
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