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Serggg [28]
3 years ago
15

Which is a pair of vertical angles?

Mathematics
2 answers:
malfutka [58]3 years ago
7 0

Answer: ∠TRS and ∠VRW  (Choice B)

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

Explanation:

Ignore ray RU. I would redraw the entire thing without ray RU as part of the picture. See below.

Notice how lines TW and SV intersect to form an X shape.

The angles TRS and VRW shown in red are opposite one another, so we consider them to be vertical angles. Vertical angles are always congruent.

bagirrra123 [75]3 years ago
5 0

Answer:

B ∠TRS and ∠VRW

Step-by-step explanation:

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A container built for transatlantic shipping is constructed in the shape of a right rectangular prism. Its dimensions are 7.5 ft
Yuri [45]

Considering the definition of right rectangular prism and its volume,  the total weight of the contents is 38.81 pounds.

<h3>Right rectangular prism</h3>

A right rectangular prism (or cuboid) is a polyhedron whose surface is formed by two equal and parallel rectangles called bases and by four lateral faces that are also parallel rectangles and equal two to two.

<h3>Volume of right rectangular prism</h3>

To calculate the volume of the rectangular prism, it is necessary to find the product of its dimensions, or of the three edges that converge at a certain vertex.

That is, to calculate the volume of a rectangular prism, multiply its 3 dimensions: length×width×height.

<h3>Volume of the container </h3>

In this case, you know that:

  • the dimensions of the container built are 7.5 ft by 11.5 ft by 3 ft.
  • the container is entirely full and, on average, its contents weigh 0.15 pounds per cubic foot.

So, the volume of the container is calculated as:

7.5 ft× 11.5 ft× 3 ft= <u><em>258.75 ft³</em></u>

Then, the total weight of the contents is calculated as:

258.75 ft³×  0.15 pounds per cubic foot= <u><em>38.8125 pounds≅ 38.81 pounds</em></u>

Finally, the total weight of the contents is 38.81 pounds.

Learn more with this similar problems:

<u>brainly.com/question/13962136</u>

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8 0
3 years ago
The ages of 11 students enrolled in an on-line macroeconomics course are given in the following steam-and-leaf display:
blsea [12.9K]

Answer:

The standard deviation of the age distribution is 6.2899 years.

Step-by-step explanation:

The formula to compute the standard deviation is:

SD=\sqrt{\frac{1}{n}\sum\limits^{n}_{i=1}{(x_{i}-\bar x)^{2}}}

The data provided is:

X = {19, 19, 21, 25, 25, 28, 29, 30, 31, 32, 40}

Compute the mean of the data as follows:

\bar x=\frac{1}{n}\sum\limits^{n}_{i=1}{x_{i}}

  =\frac{1}{11}\times [19+19+21+...+40]\\\\=\frac{299}{11}\\\\=27.182

Compute the standard deviation as follows:

SD=\sqrt{\frac{1}{n}\sum\limits^{n}_{i=1}{(x_{i}-\bar x)^{2}}}

      =\sqrt{\frac{1}{11-1}\times [(19-27.182)^{2}+(19-27.182)^{2}+...+(40-27.182)^{2}]}}\\\\=\sqrt{\frac{395.6364}{10}}\\\\=6.28996\\\\\approx 6.2899

Thus, the standard deviation of the age distribution is 6.2899 years.

7 0
3 years ago
Answer fast plz and thank u
jenyasd209 [6]
Because they have the same measurements and are equal
6 0
3 years ago
Donald Duck's car gets 30 miles per gallon. How many miles can he drive on 9.2 gallons of gas? At $ 2.19 a gallon, how much woul
Vinil7 [7]

Answer:

276 miles, $ 20.148

Step-by-step explanation:

Given:

Donald Duck's car travels in 1 gallon gas = 30 miles

Cost of 1 gallon = $ 2.19

Question asked:

Distance travel in 9.2 gallons = ?

Cost of 9.2 gallons of gas = ?

Solution:

By applying unitary method:

His car travels in 1 gallon = 30 miles

His car will travel in 9.2 gallons = 9.2\times30

                                                    =  276 miles

Cost of 1 gallon = $ 2.19

Cost of 9.2 gallons = 9.2\times2.19

                                = $ 20.148

5 0
3 years ago
the perimeter of a parallelogram is 64 meters .The width of the parallelogram is 8 meters less than its length .Find the length
WITCHER [35]

Answer:

The length of the parallelogram is 18 meters

The width of the parallelogram is 16 meters

Step-by-step explanation:

The perimeter of a parallelogram is 68 meters

LEt x be the length of the parallelogram

Width is 2 meters less than its length

Width =x-2

Perimeter of parallelogram = 2(length + width)

Perimeter of parallelogram =

=

Add 2 on both sides

Divide by 4 on both sides

x=18

The length of the parallelogram is 18 meters

The width of the parallelogram is 18-2= 16 meters

5 0
3 years ago
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