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n200080 [17]
2 years ago
8

Can someone explain this

Mathematics
1 answer:
ycow [4]2 years ago
7 0

Answer:

Step-by-step explanation:

To find measures of angles m and n

The triangle to the left has three sides of equal length.

This means that it will also have three angles of equal measure.

The internal angles of a triangle sum to 180°

So the internal angles of the left triangle are 180/3 = 60°

The top right angle is made up of one of the 60° angles and angle n

60 + n = 90

n = 30°

Again the internal angles of a triangle sum to 180°, so the right triangle

m + n + 90 = 180

m = 180 - 90 - 30

m  = 60°

or we could realize that the top and bottom horizontal lines are parallel because the vertical line on the right makes right angles to both of them.

Knowing that they are parallel, we also know that angle m and the top right 60° angle of the left triangle are opposite internal angles of a line intersecting parallel lines and must be identical angles, therefore

m = 60°

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The total amount of silver produced in the world in 2015 was 886.7 million ounces. What percent was produced by the United State
Ratling [72]
To get the percentage of the silver that US produced, we divide the amount that US produced by the total amount and multiply the quotient by 100%. Mathematically,
                                       = (35.4 million ounces / 886.7 million ounces) x 100%
                                        = 3.99%
So, US produced approximately 3.99% of silver in 2015. 
8 0
3 years ago
A light bulb consumes 3600 watts- hours per day. How many watt - hours does it consume in 5 days and 6 hours?
Serjik [45]

Answer:

13500/3600= 3 days and 3/4 of a day

5 0
2 years ago
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Mrs. Cousins works in a pool store and earns a 9.5% commission on every swimming pool she sells. How much commission would she e
stepan [7]

Answer:

$532

Step-by-step explanation:

19/200 * 5600/1

Cross cancellation makes this:

19/1 * 28/1

19 * 28

(19 * 20) + (19 * 8)

380 + 152

$532 in commission

6 0
3 years ago
What is the volume of the right prism with height h=14 cm, if the base of the prism is a triangle ∆ABC with side AB = 9 cm and a
Lina20 [59]
<u><em>Answer:</em></u>
volume of prism = 378 cm³

<u><em>Explanation:</em></u>
<u>The volume of the right prism can be calculated as follows:</u>
volume of prism = area of base * height of prism

<u>1- getting the area of base:</u>
Our base is a triangle, this means that:
area = 0.5 * base * height
We have:
base = 9 cm
height = 6 cm
Therefore:
area of base = 0.5 * 9 * 6
area of base = 27 cm²

<u>2- getting the volume:</u>
volume of prism = area of base * height of prism
volume of prism = 27 * 14
volume of prism = 378 cm³

Hope this helps :)
7 0
3 years ago
A triangle has two perpendicular sides that are the same length.
yan [13]

Answer:

A.

isosceles, right

Step-by-step explanation:

perpendicular lines means that they make 90° angle with each other and for a triangle to be isosceles it has to have 2 sides of equal length

8 0
2 years ago
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