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Lisa [10]
3 years ago
6

12.

Mathematics
1 answer:
Kruka [31]3 years ago
6 0

Answer:

i believe that 20 would be the best choice

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1. What is the value of x? Show your work to justify your answer.
Reil [10]

Answer:

x=72 and the exterior angle is 154

Step-by-step explanation:

We will call the unknown angle in the triangle y.  Angle y and the angle (2x +10) form a straight line so they make 180 degrees.

y + 2x+10 =180

Solve for y by subtracting 2x+10 from each side.

y + 2x+10 - (2x+10) =180 - (2x+10)

y = 180-2x-10

y = 170-2x


The three angles of a triangle add to 180 degrees

x+ y+ 82 = 180

x+ (170-2x)+82 = 180

Combine like terms

-x +252=180

Subtract 252 from each side

-x+252-252 = 180-252

-x = -72

Multiply each side by -1

-1*-x = -72*-1

x=72

The exterior angle is 2x+10.  Substitute x=72 into the equation.

2(72)+10

144+10

154


8 0
3 years ago
In one city, taxi company A charges $5 plus $0.35/km travelled. Taxi company B charges $3.50 plus $0.50/km.
lions [1.4K]

Answer:

If you are asking for the equations, Company A would be 0.35x + 5 and Company B would be 0.50x + 3.50. :)

Step-by-step explanation:

3 0
3 years ago
Using the numbers 5, 8, and 24, create a problem using no more than four operations (addition, subtraction, multiplication, divi
Oxana [17]

Answer:

There could be many answers to this problem, one being the √(24 x 5 - 8)

Step-by-step explanation:

Irrational numbers are classified as real numbers that are non-terminating and non-repeating decimals.  This means that the number will be a decimal that never ends and does not contain a pattern of any kind.  For example, a decimal that never ends is usually written as: 5.6789234...  This type of number is irrational because the decimal keeps going and shows no pattern of repetition. In the answer given, the value of (24 x 5 -8) is 112.  The square root of 112 is not a perfect square and thus you will get a non-terminating and non-repeated decimal as the final answer, thus making it irrational.

3 0
3 years ago
A prism is completely filled with 80 cubes that have edge length of 12cm What is the volume of the prism?
krek1111 [17]
<h3>Answer:  138,240 cubic cm</h3>

Explanation:

If x is the side length of a cube, then x^3 is the volume. Think of it like length*width*height, but length = width = height.

It's no coincidence that the cubing operation or cubed exponent ties directly to the concept of things like volumes in cubic cm.

In this case, x = 12 cm is the side length of each small cube. The volume of each small cube is x^3 = 12^3 = 12*12*12 = 1728 cubic cm.

Eighty such small cubes get us a total volume of 80*1728 = 138,240 cubic cm.

4 0
2 years ago
To rent a jet ski the Delta Water company charges a flat fee of $25 plus $7.50 per hour. If you rented a jet ski for a day of fu
Aleksandr [31]
You were using it for 6 hours because 70-25 is 45 and if you divide 7.50 and hour and 45 it’s 6
5 0
3 years ago
Read 2 more answers
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