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Firlakuza [10]
3 years ago
9

Find the value for a.

Mathematics
1 answer:
Airida [17]3 years ago
6 0

Answer:

a = 25

Step-by-step explanation:

The exterior angles of a polygon sum to 360°

Sum the exterior angles and equate to 360

a + a + 40 + 51 + 55 + 54 + 2a + 60 = 360, that is

4a + 260 = 360 ( subtract 260 from both sides )

4a = 100 ( divide both sides by 4 )

a = 25

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An old truck has a fuel efficiency rating of 12 mpg. What is the cost
andrew-mc [135]

Answer:

The cost of 5 gallons of fuel would be 5x assuming the cost of 1 gallon to be x.

Step-by-step explanation:

An old truck has a fuel efficiency rating of 12 mpg.

We have to find the cost of gasoline that will be used up after we drive 60 miles.

To drive 60 miles , it uses 5 gallons.

let the cost of 1 gallon of fuel be x.

We have to find the cost of 5 gallons of fuel.

So the cost of 5 gallons of fuel = 5\times coat of 1 gallon of fuel

                                                      = 5x

5 0
3 years ago
What is the size of the triangle angles?
zlopas [31]
That triangle would be right triangle. :) :)

HAPPY TO HELP
7 0
3 years ago
Which of these cannot represent the lengths of the sides of a right triangle?
Sholpan [36]
<h3>Answer: Choice D. 8m, 9m, 10m</h3>

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

Explanation:

If a = 8 and b = 9 are the two legs of a triangle and c = 10 is the hypotenuse, then

a^2 + b^2 = c^2

8^2 + 9^2 = 10^2

64 + 81 = 100

145 = 100

We get a false equation as 145 and 100 are two different values. So the original equation is false when (a,b,c) = (8,9,10)

By the converse of the pythagorean theorem, we have proven that this particular triangle is not a right triangle

-------------

Contrast this with something like choice A where we have a = 3, b = 4, c = 5 leading to

a^2 + b^2 = c^2

3^2 + 4^2 = 5^2

9 + 16 = 25

25 = 25

we get a true equation so a triangle with sides 3,4,5 is a right triangle. Choices B and C follow a similar path.

4 0
3 years ago
Read 2 more answers
X - 5 (x-1) = x - (2x - 3)
True [87]

Answer:

x=  2/3 = 0.667

Step-by-step explanation:

4 0
3 years ago
Read 2 more answers
I need help please show work.
mart [117]

Answer:

The midpoint of the segment is (6,5)

Step-by-step explanation:

To find the midpoint of a segment we use the formula

midpoint = (x1+x2)/2, (y1+y2)/2

              = (10+2)/2 , (7+3)/2

              = 12/2, 10/2

                =6,5

The midpoint of the segment is (6,5)

7 0
3 years ago
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