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il63 [147K]
1 year ago
15

13. Three friends equally share 12 of a pizza. How much of the pizza does each friend get?

Mathematics
1 answer:
ahrayia [7]1 year ago
5 0
4 slices of pizza. You get this by dividing the total amount of slices but the amount of people.
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In a triangle, the sum of the measures of the first two angles is 12 less than the measure of the third angle. In addition, the
PSYCHO15rus [73]

the sum of the internal angles of a triangle are equal to 180 degrees.

once i remembered that the problem became a lot easier.

let a, b, and c be the angles of the triangle.

-----

let a = 2*b

-----

let c = a+b-12

-----

the above two statements are given.

since the sum of the internal angles of a triangle are equal to 180, then we have a third equation to work with which is

-----

a + b + c = 180

-----

we now have 3 equations for 3 unknowns and we should be able to solve for each of the unknowns.

-----

it looks like the easiest thing is to solve for b. once we find b, the rest should fall into place very nicely.

-----

since a = 2*b, we can substitute 2*b for a in the equation a + b + c = 180.

that equation then becomes 2*b + b + c = 180 which becomes 3*b + c = 180.

looking at the equation c = a + b - 12, we solve for b as follows:

since we know that a = 2 * b, we can substitute 2*b for a and the equation becomes c = 2*b + b - 12 which becomes c = 3*b - 12.

-----

the equation we are working with is 3*b + c = 180 which originally started as a + b + c = 180.

we can substitute 3*b - 12 for c and the equation becomes

3*b + 3*b - 12 = 180 which becomes 6*b = 192 after adding 12 to both sides and combining like terms.

dividing both sides of the equation by 6 and we get b = 32 degrees.

-----

we have b = 32 degrees.

we have a = 2 * b so a = 64 degrees.

we have c = a + b - 12 which becomes c = 32 + 64 - 12 which becomes c = 96 - 12 which becomes c = 84 degrees.

-----

substituting in the equation a + b + c = 180, we get 32 + 64 + 84 = 180 which becomes 96 + 84 = 180 which becomes 180 = 180.

-----

answer is:

a

4 0
3 years ago
Answer as a fraction. do not include space in your answer.<br> 4 2/3 + 7/9
kvv77 [185]

Answer:

Step-by-step explanation:

4 2/3 = 14/3 x 3/3 = 42/9. 42/9 + 7/9 = 49/9. 49/9 = 5 4/9

42/9

3 0
2 years ago
Question 13: please help. I will give brainliest to correct answer.
Arada [10]

Answer:

Option 4

Step-by-step explanation:

Trying the first 2 pairs and confirm  the Last Option

y=5*2^x

5 0
3 years ago
NEED HELP MARK CROWN ASAP
m_a_m_a [10]

Answer:

The answer is <em><u>0.48</u></em>!

5 0
3 years ago
What is the solution to the system of equations?
kaheart [24]
Substitution would be a great approach to solving this system, because the first equation defines y as x - 10 and you can thus substitute x - 10 for y in the second equation:

2x + (x - 10) = 4

Then 3x - 10 = 4, and 3x = 14.  Solving for x:  x = 14/3.

Since y = x-10, subst. 14/3 for x to find y:  y = 14/3 - 30/3 = -16/3

The solution is (14/3, -16/3).
6 0
3 years ago
Read 2 more answers
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