Mathematics
03.09.2021 07:12
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Help pls Marcia earns 5 reward points for each movie she sees at the local movie

Help pls Marcia earns 5 reward points for each movie she sees at the local movie theater. What is the linear equation that describe this situation? Does this equation represent a proportional relationship? Yes or no, and why?
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interndon
interndon
5,0(23 marks)

y=x+5

Step-by-step explanation:

This is a proportional relationship because each time she sees a movie, her score increases by the same number and it's a linear equation.

daylanhampton
daylanhampton
4,4(14 marks)
Hello!

We know that the sum of all angles in a triangle is 180 degrees. This can be represented by the following formula:

(angle 1) + (angle 2) + (angle 3) = 180

Insert all known values and variables of triangle ABC into the formula above:

30 + (80 + y) + y = 180

Simplify and combine like terms:

30 + 80 + y + y = 180
110 + 2y = 180

Now subtract 110 from both sides of the equation:

2y = 70

Divide both sides by 2:

y = 35

We have now proven that Y is equal to 35 degrees. Using the known value of Y, we can find the value of X using the same formula as above. Begin by inserting all known values and variables of triangle BCD:

y + y + x = 180
(35) + (35) + x = 180

Combine like terms:

70 + x = 180

Subtract 70 from both sides of the equation:

x = 110

We have now proven that X is equal to 110 degrees. Therefore, considering the known values of X and Y, the answer to this problem is C.

I hope this helps!

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