The number of calories per ounce of soda is 10
<h3>Part A: Represent the relationship between the number of calories and the number of ounces</h3>
The given parameters are:
Calories = 50
Ounces = 5
Let the number of calories be y and the ounces be x.
So, we have:
y = kx
Substitute y = 50 and x = 5
50 = 5k
Divide by 5
k = 10
Substitute k = 10 in y = kx
y = 10x
See attachment for the graph of the relationship between the number of calories and the number of ounces
<h3>Part B: What is the number of calories per ounce of soda?</h3>
In (a), we have:
k = 10
This means that the number of calories per ounce of soda is 10
<h3>Part C: How does the unit rate relate to the slope of the line in the graph above? </h3>
The unit rate and the slope represent the same and they have the same value
Read more about linear graphs at:
brainly.com/question/4025726
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Answer:
The answer to your question is below
Step-by-step explanation:
1) Alternate interior angles measure the same
10x - 10° = 100°
10x = 100° + 10°
10x = 110°
x = 110° / 10°
x = 11°
2) Alternate exterior angles measure the same
x + 99° = 90°
x = 90° - 99°
x = -9°
3) Supplementary angles measure 180°
(6x + 12) + (14x + 8) = 180°
6x + 12 + 14x + 8 = 180°
20x + 20 = 180
20x = 180 - 20
20x = 160
x = 160 / 20
x = 8
4) Alternate exterior angles measure the same
26x + 1 = 131°
26x = 131° - 1°
26x = 130°
x = 130° / 26°
x = 5
5) Consecutive interior angles measure 180°
x + 100 + 85° = 180°
x + 185 = 180
x = 180 - 185
x = -5
6) Corresponding angles measure the same
7x - 7 = 70
7x = 70 + 7
7x = 77
x = 77 / 7
x = 11
7) Supplementary angles measure 180°
(12x + 8) + (100°) = 180°
12x + 8 + 100 = 180
12x + 108 = 180
12x = 180 - 108
12x = 72
x = 72 / 12
x = 6
8) Consecutive interior angles measure 180°
18x + 8x - 2 = 180°
26x = 180 + 2
26x = 182
x = 182 / 26
x = 7
9) Corresponding angles measure the same
27x + 7 = 28x + 3
27x - 28x = 3 - 7
-1x = -4
x = -4/-1
x = 4
10) Consecutive interior angles measure 180°
(x + 107) + (x + 87) = 180
x + 107 + x + 87 = 180
2x + 194 = 180
2x = 180 - 194
2x = -14
x = -14 / 2
x = -7
Answer:
Can't be determined.
Step-by-step explanation:
From the fact that the quadrilaterals are similar:
Corresponding sides are in proportion and
Corresponding angles are congruent.
We can't create a proportion, so there's nothing else that we can determine.
