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Thus each angle has a measure of 108° degrees.
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Answer:
Step-by-step explanation:
No, it doesn’t have a positive slope because the negative sign in front 2 means that the slope is negative and going down. If the slope would’ve been positive than there wouldn’t have been a negative sign and it would go up.
Answer:
1). a = 9.42 m
2). b = 6.37 m
3). c = 4.48 m
Step-by-step explanation:
In the figure attached,
By applying tangent rule in triangle ADE,
tan47 = 
c = 
c = 
c = 4.476
c ≈ 4.48 m
Now we apply the same rule in triangle ACE,
tan37° = 
b = 
b = 
b = 6.37 m
Now apply the tangent in triangle ABE,
tan27° = 
a = 
a = 
a = 9.42 m
The mass of the apple juice needed to increase the initial concentration to 25% is 45 kg
The given parameters;
- <em>Mass of the apple juice, m = 30 kg</em>
- <em>current percentage, = 10%</em>
- <em>final percent after increment = 25%</em>
Let the mass added to increase the percentage to 30% = x
10% ----------------- 30 kg
25% ------------------ ?

The additional mass is calculated as;

Thus, the mass of the apple juice needed to increase the initial concentration to 25% is 45 kg.
Learn more about percentage and ratio here: brainly.com/question/11752721
The number of kids in your group is 12.
Step-by-step explanation:
Given,
Number of people = 20
Cost of each kid ticket = $4
Cost of each adult ticket = $6
Total spent = $96
Let,
x be the number of kids ticket
y be the number of adult ticket
According to given statement;
x+y=20 Eqn 1
4x+6y=96 Eqn 2
Multiplying Eqn 1 by 4

Subtracting Eqn 3 from Eqn 2

Dividing both sides by 2

Putting y=8 in Eqn 1

The number of kids in your group is 12.
Keywords: linear equation, elimination method
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