I'll focus on problem 19 and problem 22
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Problem 19
Answers:
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Explanation:
The horizontal lines are parallel. Note the arrow markers along the interior portion of the lines. These similar markers tell us how the lines pair up to be parallel to one another.
Since the horizontal lines are parallel, this means the angles in question are congruent. They are corresponding angles.
x+15 = 102
x = 102-15
x = 87
Which leads to
x+15 = 87+15 = 102
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Problem 22
Answer: y = 27
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Explanation:
We have a pair of alternate exterior angles. They are congruent due to the parallel lines.
Let's solve for y.
7y-55 = 3y+53
7y - 3y = 53+55
4y = 108
y = 108/4
y = 27
suppose the following is true
Answer: 48x/64
Work (assuming ^ is multiplication):
12x^4/4x^16
12x ^ 4x = 48x
4 ^ 16 = 64
This means that the number is positive.
The absolute value is the distance away from 0 the number is.
So 1's absolute value would be 1, yet -5's absolute value would be 5.
So the number that's equal to its absolute value is positive, and the one that's not is negative.
So if you subtract 2 from the positive number, it must turn negative.
So 1 is a number that satisfies these conditions.
Answer:(c)
Step-by-step explanation:
Given
The initial value of Adam's model is 
the value increases exponentially with the rate of 
Time period 
Final amount 
Exponential growth is given by
Putting values
Option (c) is correct
