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
Answer:
New price of the ball after discount = $16.65
Step-by-step explanation:
Selling price of the soccer ball = $45
Discount labeled on the ball = 63% off
Therefore, selling price after the discount = Original selling price - %discount
= $45 - (63% of $45)
= $45 - $28.35
= $16.65
New price of the ball after discount = $16.65
Answer:
-45x^11
Step-by-step explanation:
-5x^6 * 9x^5
Multiply -5x and 9x together:
-45x
Remember when multiplying powers, you add them together, which leaves you with:
-45x^11