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
Basically we want to know how many times 5/8 goes into 5 1/4.
5 1/4 ÷ 5/8 = 21/4 ÷ 5/8 = 21/4 × 8/5 = 42/5 = 8.4 bags
Since we cannot have a fraction of a bag, he can fill 8 bags completely.
answer: 8 bags
Answer:
According to my calculations, 1.6 goes into 10.8 a total of 6 times with a remainder of 1.1999999999999993. If you continue the long division beyond the decimal point, the result would be 6.75.
Step-by-step explanation:
Answer:
9.7303888 miles
Step-by-step explanation:
Given the following :
Set target = 12 miles per week.
Miles ran on Monday = 4 3/4 miles
Miles ran on Wednesday = 3 1/3 miles
Miles ran on Friday = 1 11/17 miles
Number of miles covered for the week:
(miles covered on Monday + miles covered on Wednesday + miles covered on Friday)
= (4 3/4 + 3 1/3 + 1 11/17) miles
= (19/4 + 10/3 + 28/17) miles
= (4.75 + 3.33333 + 1.6470588) miles
= 9.7303888 miles
