Here is the required diagram .
Alternate angles are equal .
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Answer:
There are 6 dimes and 9 quarters.
Step-by-step explanation:
Represent the number of dimes and the number of quarters by d and q.
Then d + q = 15, or q = 15 - d.
Also, ($0.25)q + ($0.10)d = $2.85, or 5q + 2d = 57.
Substituding 15 - d for q, we get 5(15 - d) + 2d = 57, or
75 - 5d + 2d = 57, or
75 - 3d = 57, or
3d = 18. Thus, there are 6 dimes. Since q = 15 - d, q = 15 - 6 = 9.
There are 6 dimes and 9 quarters.
Option A
Elena need to ride around the loop four or more times
<em><u>Solution:</u></em>
Given that Elena plans to ride her bicycle 5 miles to a park and then ride several times around a loop in the park that is 3 miles long
Then she will ride the same way home
She wants to ride a total of at least 22 miles
<em><u>Given inequality is:</u></em>
3t + 10 > 22
Where "t" is the number of times Elena rides around the loop
<em><u>Solve fot "t" in given inequality</u></em>
3t + 10 > 22
Subtract 10 both sides
3t + 10 - 10 > 22 - 10
3t > 12
Divide by 3 both sides
t > 4
The solution is all real numbers greater than or equal to 4
Which means 4 or more times
Therefore, Option A is correct.
