Answer:
By the time she achieves her 26 mile goal Andrea will have run 176 miles.
Step-by-step explanation:
Since Andrea runs 4 miles every day, but she wants to increase her distance in order to run a 26 mile marathon and she decides to add 2 miles each day to her distance until she achieves her goal, to determine, if she starts with 6 miles today, how many miles will she have run in total, by the time she achieves her 26 mile goal the following calculation should be performed:
6 + 8 + 10 + 12 + 14 + 16 + 18 + 20 + 22 + 24 + 26 = X
14 + 22 + 30 + 38 + 46 + 26 = X
36 + 68 + 72 = X
36 + 140 = X
176 = X
So, by the time she achieves her 26 mile goal Andrea will have run 176 miles.
Answer:The measure of angle 6 is 20. The measure of angle 5 is 70. Angles 2 and 5 are complementary. Angles 1 and 4 are supplementary.
Step-by-step explanation:
Answer:
D. There are no constitutional requirements for becoming a federal judge.
Step-by-step explanation:
Answer: 90%
Step-by-step explanation: To write a fraction as a percent, first remember that a percent is a ratio of a number to 100.
So to write 9/10 as a percent, we need to find a fraction
equivalent to 9/10 that has a 100 in the denominator.
We can do this by setting up a proportion.
So we have
.
Now, we can use cross-products to find the missing value.
So we have (9)(100) which is 900 <em>is equal</em> to (10)(n) or 10n.
So we have 900 = 10n.
Next, dividing both sides of the equation by 10, we have <em>90 = n</em>.
So, 9/10 is equal to 90/100 or 90%.
Answer:

Step-by-step explanation:
Using the distributive property to expand, we have

Squaring each term, we have

The mistake was that
not
Using the fact that
the right answer would be
.