<h3>
Answer: m = 25</h3>
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Work Shown:
Triangle ABC is congruent to triangle DEF. The order of the lettering is important because it tells us how the angles pair up. We see that angle B and angle E are the second letters of ABC and DEF respectively. Because the triangles are congruent, this leads to angle B = angle E.
Angle B is shown to be 20 degrees, so,
angle E = angle B
2(m-15) = 20
m-15 = 20/2
m-15 = 10
m = 10+15
m = 25
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A slightly alternative way to solve:
2(m-15) = 20
2m-30 = 20
2m = 20+30
2m = 50
m = 50/2
m = 25
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Checking the answer:
2(m-15) = 20
2(25-15) = 20
2(10) = 20
20 = 20
We get the same thing on both sides, so we end up with a true equation. This means the first equation is true when m = 25. The solution has been confirmed.
I would say its 400 grams because one kilogram is about 1,000 grams. And one gram is about the same weight of a paperclip, Unless you have a really big jar of peanut butter, i say 400 grams.
Comment
There are 12 months in a year. He plans on visiting 8 times each month.
Step One
Find the number of visits per year.
<em>Givens</em>
Number of visits per month = 8
Number of months per year = 12
Visits = # visits / month * number of months
Visitis = 8 * 12
Visits = 96 visits in total.
Step Two
<em>Calculate the cost / visit</em>
Total Cost = 414 visits.
Total Visits = 96
Cost / Visit = Total Cost / Total visits.
Cost / Visit = 414 / 96
Cost / Visit = 4.31 roughly.
Answer:
I would assume you meant 3t + 9 ≥ 15.
The answer to that is: (∞,2)
:)
