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amandasantiago2001
15.04.2020 •
Mathematics
Find the overall change compared to the original amount: Your $1000 investment earned 5% interest.
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Ответ:
the overall change is $50
Step-by-step explanation:
percentage increase=change/original amount ×100
5=change/1000×100
5=100×change/1000
by cross multiplication
5000=100×change
dividing both sides by 100
5000/100=change
50=change
change=$50
Ответ:
∠ACB 107°
Step-by-step explanation:
1.) First, by using straight angle theorem we can determine that ∠CED is equal to 180 - 147 which is 33°.
2.) Next, using alternate interior angles theorem we know that ∠CDE = ∠ABC which is 40°
3.) Then, because of the angle sum theorem we know that all the angles of the triangle must add to 180° and we can therefore solve for ∠DCE using the equation 33 + 40 + x = 180 where x is ∠DCE. By solving this we get 107°.
4.) Finally, using vertical angles theorem we know that ∠DCE = ∠ACB and so ∠ACB is 107°