Answer:
m∠1 = 99°
Step-by-step explanation:
∠2 and ∠81° are Corresponding Angles, so they are equal to each other:
∠2 = 81°
∠1 and ∠2 are Supplementary Angles, so they add up to 180°:
180 - m∠2 = m∠1
180 - 81 = 99°
Answer: B) 4 & 1/6
Nice work on getting the correct answer.
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Explanation:
x is opposite the marked acute angle
5 is opposite the corresponding acute angle
So x and 5 are proportional to each other. We can form the ratio x/5
Similarly, 10 and 12 are proportional to one another. We can form the ratio 10/12.
Set those ratios equal to each other and solve for x
x/5 = 10/12
12x = 5*10 ... cross multiply
12x = 50
x = 50/12 ...... divide both sides by 12
x = (25*2)/(6*2)
x = 25/6
x = (24+1)/6
x = 24/6 + 1/6
x = 4 + 1/6
x = 4 & 1/6 which shows why <u>choice B</u> is the answer.
Side note: 25/6 = 4.167 approximately
Final amount = $5357.52
Formula to be used,
Final amount =
Here, n = number of compounding in a year
t = Duration of investment
Now we substitute the given values in the question.
=
= 1210(4.4277)
= $5357.52
9 cars
A car holds 4 people
For 34 people :
34 ÷ 4 = 8 1/2
We canmot put 8 1/2 cars so it's 9. There will just be 2 extra seats.
“We need to accept that we won’t always make the right decisions, that we’ll mess up royally sometimes – understanding that failure is not the opposite of success, it’s part of success.” – Arianna Huffington