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love history [14]
3 years ago
10

What postulate or theorem can be used to prove that these two triangles are congruent?

Mathematics
1 answer:
Diano4ka-milaya [45]3 years ago
8 0

Answer:

ASA

Step-by-step explanation:

in the place that I have put some marks on it, they have the same angle; so then they will also have the same third angle; and for the rest you should use ASA.

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Madeline received $300 for her birthday. She deposits it into a savings account with an interest rate of 2.45%. She makes monthl
oee [108]

Answer:

  b.  $1,587.57

Step-by-step explanation:

A financial calculator will tell you the value of Madeline's account after  8 years will be $16,287.57. In that time, she will have deposited ...

  $300 +96×150 = $14,700

The interest earned is the difference between her account balance and the amount she deposited:

  $16,287.57 -14,700 = $1,587.57 . . . interest earned

_____

<em>Account value calculation</em>

The future value of the initial $300 deposit after 8 years is ...

  A = P(1 +r/n)^(nt)

for principal P earning annual rate r compounded n times per year for t years.

  A = $300(1 +0.0245/12)^(12·8) ≈ $364.89

The future value of the sum of $150 deposits monthly (at the beginning of the month) will be ...

  A = $150((1+r/n)^(nt) -1)(1 +n/r) = $15,922.68

So, the total value of Madeline's account in 8 years is ...

  $364.89 +15,922.68 = $16,287.57

_____

<em>Comment on account value</em>

In problems of this nature, it is always necessary to determine when the deposits are made relative to when the account value is measured. Here, we assume the $300 deposit is immediate, and its value is measured 8 years hence.

The monthly deposits are not described in that detail. In order to get any of the numbers in the answer list, we need to assume the deposits are at the beginning of the month. If we assume they are at the end of the month, the amount of interest is reduced by about $33.18, the last month's interest.

7 0
3 years ago
It took Otis 6 hours to travel to the Grand Canyon. Along the way he took 18 minutes to get gasoline and 53 minutes to eat. How
Tpy6a [65]

The answer is 4 hours and 49 minutes HERE IS MY WORK

7 0
3 years ago
Read 2 more answers
after eating at the restaurant 3 people split the bill. Each person paid 27 dollars what was the total of the bill
almond37 [142]

Answer:

The total cost was 81 dollars.

Step-by-step explanation:

If each person had to pay 27 dollars and there was only 3 people, then multiply those 2 numbers together. Then you will get your answer.

7 0
3 years ago
What is 1349 in Roman numerals?
telo118 [61]
It's MCCCXLIX. I hope this helps ^-^
8 0
3 years ago
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Which of the following expressions could be used to estimate the difference between -12.34 and -4.8?
Sveta_85 [38]
-12+5

for -12.34,we take it as -12
for -4.8,we take it as -5

to measure the difference,here's what you need to do

-12-(-5)
=-12+5
thus the ans is -12+5

hope it helps
6 0
3 years ago
Read 2 more answers
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