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natima [27]
2 years ago
11

Please Help!! If answer, please answer them all, thank you!!

Mathematics
1 answer:
Sergio [31]2 years ago
8 0

9514 1404 393

Answer:

  (b) angle FOA

  (c) angle EOA

  (d) angle AOH

Step-by-step explanation:

(b) The rays of vertical angles are opposites that form intersecting lines.

The opposite of ray OG is OF. The opposite of ray OB is OA, so the vertical angle to GOB is angle FOA.

__

(c) The opposite of ray OB is OA, so the supplement to angle EOB is angle EOA.

__

(d) Similarly, the supplement to angle BOH is angle AOH.

_____

<em>Comment on supplementary angles</em>

Angles that form a linear pair are supplementary. Angles do not have to form a linear pair to be supplementary. They merely have to have a sum of 180°. Here, the supplementary angles of interest do form a linear pair, so finding the other angle of the pair means only finding the other point that names the line being formed by the pair.

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Georgie put $500 in her savings account, earning interest at a rate of 4% each year. She did not make any more deposits or withd
zysi [14]

Answer:

a) $520

b) $580

c) Interest amount is same each year

Step-by-step explanation:

Given - Georgie put $500 in her savings account, earning interest at a rate of 4% each year. She did not make any more deposits or withdrawals.

To find - a) How much money was in the account after one year?

              b) How much money was in the account after 4 years?

              c) Was the amount of money earned in interest the same or different each year?

Proof -

Here given that,

Principal amount = $500

rate of interest = 4% = 4/100 = 0.04

Now,

a)

Amount =  P [ 1 + RT ]

             = 500 [ 1 + 0.04(1)]

             = 500 [ 1 + 0.04] = 520

⇒Amount = $520

b)

Amount =  P [ 1 + RT ]

             = 500 [ 1 + 0.04(4)]

             = 500 [ 1 + 0.16] = 580

⇒Amount = $580

c)

In 2nd year,

Amount =  P [ 1 + RT ]

             = 500 [ 1 + 0.04(2)]

             = 500 [ 1 + 0.08] = 540

⇒Amount = $540

Now,

Interest in 1st year = 520 - 500 = 20

Interest in 2nd year = 540 - 520 = 20

So,

The interest amount  is same each year

3 0
3 years ago
A group of students and workers entering a metro station were asked whether they were riding the bus or the subway. the two-way
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The addition of the row and column shows that the number of people polled will be 166.

<h3>How to calculate the number?</h3>

From the information given, the guest thing to do is to add the column. This will be:

= 48 + 118 = 166

Also, it's important to add the row. This will be:

= 69 + 97 = 166

Therefore, the number of people polled will be 166.

Learn more about column on:

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3 0
2 years ago
Help me please ASAP.........
likoan [24]

Answer:

last one is correct

Step-by-step explanation:

4 0
3 years ago
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Average of 766 and 878
Greeley [361]
(766+878)÷2=1644÷2=822
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3 years ago
16. Which of the following measures can be determined for quantitative data?
Delvig [45]

Answer: D all of the above

Step-by-step explanation:

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