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mr Goodwill [35]
3 years ago
15

2. Find the midpoint of the segment with endpoints (1,4), (3,6)

Mathematics
1 answer:
I am Lyosha [343]3 years ago
5 0

Answer:

2,5

Step-by-step explanation:

(1+3)/2, (4+6)/2

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Find the measures of the complementary angles that satisfy each case. One of the angles is 3 times larger than the other.
Nookie1986 [14]

Answer:

22.5° and 67.5°

Step-by-step explanation:

The sum of complementary angles equal 90°.

Given that one of the complementary angles is 3 times larger than the other, let "x" represent the other angle.

Thus, the following expression can be written to represent this case:

x + 3x = 90

Solve for x

4x = 90

Divide both sides by 4

\frac{4x}{4} = \frac{90}{4}

x = 22.5

The measure of the complementary angles are:

x = 22.5°

3x = 3(22.5) = 67.5°

6 0
3 years ago
80 percent = 8,000<br> what is the answer
Rainbow [258]

Answer:

10,000

Step-by-step explanation:

simple math in my opinion

3 0
3 years ago
Kasey has three pieces of wood that measure 9 inches, 12 inches, and 21 inches. Can she make a right triangle
Harrizon [31]

Answer: No

Step-by-step explanation:

Add 2 sides together. If the sum of greater than the length of the 3rd side for all 3 options it can form a right triangle if it doesn’t than it can’t:

9 + 12 = 21 which is not greater than the 3rd side length of 21 so this cannot form a right triangle.

3 0
3 years ago
Read 2 more answers
Justin deposited $2,000 into an account 5 years ago. Simple interest was paid on the account. He has just withdrawn $2,876. What
sdas [7]

Answer: 8.76\%

Step-by-step explanation:

The formula to find the final amount after getting simple interest :

A=P(1+rt), where P is the principal amount , r is rate of interest ( in decimal )and t is time(years).

Given : Justin deposited $2,000 into an account 5 years ago.

i.e. P = $2,000 and  t= 5 years

He has just withdrawn $2,876.

i.e. we assume that A = $2876

Now, Put all the values in the formula , we get

(2876)=(2000)(1+r(5))\\\\\Rightarrow\ 1+5r=\dfrac{2876}{2000}\\\\\Rightarrow\ 1+5r=1.438\\\\\Righhtarrow\ 5r=0.438\\\\\Rightarrow\ r=\dfrac{0.438}{5}=0.0876

In percent, r=0.0876\times100=8.76\%

hence, He earned 8.76\% of interest on account.

6 0
3 years ago
An investment broker puts 1/12 of his paycheck into a retirement account every quarter? How much of his $84,000 salary is put in
Deffense [45]

Answer:

<u>$7000</u> of his salary is put into his account each quarter.

Step-by-step explanation:

Given:

An investment broker puts 1/12 of his paycheck into a retirement account every quarter.

His salary is $84,000.

Now, to find the amount of his salary put into his account each quarter.

So,to get the amount of his salary:

\frac{1}{12}\ of\ \$84,000.

=\frac{1}{12} \times 84000

=\frac{84000}{12}

=\$7000.

Therefore, $7000 of his salary is put into his account each quarter.

3 0
3 years ago
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