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Hunter-Best [27]
3 years ago
14

What is length of segment QR? (Show all work)

Mathematics
1 answer:
matrenka [14]3 years ago
5 0

Answer:

x=15\ units

Step-by-step explanation:

we know that

The <u><em>Midpoint Theorem</em></u> states that the line segment joining the midpoints of any two sides of a triangle is parallel to the third side and equal to half of the third side

so

In this problem

Applying the Midpoint theorem we have that

x=\frac{30}{2}=15\ units

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I need help finding what the answers are in the empty spaces? Anyone willing to help me find them or tell me?
Readme [11.4K]

Answer:

1) He earns $288 a week

2) 270.20

3) 226.97

4) 215. 62

6) 967.68

Step-by-step explanation:

4 0
2 years ago
Alexander deposited money into his retirement account that is compounded annually at an interest rate of 7%.
anzhelika [568]
Tow rates are equivalent if tow initial investments over a the same time, produce the same final value using different interest rates.

For the annually rate we have that:
V_{0} =(1+ i_{a} ) ^{1}
Where
V_{0} = initial investment.
i_{a} = annually interest rate in decimal form.
And the exponent (1) represents the full year.

For the quarterly interest rate we have that:
V_{0} =(1+ i_{q} ) ^{4}
Where
V_{0} = initial investment.
i_{q} = quarterly interest rate in decimal form.
And the exponent (4) the 4 quarters in the full year.

Since the rates are equivalent if tow initial investments over a the same time, produce the same final value, then
(1+ i_{a} )=(1+ i_{q} ) ^{4}
Notice that we are not using the initial investment V_{0} since they are the same.

The first thin we are going to to calculate the equivalent quarterly rate of the 7% annually rate is converting 7% to decimal form
7%/100 = 0.07
Now, we can replace the value in our equation to get:
(1+0.07)=(1+ i_{q} ) ^{4}
1.07=(1+ i_{q} ) ^{4}
\sqrt[4]{1.07} =1+ i_{q}
 i_{q} = \sqrt[4]{1.07} -1
i_{q} =0.017
Finally, we multiply the quarterly interest rate in decimal form by 100% to get:
(0.017)(100%) = 1.7%
We can conclude that Alexander is wrong, the equivalent quarterly rate of an annually rate of 7% is 1.7% and not 2%.


6 0
3 years ago
Please please please help me show your work (10 points!!)
Shkiper50 [21]

Answer:

C or 8

Step-by-step explanation:

Once again, first you ant to simplify the equation before putting in the numbers.  So the simplified equation is mh + mp -p/h +m. Then you put the numbers in. mh is actually 3(-1), which is -3. mp is really 3*4, which is 12. p/h is 4/-1, which is -4, and then you add m. So when you put the numbers is it ends up as -3 + 12 - 4 +3, which simplified is 8, or C

8 0
3 years ago
Read 2 more answers
Correct answer gets brainliest or who ever answered first
timurjin [86]

Answer:

B

Step-by-step explanation:

6 0
3 years ago
Read 2 more answers
Let z = 5. What is the value of (10 + 25) ÷ z?
Murrr4er [49]

Answer:

<h2>A. 7</h2>

Step-by-step explanation:

Put z = 5 to the expression (10 + 25) ÷ z:

(10 + 25) ÷ 5 = 35 ÷ 5 = 7

5 0
3 years ago
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