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Viefleur [7K]
3 years ago
7

perimetrul unui paralelogram este de 30 cm.una dintre laturi are lungimea de 6 metri . dterminati lungimile celolrarte laturi

Mathematics
1 answer:
zzz [600]3 years ago
8 0

To solve this problem you must apply the proccedure shown below:

1. By definition, the opposite sides of a parallelogram are parallel and have equal length.

2. The figure attached shows that the opposite sides with equal length are:

a=c\\b=d

3. Keeping this on mind, you have that the side <em>c</em> and <em>a</em> are equal and measure six centimeters.

4. To find the length of the other sides, you must apply the following formula for calculate the perimeter of a parallelogram:

P=2(a+b)

4. If you solve for <em>b</em>, you will obtain the measure of <em>b </em>and<em> d:</em>

30cm=2(6cm+b)\\30cm=12cm+2b\\b=9cm

Therefore the answer is:

 The lengths of the sides are: 6 cm, 6 cm, 9 cm and 9 cm.

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Solve for q. –10 + 10q = 9q
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Answer:

q= 10

Step-by-step explanation:

9q - 10q = -10

-q = -10

q= -10/-1 = 10

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Which of the following are corresponding angles ?
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3 years ago
Samantha divides $16,000 into three investments: a savings account 3 points paying 7% annual interest, a bond paying 9%, and a m
kipiarov [429]

Answer:

2000 was the amount of the investment in the savings account

6000 was the amount of the investment in the payment of bonds

8000 was the amount of the investment in the money market

Step-by-step explanation:

In this case, a system of equations must be generated with the information given in the statement.

Let x be the amount of the investment in the savings account

Let y be the amount of the investment in the payment of bonds

Let z be the amount of investment in the money market

Now, the first equation would be that of total investment:

x + y + z = 16000

The second equation is that of interest:

0.07 * x + 0.09 * y + 0.12 * z = 1640

Last, her equation has invested three times more in the bond payment than in the savings account:

3 * x = y

So we have 3 equation with 3 unknowns. Therefore there is a solution.

x + y + z = 16000

0.07 * x + 0.09 * y + 0.12 * z = 1640

3 * x = y

In order not to make the answer too extensive, we will solve the system of equations with the help of symbolab, here is the step-by-step of everything they do in a very detailed and precise way.

https://es.symbolab.com/solver/step-by-step/x%20%2B%20y%20%2B%20z%20%3D%2016000%3B%200.07%20%5Ccdot%20x%20%2B%200.09%20%5Ccdot%20y%20%2B%200.12%20%5Ccdot%20z%20%3D%201640%3B%203%20%5Ccdot%20x%20%3D%20y

From this, the results are as follows:

x = 2000

y = 6000

z = 8000

Thus

2000 was the amount of the investment in the savings account

6000 was the amount of the investment in the payment of bonds

8000 was the amount of the investment in the money market

7 0
3 years ago
H=L^2/f•c solve for L
nata0808 [166]

Answer:

±sqrt( H *f•c)= L

Step-by-step explanation:

H=L^2/f•c

Multiply each side by fc

H *fc=L^2/f•c  * fc

H *f•c=L^2

Take the square root of each side

±sqrt( H *f•c)= sqrt(L^2)

±sqrt( H *f•c)= L

4 0
3 years ago
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