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3 years ago

Which of the following is the length of BC given that figure ABCD is a parallogram?

Mathematics

1 answer:

Hatshy [7]3 years ago

6 0

Since ABCD is parallelogram these rules apply:

$CD=AB$
$AD=BC$

Since $AD=BC$ this implies that $BC=12$

The answer is D.

Hope this helps.

r3t40

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Jeremy is packaging a stew containers.There are 8 3/4 cups of stew that need to put into 5 to go containers equally.How many cup

11111nata11111 [884]

Answer:

1 3/4 cups

Step-by-step explanation:

In order to be able to equally divide the stew into 5 containers we need to turn everything into the same format, in this case it would be by multiplying the whole number and the denominator and then adding the numerator like so

(8 * 4) + 3 = $\frac{35}{4}$

Now we can divide the numerator by 5 (container) in order to calculate how much stew each container will get.

$\frac{35}{4} / 5 = \frac{7}{4}$

So each container will get 7/4 of the Stew or 1 3/4 cups

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3 years ago

Read 2 more answers

What is g(5) for the sequence g={(6,3), (-4,2), (5,0)}

adelina 88 [10]

G(5) for the sequence g = {(6,3), (-4,2), (5,0)} is 0

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2 years ago

You want $5000 4 years from nowfor a down payment for a car. How much money must be deposited monetly into an account earning 4.

timama [110]

Answer:

$95.5090 must be deposited monthly

Step-by-step explanation:

From the information given:

The annual interest rate (r) = 4.2% = 0.042

Let assume that an amount Y is deposited, then after one month, it will increase to:

$Y ( 1+ \dfrac{0.042}{12})$

The total amount after 4 years will be:

$= Y ( 1+ \dfrac{0.042}{12})^{48}+Y ( 1+ \dfrac{0.042}{12})^{47} +Y ( 1+ \dfrac{0.042}{12})^{46} +...+ Y ( 1+ \dfrac{0.042}{12})$

$= Y ( 1.0035)^{48}+Y ( 1.0035)^{47} +Y( 1.0035)^{46} +...+ Y( 1.0035)$

Using the sum of a geometric progression:

$= Y (1.0035) \dfrac{ (1.0035^{48}-1)}{(1.0035-1)}$

$= Y (1.0035) \dfrac{ (1.0035^{48}-1)}{0.0035}$

The above amount is then equal to $5000

i.e

$= Y (1.0035) \dfrac{ (1.0035^{48}-1)}{0.0035} = 5000$

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3 years ago

3. There is no expiration date on the debit card. True False

svet-max [94.6K]

The answer to the question is
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2 years ago

Read 2 more answers

1. Solve proportion 12/15 = 18/b

omeli [17]

We solve the as follows:

1. Solve proportion 12/15 = 18/b
( 12/15 = 18/b ) b
( 12b/15 = 18 ) 15/12
b = 18(15/12)
b = 45/2

2. Solve equations

A. -x + 4 = x +6
-x + 4 - x = x +6 - x
-2x + 4 - 4 = 6 - 4
-2x = 2
x = -1

B. 5n + 7 =7(n+1) -2n
5n + 7 = 7n + 7 - 2n
5n -7n + 2n = 7 - 7
0 = 0

C. -4(p+2) + 8 = 2(p-1) - 7p + 15
-4p - 8 + 8 = 2p - 2 - 7p + 15
-4p + 7p - 2p = -2 + 15 + 8 - 8
p =13

3. Solve a/b x - c = 0 for x
a/b x - c = 0
( a/b x = c ) b/a
x = bc / a

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3 years ago