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2 years ago

Help Please! Find the value of x for which ABCD must be a parallelogram.

Mathematics

1 answer:

Pepsi [2]2 years ago

4 0

Answer:

Step-by-step explanation:

We know that the opposite sides of a parallelogram are equal so:

25x+1=7x+37

18x=36

x=2

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The National Safe Kids Campaign and Bell Sports sponsored a study that surveyed 8,159 children ages 5 to 14 who were riding bicy

Nuetrik [128]

8159 divided by five times two then, divide that by twenty and multiply by 13, The answer is about 2611 kids wore helmets properly while riding bike

8 0

3 years ago

Javon spent %687 on pokemon cards. Energy cards cost $6 and dragon cards cost $5. If he bought a total of 127 packs then how man

pshichka [43]

Answer:

Javon purchase Energy cards = 52

Javon purchase Dragon cards = 75

Step-by-step explanation:

Given - Javon spent $687 on pokemon cards. Energy cards cost $6

and dragon cards cost $5.

To find - If he bought a total of 127 packs then how many of each did he buy ?

Proof -

Let Javon purchase Energy cards = x

Javon purchase Dragon cards = y

Now,

Given that he bought a total of 127 packs

⇒x + y = 127

Also,

Cost for 1 Energy card = $6

⇒Cost of x Energy cards = $ 6x

And

Cost of 1 Dragon card = $5

⇒Cost of y Dragon card = $ 5y

Now,

Given that Javon spent $687 on pokemon cards.

⇒6x + 5y = 687

∴ we get

x + y = 127 ..................(1)

6x + 5y = 687 .................(2)

Multiply by 6 in equation (1) , we get

6(x + y) = 6(127)

⇒6x + 6y = 762 .................(3)

Now,

Subtract equation (2) from equation (1) , we get

6x + 6y - (6x + 5y )= 762 - 687

⇒6x + 6y - 6x - 5y = 75

⇒y = 75

Now,

Put the value of y in equation (1), we get

x + 75 = 127

⇒x = 127 - 75

⇒x = 52

∴ we get

Javon purchase Energy cards = x = 52

Javon purchase Dragon cards = y = 75

3 0

3 years ago

Please help me with 5 though 10

Monica [59]

Answer:

5.) 352

6.) 125000

7.) 7000

8.) 3900160

9.) 1 pound and 8 ounces

10.) 333.333

Step-by-step explanation:

5 0

3 years ago

Read 2 more answers

Factor to the given polynomial completely. 4x³+24x²-288x

STatiana [176]

Answer: $\Large\boxed{4x(x+12)(x-6)}$

Step-by-step explanation:

Given expression

4x³ + 24x² - 288x

Factorize 4x out from the expression

4x · x² + 4x · 6x - 4x · 72

4x (x² + 6x - 72)

Cross multiply to factorize the remaining polynomial expression

The meaning is to allow the factored product of the constant to add up to the first-degree term

x 12

x -6

Combine the result

$\Large\boxed{4x(x+12)(x-6)}$

Hope this helps!! :)

Please let me know if you have any questions

3 0

1 year ago

Read 2 more answers

A particular type of mold is growing 9.7% per hour. Assuming that mold growth continues at this rate and there were 14,000 spore

nydimaria [60]

Total mold spores at end of 9.30 am is 26901.

Step-by-step explanation:

Number of molds = 14000

Rate = 9.7% per hour

Number of hours = 12 am to 9.30 am = 9 $\frac{1}{2}$ hours

Growth of mold = 14000 * 9.7% * 9 $\frac{1}{2}$

= 12901

Total mold spores at end of 9.30 am = 14000 + 12901

= 26901

Hence, the expected number of mold spores at 9.30 am is 26901.

7 0

3 years ago