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3 years ago

ABCD is a parallelogram. Segment AC = 4x + 10. Find the value of x and y.

Mathematics

1 answer:

valkas [14]3 years ago

5 0

Answer:

The values of x and y in the diagonals of the parallelogram are x=0 and y=5

Step-by-step explanation:

Given that ABCD is a parallelogram

And segment AC=4x+10

From the figure we have the diagonals AC=3x+y and BD=2x+y

By the property of parallelogram the diagonals are congruent

∴ we can equate the diagonals AC=BD

That is 3x+y=2x+y

3x+y-(2x+y)=2x+y-(2x+y)

3x+y-2x-y=2x+y-2x-y

x+0=0 ( by adding the like terms )

∴ x=0

Given that segment AC=4x+10

Substitute x=0 we have AC=4(0)+10

=0+10

=10

∴ AC=10

Now (3x+y)+(2x+y)=10

5x+2y=10

Substitute x=0, 5(0)+2y=10

2y=10

$y=\frac{10}{2}$

∴ y=5

∴ the values of x and y are x=0 and y=5

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Does this figure have symmetry?

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orlando is renting a tuxedo for the school formal. he has narrowed his choices down by deciding to wear either navy blue or blac

vodomira [7]

The answer is 8 choices.

To calculate this, a multiplication rule is used. The multiplication rule calculates the probability that both of two events will occur. In this method, the possibilities of each event are multiplied.

We have three events occurring together:

1. Orlando has 2 options: to wear either navy blue or black.

2. Orlando has 2 options: to wear a coat with short or long tail.

3. Orlando has 2 options: to wear a solid or striped cummerbund.

Using the multiplication rule, the number of choices is multiplied, thus he has in total 8 options:

2 · 2 · 2 = 8

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What is the distance between points R(5,7) and

drek231 [11]

Answer:

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3 years ago

Solve the equation when x=12 1/3 Please show your work 7x+8(x+1/4)=3(6x-9)-8

alina1380 [7]

7(12 1/3) + 8(12 1/3 + 1/4) = 3(6(12 1/3) - 9) - 8

12 1/3 = 12.33
1/4 = 0.25

7(12.33) + 8(12.33 + 0.25) = 3(6(12.33) - 9) - 8
86.31 + 8(12.58) = 3(73.98 - 9) - 8
86.31 + 100.64 = 3(64.98) - 8
186.95 = 186.94 - 8
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False. The x, when 12 1/3 does not work inside this equation

hope this helps

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3 years ago

Urgent help, please!.....

pishuonlain [190]

To solve this problem, we want to get all of the possible options into the same form, so that it is easier to compare them. Personally, I prefer comparing in decimals, so that is how I am going to solve this problem.

13/4 - To turn this improper fraction into its decimal equivalent, it is easier to first turn it into a mixed number by dividing the numerator by the denominator.

13/4 = 3 1/4

Because we know that 1/4 = 0.25, we now know that 3 1/4 = 3.25

Therefore, 13/4 = 3.25

3 1/2 - This is similar to the end of the process above. We know that 1/2 = 0.5, so we know that 3 1/2 = 3.5

3 1/2 = 3.5

3.15 is already in its decimal form, so we can leave that be for now.

√9 - To simplify this, we must figure out what number multiplied by itself equals 9. If we start with 2 (2*2 = 4), so that is too small. Next maybe we try 4 (4 * 4 = 16), so that is too large. Now we know we need a number in between 2 and 4, so maybe we try 3. 3 * 3 = 9, so we can conclude that √9 = 3.

√9 =3

If we take all of our decimal equivalents, we have 3.25, 3.5, 3.15, and 3.

Because all of these values have the same whole number value of 3, we need to compare the decimals to find out what order they belong in.

Our final order is (from smallest to largest): 3, 3.15, 3.25, 3.5

But, we need to substitute in the equivalent values we were given for these decimals originally to finish the problem.

This makes your final answer: √9, 3.15, 13/4, 3 1/2

Hope this helps!

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