Find the value of x that makes the quadrilateral a parallelogram?

Find The Value Of X That Makes The Quadrilateral A Parallelogram?

Answers

Answer 1

Answer:

5

Step-by-step explanation:

since the sides of parallelogram are parallel

then 3X+3 = 4X-2 (they are equal because they are alternating angles )

3X+3 = 4X-2 subtract 3X from both sides

3 = X-2. add 2 to both sides

X= 5

Find The Value Of X That Makes The Quadrilateral A Parallelogram?
Answer 2

Answer:

x = 5

Step-by-step explanation:

As the diagonals of a parallelogram bisect each other (divide into two equal parts):

[tex]\implies 2x+1=x+6[/tex]

[tex]\implies 4x-2=3x+3[/tex]

Solve the first equation for x:

[tex]\implies 2x+1-1=x+6-1[/tex]

[tex]\implies 2x=x+5[/tex]

[tex]\implies 2x-x=x+5-x[/tex]

[tex]\implies x=5[/tex]

Solve the second equation for x:

[tex]\implies 4x-2+2=3x+3+2[/tex]

[tex]\implies 4x=3x+5[/tex]

[tex]\implies 4x-3x=3x+5-3x[/tex]

[tex]\implies x=5[/tex]

Therefore, the value of x that makes the quadrilateral a parallelogram is:

x = 5

Related Questions

list this from least to greatest -$25.18,$48.12,-$24.72,$47.72,-$24.12,$25.12

Answers

The listing of the given values from the least to the greatest = -$25.18, -$24.72, -$24.12, $25.12, $47.72 and $48.12.

What is a number line?

A number line is defined as the expression that represents the location of real numbers as being a positive number or a negative number.

The negative values which are the least in the number line are usually higher in value than the greater numbers, while the greater values are higher for positive numbers.

Therefore,the arrangement of the given values from least to the greatest = -$25.18, -$24.72, -$24.12, $25.12, $47.72 and $48.12.

Learn more about number line here:

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no links please
please quick!

Answers

Answer:

25%

Step-by-step explanation:

3/12 kids read over 9.5 hours

3 x 4 is 12

from percents, 25, 50, 75, 100

so it would be 25%

What transformation maps triangle XYZ onto triangle X'Y'Z'?

Answers

Answer:

a translation of 4 in y direction.

hope it helps.

stay safe healthy and happy.

WILL MARK BRAINLIEST!

To the nearest tenth, the perimeter of the rhombus is ___ units long.

Answers

Answer:

28.84 units

Step-by-step explanation:

using Pythagorean's Theorem, and halving both 8 and 12, we can find the length of the hypotenuse of on of the triangles. Once we find that length. we multiply it by 4 to complete the total perimeter.

Prime numbers are the _______ _______of all numbers

Answers

The numbers which have only two factors either 1 and the number itself are called prime numbers.

What is prime numbers?

Prime number is a natural number greater than 1 that is not a product of two smaller natural numbers while a natural number greater than 1 that is not prime is called a composite number

Therefore a prime number is a whole number greater than 1 whose only factors are 1 and itself. A factor is a whole number that can be divided evenly into another number. The first few prime numbers are 2, 3, 5, 7, 11, 13, 17, 19, 23 and 29

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Answers

Answer:

24

Step-by-step explanation:

6 times 4 = 24

Answer:

24in^2.

Step-by-step explanation:

Multiply the length times the width. 4*6=24.

In parallelogram ABCD, the measure of angle B is 107°.
(a) What is the measure of d
(b) What is the measure of a

Answers

D= 107
A= 73
here you go

A rectangular piece of card is x cm long and y cm wide
Another rectangular tile is 4 cm shorter and 2 cm wider than the
What is the difference in perimeter between the two tiles?

Answers

When one rectangular tile is 4 cm shorter and 2 cm broader than another rectangular tile, the difference in their perimeters is 2.

what is rectangle ?

4 sides, 4 corners, and 4 right angles make up the 2D shape of a rectangle. A rectangle's diagonal sides are equal in length, with one pair being longer than the other. A rectangle would be referred to as a square if all of its sides were the same size.

given

Allowing for a rectangular card that is x cm long and y cm broad

The perimeter of another rectangular tile is 2 cm broader and 4 cm shorter.

L+B = L+B -2 = 2(L + B)

= 2(L-4 + B+2) = 2(L + B)

= L+B = L+B -2

Therefore, when one rectangular tile is 4 cm shorter and 2 cm broader than another rectangular tile, the difference in their perimeters is 2.

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For the system of equations shown, tell whether it would take fewer steps to solve by substitution or elimination. Then use that strategy to solve the system. Explain your reasoning.
-3x - 4y = 15
9x + 7y = 25

Answers

Answer:

Step-by-step explanation:

Step: Solve−3x−4y=15for x:

−3x−4y=15

−3x−4y+4y=15+4y(Add 4y to both sides)

−3x=4y+15

−3x

−3

=

4y+15

−3

(Divide both sides by -3)

x=

−4

3

y−5

Determine if the following is true: if sin^2x cos^2x=1, then sinx+cosx=1

Answers

Answer:

true

Step-by-step explanation:

Help plz:)))I’ll mark u Brainliest

Answers

Answer:

The high of cylinder is 47 m. or inch.. cuz if you make angles and sides of fraction it may multiple by 30 so it would be 47..

Step-by-step explanation:

HOPE IT HELPS!!

A television set cost $350 cash when bought on hire purchase a deposit of $35 is required followed by 12 monthly payments of $30 how much is saved by paying cash​

Answers

Answer:

www.imsorryineedpoints.orgStep-by-step explanation:

Whats the sum of p 3/4

Answers

The sum oh p 3/4 should be 3.333

Henrie plays baseball. He hits 80% of the time he bats. If he is up to bat 20 times this weekend at his baseball tournament, how many times is he expected to hit

Answers

Answer:16

Step-by-step explanation: If henry hits 80% of pitches, then the easiest way is to make 80% of 10, which is half of 20, is 8. So if it is 20 times he is up to bat, then 8*2, 2*8 is 16, so he hits the ball 16 times.


Find the distance between the two points rounding to the nearest tenth (if necessary
(-8,0) and (1,7)

Answers

9514 1404 393

Answer:

  11.4

Step-by-step explanation:

Put the given coordinates in the distance formula and do the arithmetic.

  d = √((x2 -x1)² +(y2 -y1)²)

  d = √((1 -(-8))² +(7 -0)²) = √(9² +7²) = √130

  d ≈ 11.4 . . . . units

The distance between the two points is about 11.4 units.

is 11^2 x 5^4 a factor of 11^3 x 5^4

Answers

No, 11^2 x 5^4 is not a factor of 11^3 x 5^4.

To see this, you can divide 11^3 x 5^4 by 11^2 x 5^4 and see that there is a remainder.

11^3 x 5^4 = (11 x 11 x 11) x (5 x 5 x 5 x 5)

= 121 x 625

= 75125

11^2 x 5^4 = (11 x 11) x (5 x 5 x 5 x 5)

= 121 x 625

= 75125

75125 / 75125 = 1 with a remainder of 0.

Therefore, 11^2 x 5^4 is not a factor of 11^3 x 5^4.

write the first five terms of the sequence.. NO LINKS!!!​

Answers

Answer:

5,50,500,5000,50000

Step-by-step explanation:

The first term is given

a1 =5

The second term is when n=2

a2 = 10 * a1 = 10 * 5 = 50

The third term is when n=3

a3 = 10 * a2 = 10 * 50 = 500

The fourth term is when n=4

a4 = 10 * a3 = 10 * 500 = 5000

The fifth term is when n=5

a5 = 10 * a4 = 10 * 5000 = 50000

Which of the following numbers is the slope of the line tangent to the curve y=x2+5x at x=3?

Answers

Y-f(a)=f’(a)(x-a)
Y-24=11(x-3)

The radius of a cylinder is 3 cm and the height is 6
Find the volume.
O 9611
O 5411
0 2511

Answers

Answer:

Volume = πr²h

= π x 3² x 6

= 54π

Option B

Please help me! If you get it right, I will give you Brainlist!​

Answers

Answer:

720m^2

Step-by-step explanation:

Answer your answer is B

Please answer correctly for brainliest

Answers

Answer:

oki! mizuki here to answer and help!

The answer will be 19/10 or 1 9/10

Step-by-step explanation:

Soo... let's simplify 1 2/5 first.

The simplified version of 1 2/5 is 7/5.

and we solve the equation!

since there are two negatives, turn it into a plus!

7/5 + 1/2

5 x 2 = 10      2 x 5 = 10

7 x 2 = 14       1 x 5 = 5

so...

14/10 + 5/10 which will be 19/10, or 1 9/10

The question should be find the answer, not the difference ngl.

Use the integers that are closest to the number in the middle.√38

Answers

Answer:

6 < √38 < 7

Step-by-step explanation:

6 squared is 36, which is right under 38 and 7 squared is 49, meaning 7 is the first number right above it. This means that:

√36 < √38 < √49

6 < √38 < 7

Please help with homework

Solve

2(x+4)=3(-2+x)

Answers

Answer:

x = 14

Step-by-step explanation:

2(x + 4) = 3( -2 + x)  distribute the 2 and the 3.

2(x) + 2(4) = 3(-2) + 3(x)

2x + 8 = -6 + 3x  Subtract 2x from both sides

2x - 2x + 8 = -6 +3x -2x

8 = -6 +x  Add 6 to both sides

8 + 6 = 6 - 6 + x

14 = x

A psychologist is interested in the mean IQ score of a given group of children. It is known that the IQ scores of the group have a standard deviation of 10. The psychologist randomly selects 100 children from this group and finds that their mean IQ score is 100. Based on this sample, find a 99% confidence interval for the true mean IQ score for all children of this group. Then give its lower limit and upper limit. Carry your intermediate computations to at least three decimal places. Round your answers to one decimal place. (If necessary, consult a list of formulas.)

Answers

Answer:

The 99% confidence interval for the true mean IQ score for all children of this group is (97.4, 102.6). The lower limit is 97.4 and the upper limit is 102.6.

Step-by-step explanation:

We have that to find our [tex]\alpha[/tex] level, that is the subtraction of 1 by the confidence interval divided by 2. So:

[tex]\alpha = \frac{1 - 0.99}{2} = 0.005[/tex]

Now, we have to find z in the Ztable as such z has a pvalue of [tex]1 - \alpha[/tex].

That is z with a pvalue of [tex]1 - 0.005 = 0.995[/tex], so Z = 2.575.

Now, find the margin of error M as such

[tex]M = z\frac{\sigma}{\sqrt{n}}[/tex]

In which [tex]\sigma[/tex] is the standard deviation of the population and n is the size of the sample.

[tex]M = 2.575\frac{10}{\sqrt{100}} = 2.575[/tex]

Rounding to one decimal place, the margin of error is 2.6.

The lower end of the interval is the sample mean subtracted by M. So it is 100 - 2.6 = 97.4.

The upper end of the interval is the sample mean added to M. So it is 100 + 2.6 = 102.6.

The 99% confidence interval for the true mean IQ score for all children of this group is (97.4, 102.6). The lower limit is 97.4 and the upper limit is 102.6.

what is 1+2+3+4+...+1000?

Answers

Answer:

[tex]S_{1000}=500500[/tex]

Step-by-step explanation:

[tex]\displaystyle S_n=\frac{n(a_1+a_n)}{2}=\frac{1000(1+1000)}{2}=500*1001=500500[/tex]

Suppose that three microchips in a production run of thirty are defective. A sample of five is to be selected to be checked for defects. (a) How many different samples of five can be chosen from the production run of thirty? 142506 Correct: Your answer is correct. (b) How many samples will contain at least one defective chip? The set of samples that do not contain any defective chips and the set of samples that contain at least one defective chip are disjoint Correct: Your answer is correct. sets. So, the number of samples with at least one defective chip is . (c) What is the probability (as a percent) that a randomly chosen sample of five contains at least one defective chip? (Round your answer to one decimal place.) %

Answers

Answer:

a) 142506

b) 61776

c) 0.4333

Step-by-step explanation:

Given

Three microchips in a production run of thirty are defective

The probability of having a defective microchips is 3/30 = 0.1

Probability of having a good microchip is 0.9

a) Possible ways of selecting five sample =  

30C5

30*29*28*27*26*25!/25! *5! = 17100720/120 = 142506

b) With one defective microchip  

Total sample – sample without any defective microchip  

142506 – 37C5

142506 – 80730

61776

c) Probability = 61776/142506 = 0.4333

is 50 tens x 4 hundreds =40 tens x 5 hundreds true or false

Answers

Answer:

True, 50 tens times hundreds equal 40 tens times 5 hundreds

Step-by-step explanation:

50 tens times 4 hundreds equals to 40 ten times 5

hundreds because if you multiply 50 by 4 hundreds

you'll get 20,000 and if you multiply 40 tens by

hundred it will still give you 20,000

Therefore:

50 × 400 = 40 × 500

20,000 = 20,000

Help me with this question please! NO FILES!

Answers

Answer:

56

Step-by-step explanation:

Answer:

54 gallons of 26 percent green dye and then 54 gallons of 16 percent green dye

Step-by-step explanation:

Please solve this problem and I’ll give brainliest

Answers

Answer:

I am pretty sure that the answer is d

Step-by-step explanation:

Lorraine prepared a 2.5-gallon pot filled with tomatoes to be canned in jars. Each jar will hold 1.25 quarts of tomatoes. If 1 gallon equals 4 quarts, how many jars can Lorraine fill?

4 jars
5 jars
8 jars
10 jars

Answers

Answer:

  (c)  8 jars

Step-by-step explanation:

You want to know the number of 1.25 quart jars that can be filled from a 2.5 gallon container.

Jars

The number of jars can be found from ...

  (2.5 gal) × (4 qt/gal) × (1 jar)/(1.25 qt) = (2.5·4/1.25) jars = 8 jars

Lorraine can fill 8 jars from the 2.5 gallon pot.

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