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2 years ago

Find the value of x for which ABCD must be a parallelogram. 24 2 6 12

Mathematics

2 answers:

luda_lava [24]2 years ago

7 0

Answer:

Step-by-step explanation:

Intersection point of diagonals is the mid point of each diagonal.So,

2x+8=6x

6x-2x=8

4x=8

x=8/4

x=2

Lostsunrise [7]2 years ago

4 0

Answer: x = 2

Concept:

There are many properties for parallelograms, however, here, we need to focus on one property about diagonals.

Diagonals of a parallelogram bisect each other.

Solve:

Given information

One side of the diagonal = 6x

The other side of diagonal = 2x + 8

Given expression deducted from the property of parallelogram

One side = Other side

Substitute values into the expression

6x = 2x + 8

Subtract 2x on both sides

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

4x = 8

Divide 4 on both sides

4x / 4 = 8 / 4

$\boxed{x=2}$

Hope this helps!! :)

Please let me know if you have any questions

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Use the distributive property to remove the parentheses -2(4w-2v-1)

yawa3891 [41]

Answer: -8w+2v+2

Step-by-step explanation:

8 0

1 year ago

The number of typographical errors in a document follows a Poisson distribution with a mean of 3 errors per page. Let X represen

n200080 [17]

Answer:

probability of x is 0.22 correct to two decimal places

Step-by-step explanation:

step 1. use the poisson formula given as

p(x) = (λˣe∧-λ) ÷x! where λ is the mean and it called lambda,λ = 3, e is mathematical constant and it approximately = 2.7183, x is the chosen value which is equal to 2, Λ is raise to power, ! is factorial sign

p(x=2) =( 3² x 2.7183⁻³) ÷ 2! = 0.22

3 0

3 years ago

HELP ME!! im so stumped. will give brainliest!

Olegator [25]

Answer:

$x=1+\sqrt{3}$ and $x=1-\sqrt{3}$

Step-by-step explanation:

We have been given the parabola with vertex (1, -9) and y intercept at (0, -6).

Now we need to find the x-intercepts of that parabola. So first we begin by finding the equation of parabola using vertex formula:

$y=a\left(x-h\right)^2+k$

Vertex for this formula is given by (h,k)

Compare that with given vertex (1,-9), we get: h=1, k=-9

So plug these into vertex formula:

$y=a\left(x-1\right)^2-9$ ...(i)

Plug given point (0, -6). into (i)

$-6=a\left(0-1\right)^2-9$

$-6=a\left(-1\right)^2-9$

$-6=a\left(1\right)-9$

$-6+9=a$

$3=a$

Plug a=3 into (i)

$y=3\left(x-1\right)^2-9$

Now to find x-intercept, we just plug y=0 and solve for x

$y=3\left(x-1\right)^2-9$

$0=3\left(x-1\right)^2-9$

$9=3\left(x-1\right)^2$

$3=\left(x-1\right)^2$

$\pm \sqrt{3}=x-1$

$1+\pm \sqrt{3}=x$

Hence final answer are

$x=1+\sqrt{3}$ and $x=1-\sqrt{3}$

4 0

2 years ago

Hitman42 [59]

the answer is 4.5 ft

Step-by-step explanation:

Step-by-step explanation:

Given that the two fugures in the question above are similar, it means they have the same shape, even though they are if different sizes, the ratio of their corresponding sides are proportional. Thus,

18/x = 8/2

Let's solve for x as required.

We have,

18/x = 8/2

=>Cross multiply:

18 × 2 = 8 × x

36 = 8x

=>Divide both sides by 8

36/8 = x

4.5 = x

x = 4.5 ft

8 0

3 years ago

2x + 4 ≤ 10 Solve the inequality by showing work

babymother [125]

Answer: 3

Step-by-step explanation: just a regalar algebra equation but with a less than or equal sign

3 0

2 years ago

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