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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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solmaris [256]

Answer: 10 yards

Step-by-step explanation:

Covert 30 feet into yards to find how many yards he should buy.

$\frac{30}{3} = \frac{x}{1}$ Solve by cross product

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3 years ago

Factorise 2-y(7-5y) please

hjlf

Answer:
(y - 1)(5y - 2)

Solution:

Factor:
2 - y(7 - 5y)

Apply the Distributive Property:
2 - 7y + 5y²

Reorder the expression:
5y² - 7y + 2

Rewrite the term:
5y² - 5y - 2y + 2

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(5y² - 5y) + ( -2y + 2)

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2 years ago

A map is drawn with a scale of 1/2 inch equal to 5 actual miles.if the map distance between two cities is 8 inch's,what is the r

Sunny_sXe [5.5K]

Answer:

The real distance would be 16

Step-by-step explanation:

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7 0

2 years ago

Read 2 more answers

Does anyone understand?

Sholpan [36]

so, Buttons Etc. sells buttons at $50 + 1.10 for each button, and Logos sells buttons fro $40 + 1.10 for each button.

let's say that "b" is the amount of buttons Crusader Pep Club is going to buy.

let's take a look at a few buttons prices for Buttons Etc.

1 button.................. 50 + 1.10(1)

2 buttons............... 50 + 1.10(2)

3 buttons............... 50 + 1.10(2)

4 buttons............... 50 + 1.10(4)

5 buttons............... 50 + 1.10(5)

b buttons............... 50 + 1.10(b)

let's take a look at the prices at Logos

1 button.................. 40 + 1.10(1)

2 buttons............... 40 + 1.10(2)

3 buttons............... 40 + 1.10(2)

4 buttons............... 40 + 1.10(4)

5 buttons............... 40 + 1.10(5)

b buttons............... 40 + 1.10(b)

when both companies are the same price, the price equation for Buttons Etc equals the price equation for Logos, namely 50+1.10b = 40 + 1.10b.

when does that occur? At how many buttons?

50+1.10b = 40 + 1.10b

10 ≠ 0

from the system of equations, we end up with 10 = 0, which is not true of course 10 ≠ 0, which is another way to say there's no solution to the system, namely, the equations' graphs never touch each other.

if you recall the slope-intercept form, notice, both have the same slope, so the lines are parallel, and the y-intercept differs, so they never touch each other.

so, since there's no solution, the companies Buttons Etc and Logos sales of buttons will never yield the same price, the prices will always differ for the same amount of buttons sold.

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