All categories

3 years ago

If BE = 2x + 2, BD = 5x – 3, and AE = 4x – 6, what are the values of x and AC?

Mathematics

1 answer:

Keith_Richards [23]3 years ago

3 0

Answer: x=7 and AC = 44 unuts.

Step-by-step explanation:

We know that the diagonals of a parallelogram bisect each other. (i)

Here in parallelogram ABCD , AC and Bd are diagonals intersecting at E.

BE = 2x + 2, BD = 5x – 3, and AE = 4x – 6

Using (i)

$BE=\dfrac{BD}{2}\\\\2x+2=\dfrac{5x-3}{2}\\\\ 2(2x+2)=5x-3\\\\ 4x+4= 5x-3\\\\ 5x-4x=4+3\\\\ x= 7$

Now , AE = 4(7)-6 = 28-6 = 22

AC =2 AE = 2 (22) =44 units.

Hence, x=7 and AC = 44 unuts.

You might be interested in

A company has two manufacturing plants with daily production levels of 5x+14 items and 3x−7 items, respectively. The first plan

Anastasy [175]

Answer:

3x+24 more widgets

Step-by-step explanation:

A company owns two manufacturing plants:

1st plant: 8x+17 widgets;2nd plant: 5x-7 widgets.

To find how many more items the first plant produces daily than the second plant, we have to subtract from the number of widgets the first plant produces the second plant produces. So,

(8x+17)-(5x-7)\\ \\=8x+17-5x+7\ [\text{Eliminate brackets}]\\ \\=(8x-5x)+(17+7)\ [\text{Combine the like terms}]\\ \\=3x+24

hope this helps!

Step-by-step explanation:

4 0

3 years ago

I need more help with algebra please.

Triss [41]

Equation: 5x² - 3x - 14

= 5x² - 10x + 7x - 14

= 5x(x - 2) 7(x - 2)

= (5x + 7)(x - 2)

In short, Your Answer would be: Option B

Hope this helps!

6 0

3 years ago

Read 2 more answers

0.40 - 2.55 5 please answer this

andrew-mc [135]

Answer:

-2.15

Step-by-step explanation: I was kind of confused on what you asked. If you were asking for 0.4-2.55, then that is the answer above.

7 0

3 years ago

Use the Distributive Property to find the Product 4 and 2/5 × 10

arlik [135]

Distributive Property ( A number, n, is multiplied to the expression in parentheses)

$4( \frac{2}{5} \times 10) = \\ 4( \frac{20}{5} ) = \\ 4(4) = 16$

5 0

3 years ago

At the end of her work day, Rosa leaves her office and goes directly to her bank. On the graph that shows the locations of Rosa'

ikadub [295]

Find the distance between the point of bank and the point of office.

$\sqrt{(x2 - x1)^{2}+ (y2 - y1)^{2}}$
$\sqrt{(-4 - (-6)^2 + (4 - (-3)^2}$
$\sqrt{(2)^2 + (7)^2}$
$\sqrt{4 + 49}$
$\sqrt{53}$

The distance she travels is approximately 7.3 km.

Hope this helps :)

7 0

3 years ago