Given be = 2x + 6 and ed = 5x - 12 in parallelogram abcd, find bd.

Given the statement: BE = 2x + 6 units and ED = 5x - 12 units.

By properties of parallelogram:

The parallelogram bisects each other at E.

You can see the diagram of parallelogram as shown below.

Therefore;

                       .....[1]

Substitute the given values we have;

Add 12 both sides we get;

Subtract 2x from both sides we have;

Divide 3 both sides we get;

x = 6.

BE = 2x+6 = 2(6)+6 = 12 +6 = 18 units

We have to find the value of BD:

BD = BE+ED

from [1] we have;

Therefore, the value of BD is, 36 units.

wholesale price is the initial price before markup. retail price comes after the markup.

a price of 8 bucks that's marked up by 100%   is

formula: initial price + (percent markup in fraction/decimal)(initial price)

8+(1)(8)

8+8

16

retail price is $16.

x= -3 and

step-by-step explanation:

to find the roots of a cubic, use division or factoring to find the factors then set equal to 0. as this is a difference of cubes, it factors into

where a is the cube root of .

here   this is 27 and the cube root of 27 is 3. so we write using the form:

.

set each factor to 0 and solve for x.

x-3=0

x=3

the quadratic expression does not factor and must be solved using the quadratic formula.

where a = 1, b=3, and c=9

this cubic has two complex roots.