Help me please!! I dont understand.

A) x = 7

B) mWX = 135

C) mYW =  214º

D) mYX = 79

E) mVXW = 304º

Step-by-step explanation:

A circle is 360º and a right angle is 90º. If we take 90º from 360º we know all of the missing sides add up to equal 270º.

So if we combine the terms of all the equations given, you should have an equation of 39x - 3 = 270.

To keep the equation balanced but also get x by itself you're going to add 3 to both sides to get 39x = 273.

Then you're going to divide both sides by 39 to get x = 7

Now all you do is plug in your new x (7) to all of the equations.

mVW (8(7)) = 56

mWX (21(7) - 12) = 135

mYX (10(7) + 9) = 79

To find mYW we're going to add 135º from mWX and 79º from mYX. This is going to give us 214º for mYW.

For mVXW all we're going to do is simply subtract mVW, which was 56º, from 360º to get 304º

the smallest possible measurement of the width is 14 feet

step-by-step explanation:

let's assume length of parallelogram is 'l'

width of parallelogram is 'w'

the perimeter of a parallelogram must be no less than 40 feet

so, we get

we are given

length of parallelogram is 6 feet

so,

l=6

we can plug it

now, we can solve for w

subtract both sides by 12

divide both sides by 2

and we get

so,

the smallest possible measurement of the width is 14 feet

x = ±sqrt(10)

step-by-step explanation:

5 - 2x² = -15

subtract 5 from each side

5-5 - 2x² = -15-5

-2x^2   = -20

divide by -2 on each side

-2x^2   /-2= -20/-2

x^2 =10

take the square root on each side

sqrt(x^2 )=±sqrt(10)

x = ±sqrt(10)

check:

5 - 2x² = -15

+sqrt(10)

5 - 2(sqrt(10))² = -15

5 -2(10) = -15

5 -20 = -15

-15 = -15

-sqrt(10)

5 - 2(-sqrt(10))² = -15

5 -2(10) = -15

5 -20 = -15

-15 = -15