Help please i need it asap

∠ZVW= 45

∠ZWV = 31

x=1

Step-by-step explanation:

Properties of a Parallelogram ( including diagonals )

Diagonals of a parallelogram bisect each other.

The diagonals are cut into two equal parts

Opposite angles are congruent

Given this information we need to find x, ∠ZVW and ∠ ZWV

First lets find x

Like stated previously diagonals cut each other into two equal parts

That being said segment WZ ≅ segment ZY

Knowing this we create an equation

2z-1=1

step 1 add 1 to each side

-1 + 1 cancels out

1 + 1 = 2

now we have 2x = 2

step 2 divide each side by 2

2x/2=x

2/2=1

we're left with x = 1

Now lets find ∠ZVW

∠ZVW and ∠ZXY happen to be opposite angles ( opposite angles are congruent )

This means that because ∠ZXY = 45 ∠ZVW also = 45

Now lets find ∠ZWV

∠ZWV and ∠XYZ happen to be opposite angles ( like stated previously, opposite angles are congruent)

So because ∠XYZ = 31 ∠ZWV also = 31

180

step-by-step explanation:

-3

step-by-step explanation:

a drawing really does here:

so i draw the horizontal line y=2 and the vertical line x=-2 at this intersection i put b (this is where my right angle is going to be).   so point b is at (-2,2).   point a is 5 units long and is also on y=2 so this point has to be (3,2) or (-7,2) -doesn't matter i will go with (3,2).

now we know c is at (-2,y) we don't know the y yet bet we know that c is on x=-2.

we have the area of the triangle is .5bh=12.5

we know the base length is 5 (ab)

we have the height is (2-y) if you look at your

plug in

.5(5)(2-y)=12.5

solve for y to get the y-coordinate for c

2.5(2-y)=12.5

divide both sides by 2.5 giving:

2-y=5

now subtract 2 on both sides

-y=3

y=-3