jugoslav

The distance between the points (x, 21) and (4, -7) is 20√2. Find the sum of all possible values of x.

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sqrt[(20√2)² - (21 + 7)²] = 4

x can be either 0 or 8

So, the sum of all possible values of x = 8

Your answer is incorrect!!!

Pyramid height    h = 6 inches

Pyramid base     B = 1/2(6*6) = 18 sq inches

Pyramid volume      V = 1/3(B*h)               

V = 1/3(18*6) = 36 cubic inches

A graphed quadrilateral is NOT a rectangle!!!       It's a parallelogram!!!

That parallelogram is inscribed in a rectangle that has an area of 132 sq units.

A = 132 - (64 + 12)

A = 56 sq units

Area of ΔDEF = 1/8(AB * AC)

3 / 4 = 4 / a 

a = 16 / 3

a = 5 ¹/₃

We will find y first:

y / 21 = (10 + y) / 36

y = 14

Using the angle bisector theorem we have:

DE / DG = x / x + 6

DG * x = DE (x + 6)

36x = 24(x + 6)

36x = 24x + 144

x = 12

EG = x + (x + 6) = 84

9 / 12 = 15 / x

9x = 12 * 15

x = 20

If angle C = 10º then arc BE = 20º

Arc ED = 360 - (20 + 250) = 90º

30º = 1/2(CD - 90º)       arc CD = 150º

Arc BC = 360 - (20 + 90 + 150) = 100º

V = 2700 cubic inches