Anonymous

# NEED HELP ON MATH??? 10 points maxxx?

here are the four problems I need help with!

Best answers will recieve 10 points :)

http://imagesharing.com/storage/090418256111216.PN...

Relevance

Hi,

1) Parallelogram ACFD

Angle C = 46° (opposite angle of a parallelogram are congruent)

Angle F = 180° - <C = 180° - 46° = 134° Between parallel lines, same-side interior angles are supplementary.

Angle <CBE = 46° (In an isosceles trapezoid both angles along the same base are congruent. <CBE is congruent to <C.)

Angle <FEB = 134° (In an isosceles trapezoid both angles along the same base are congruent. <FEB is congruent to <F.)

2) door-stop trapezoids

a² + b² = c²

a² + 24² = 26²

a² + 576 = 676

a² = 100

a = 10, so the height and half the top side of the trapezoid are both 10.

So the entire upper base of the trapezoid is 20. <==ANSWER

3) Diagonals of an isosceles trapezoid are congruent.

4x² = 8x + 5

4x² - 8x - 5 = 0

(2x - 5)(2x + 1) = 0

x = 5/2 or x = -1/2

x can be either 5/2 or -1/2 because both work in the equation. <==ANSWER

4) Kite Perimeter

a² + b² = c²

8² + 8² = c²

64 + 64 = c²

128 = c²

8√2 = c <=top 2 diagonals

a² + b² = c²

8² + 15² = c²

64 + 225 = c²

289 = c²

17 = c <=top 2 diagonals

Perimeter = 8√2 + 8√2 + 17 + 17 = 16√2 + 34 <==ANSWER

This is approximately 56.627

I hope that helps!! :-)