Anonymous
Anonymous asked in Science & MathematicsMathematics · 1 decade ago

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...

1 Answer

Relevance
  • 1 decade ago
    Favorite Answer

    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!! :-)

Still have questions? Get your answers by asking now.