Yahoo Answers: Answers and Comments for NEED HELP ON MATH??? 10 points maxxx? [Mathematics]
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From Anonymous
enUS
Sat, 18 Apr 2009 16:07:04 +0000
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Yahoo Answers: Answers and Comments for NEED HELP ON MATH??? 10 points maxxx? [Mathematics]
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https://answers.yahoo.com/question/index?qid=20090418160704AAq6mg7
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From Pi R Squared: Hi,
1) Parallelogram ACFD
Angle C = 46° (o...
https://answers.yahoo.com/question/index?qid=20090418160704AAq6mg7
https://answers.yahoo.com/question/index?qid=20090418160704AAq6mg7
Sat, 18 Apr 2009 18:32:53 +0000
Hi,
1) Parallelogram ACFD
Angle C = 46° (opposite angle of a parallelogram are congruent)
Angle F = 180°  <C = 180°  46° = 134° Between parallel lines, sameside 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) doorstop 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!! :)