1. the diagonals of an isosceles trapezoid are represented by 5 x - 47 and 2x + 34. what is the value of x?a. 27.b.39c.107d.1492.the perimeter of a parallelogram is 34 cm . if a diagonal is 1 cm less than its length and 8 cm more than its width, what are the dimensions of this parallelograms?a. 4cm x 13 cmb. 5cm x 12cmc. 6cm x 11 cmd. 7cm x 10cm3. which of the following statements is true about isosceles trapezoids?a. the median is parallel to thebasesb. the diagonals are congruentc. both a and bd. Neither a nor b
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Subject:
Math -
Author:
bridgerholder -
Created:
1 year ago
Answers 1
Answer:
1. 5x - 47 = 2x + 34
3x = 81
x = 27
A. 27
2. A=LW = 1/2 d1d2 sin angle
assume angle : ex. 48 deg
LW = 1/2 d1d2 sin 48
if d = L - 1 and d = W + 8
then : LW = 1/2 (L - 1)(W + 8) sin 48
(2LW)/sin48 = LW + 8L - W - 8
if 34 = 2(L + W)
then 17 = L + W
W = 17 - L
Substitution :
2.69 L(17 - L) = L(17 - L) + 8L - W - 8
45.73L - 2.69L² = -L² + 26L - 25
1.69L² - 19.73L - 25 = 0
by quadratic formula
L = 12. 83 or 13
W = 17 - 13 = 4
A. 4cm × 13cm
3. C. both a and b
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Author:
freddennis
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