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.39
c.107
d.149

2.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 cm
b. 5cm x 12cm
c. 6cm x 11 cm
d. 7cm x 10cm

3. which of the following statements is true about isosceles trapezoids?

a. the median is parallel to the
bases
b. the diagonals are congruent
c. both a and b
d. Neither a nor b

Question

Answered

Sagot :

Imfeyfey7viz Imfeyfey7viz · Answer 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