Aquadrilateral has vertices a(4, 9), b(2, 5), c(8, 2), and d(10, 6). which statement about the quadrilateral is true?
(a) abcd is a parallelogram with non-perpendicular adjacent sides.
(b) abcd is a trapezoid with only one pair of parallel sides.
(c) abcd is a rectangle with noncongruent adjacent sides.
(d) abcd is a square.
(e) abcd is a rhombus with non-perpendicular adjacent sides.

(C) ABCD is a rectangle with noncongruent adjacent sides.

Step-by-step explanation:

Here , A(4, 9), B(2, 5), C(8, 2), and D(10, 6),

Thus, by the distance formula,

Similarly,

,

,

Hence, for the quadrilateral,

AB = CD and BC = DA ---------(1)

Now, the slope of AB

the slope of BC

Slope of AB × Slope of BC = 2 × -1/2 = -1

⇒ Sides AB and BC are perpendicular to each other ----- (2)

Now, the slope of CD

the slope of DA

Slope of CD × Slope of DA = 2 × -1/2 = -1

⇒ Sides CD and DA are perpendicular to each other ----- (3)

Hence, from equations (1), (2) and (3),

The quadrilateral ABCD is a rectangle with non congruent adjacent sides.

8

step-by-step explanation:

to find the amount of gift bags to use all the supplies, find the gcf or greatest common factor. this is the largest number which multiplies evenly into each term.

48 has factors: 1, 2, 3, 4, 6, 8, 12. 16, 24, 48

80 has factors: 1, 2, 4, 5, 8, 10, 16, 20, 40, 80

64 has factors: 1, 2, 4, 8, 8, 16, 32, 64

the highest number factor they all share in common is 8. this means there will be 8 bags with 6 pencils, 10 markers, and 8 stickers in each bag.

answer: bearing in mind that a rectangle has a perimeter of length + length + width + width.

step-by-step explanation:

p = perimeter

l = length

x=width

p = 2l + 2x

p = 2(l+x)     < ==== perimeter of the base of the box.