Answer: The correct option is a.Quadrilateral DEFG is a rhombus because opposite sides are parallel and all four sides have the same length.
Explanation:
It is given that coordinates of the vertices of quadrilateral DEFG are D(−2, 5) , E(2, 4) , F(0, 0) , and G(−4, 1) .
The distance formula for two points is given below,





Slope formula,

Slope of DE,

Slope of EF,

Slope of FG,

Slope of DG,

The slope of opposite sides are equal, it means the opposite sides are parallel.
All four sides do not have the same length. It means it is not a rhombus.
From the figure it is noticed that the opposite sides are parallel.
Therefore, the correct option is a.Quadrilateral DEFG is a rhombus because opposite sides are parallel and all four sides have the same length.
42•48=2,016. Hope this helped!
Answer:
x=48
Step-by-step explanation:
The other angle is 66° because it's an isosceles triangle
so
180=66+66+x
180=132+x
x=48
Answer:
option B
$28.80
Step-by-step explanation:
Given the question,
side length of one square tile = 9 inches
area of square tile = l² = 9² = 81 inches²
<h3>Step1</h3>
There are 48(96) = 4608 carpet tiles, so the company was making 4608($.05) = $230.40.
<h3>Step2 </h3>
Now, the company countered with square feet. We have a total of 4608(81) = 373,248 square inches.
1 square foot = 144 square inches.
373,248/144 = 2592 square ft.
2592($.10) = $259.20
$259.20 - $230.40 = $28.80
Answer:
irrational
Step-by-step explanation:
3/4 + sqrt(2)
3/4 is rational
sqrt(2) is irrational
The sum of a rational and an irrational number is irrational