Answer:
c. (5, -2)
Step-by-step explanation:
as we can clearly see, the 4th vertex has to be on the positive side of x.
therefore, all answer options with negative x are out.
(2, -5) is almost at D (-1, 5). that cannot be right for a rectangle.
that leaves only c as right answer.
FYI - how to get this without predefined answer portions ?
the x- difference of B to A is 4 (from -5 to -1). the x-difference from D to C must be the same (4). 1 + 4 = 5.
so, x of D must be 5.
the y- difference of B to A is 3 (from 3 to 6). the y-difference from D to C must be the same (3). -5 + 3 = -2.
so, y of D must be -2.
Answer:
the total of angle's in traingle is 180
so 85+53+c=180
c=180-138
c=42
I would think it would be 200km before rob caught up with him?
The answer to your question is 21.5
Answer:
18ft wide and 33 ft long
Step-by-step explanation:
We are told in the question that:
Cynthia Besch wants to buy a rug for a room that is 20 ft wide and 35 ft long.
The Area of the carpeting she must have = 594 ft²
To solve for this, we have:
Length × Width = Area of a rectangle
594ft² = Length × Width
594ft² = (20 - x) (35 - x)
594 = 700 - 20x - 35x + x²
594 = 700 - 55x + x²
Collect like terms
x² - 55x + 700 - 594
x² - 55x + 106
We factorise
x² - 2x - 53x + 106
(x² - 2x) -(53x + 106)
x(x - 2) -53(x - 2)
(x - 2)(x - 53)
x - 2 = 0, x = 2
x - 53 = 0, x = 53
We choose the least value for x
Hence, x = 2
Length = 20 - 2 = 18ft
Width = 35 - 2 = 33ft
The dimensions the rug should have is 18ft by 33ft, meaning 18ft wide and 33 ft long
