Answer:
C, B, A
Step-by-step explanation:
The sides in order from shortest to longest are ...
AB = m-2
AC = m
BC = m+4
The angles opposite these sides will be in order, smallest to largest. The angle opposite is the one whose letter is <em>not</em> in the line segment name.
C, B, A
I think the correct answer from the choices listed above is option C. <span>When you make the circle bigger or smaller, it is the radius of the standard equation for the circle centered at the origin changes. Hope this answers the question. Have a nice day.</span>
Answer:
a = -24
Step-by-step explanation:
-a/6 +8 = 12
Subtract 8 from each side
-a/6 +8-8 = 12 -8
-a/6 = 4
Multiply by -6 on each side
-a/6 * -6 = 4*-6
a = -24
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
