I think you meant the two <em>segments</em><em> </em>are identical, if so then:
Answer:
width = 6 feet
length = 19 feet
Step-by-step explanation:
'w' = width
'2w+7' = length
50 = 2w + 2(2w+7)
50 = 2w + 4w + 14
36 = 6w
6 = w
length = 2(6)+7 = 19
Answer:
No, it is a reflection and a translation
Step-by-step explanation:
It reflects off of A and translates to the right over B
Volume = 12 * area of triangular base
area of triangle = 1/2 base * height = 3 * height
height = sqrt(5^2 - 3^2) = 4
area of triangle = 4*3 = 12
Vol of prism = 12*12 = 144 cubic units
Let x represent the number originally signed up.
.. 360/x -6 = 360/(x +3)
.. 360*(x +3) -6x(x +3) = 360x . . . . . multiply by the product of denominators
.. 360x +1080 -6x^2 -18x = 360x
.. x^2 +3x -180 = 0
.. (x +15)(x -12) = 0
Solutions are x = {-15, 12}
12 members went on the trip.
_____
The problem wording does not make clear whether the original number (12) or the number suggested by the bus company (15) went on the trip. It would be most reasonable for 15 to go, if the troop had people who were willing.
