X - the percent of increase
The percent of increase is approximately 23.8%.
Answer:
4.5
Step-by-step explanation:
∠BAC ~ ∠EDF means that the triangles are similar. So the legs of the triangle share the same proportions, even if the sizes are different.
Since they share the same proportions, the same operations can be performed on each base to find the area.
The answer can be found with the knowledge that the area of a triangle is half of the height * width. You know the width of ∠BAC is 4, and the area is 8, so 16 (the area doubled) / 4 is the height. The width and height of ∠BAC are the same, and since the proportions are also the same, the width and height of ∠EDF are both 3. So the area is the width (3) times the height (3) divided by 2.
3*3 = 9
9/2 = 4.5
So the area is 4.5
Answer: D) infinitely many solutions
Explanation: because the lines overlap each other every single point is a solution, therefore infinitely many solutions
Answer:
Airspeed in still air: 140 mph
Step-by-step explanation:
Let s represent the speed in still air. Recognize that the distance traveled is the same in either direction.
Also note that SF is north of LA.
Distance to SF from LA = Distance to LA from SF
(s-20)(mph)(4 hr) = (s+20)(mph)(3 hr)
Then:
4s - 80 = 3s + 60 => s = 60 + 80 + 140 (mph)
The airspeed of the plane was 140 mph in still air. With a tail wind, the plane is faster; with a headwind, slower.
