Answer:
A) Ms. Swift can conclude that hey are similar, because line E,C,A is collinear, and they both are right triangles.
B) 158.3ft
Step-by-step explanation:
A) Having a collinear line makes the triangles similar, and because of their collinear line they are both right triangles.
B) The question tells you DE is 103 ft. You take 76ft and Square it giving you 5776ft You then take 103 and square it giving you 10609ft adding them together gives you 16385ft you take the square root of it and it gives you the hypotenuse of triangle CDE. To get the hypotenuse of triangle ABC you take The expression (AB/DE)=(BC/CD)=(AC/EC) step one (AB/DE)=(94ft/76ft)=AC/DE) step two (103ft/127ft)=(94ft/76ft)=(AC/DE) third step (103ft/127ft)=(94ft/76ft)=(128ft/158.3)
I truly hope this helps! :)
Sum=add. difference=subtract (I'm just answering so you don't waste points)
Answer:
Bryce's unit rate in miles around the track is 3 rate per mile . Now, as we know the formula for speed i.e. So, Bryce's unit rate in miles around the track is 3 rate per mile .
Answer:
First Equation is Right which is -56/8 = 7
Step-by-step explanation:
LHS = -56/8
=> -7
RHS = -7
So LHS = RHS
Answer:
rate boat = 15 mph
rate current = 5 mph
explanation:
d = r * t
t = d/r
240 / (r_boat + current) = 12 Multiply both sides by r_boat + r_current.
240 = 12(r_boat + current)
240/ (r_boat - current) = 24 Multiply both sides by r_boat - r_current
240 = 24*(r_boat - current)
Since the distances are the same in both equations, you can equate the right side of each.
12 (r_boat + current) = 24(r_boat - current) Divide by 12
r_boat + current = 2 (r_boat - current) Remove the brackets.
r_boat + current = 2*r_boat - 2* current add 2 currents to both sides
r_boat + 3currents = 2*r_boat Subtract r_boat both sides
3 currents = r_boat.
240 = 12*(r_boat + current. Divide by 12
20 = r_boat + current Put 3 currents in for r_boat
20 = 3currents + 1 current Combine
20 = 4 currents Divide by 4
5 = current
The rate of the current = 5 miles / hour
3 currents = r_boat
3*5 = rate_boat
15 = rate of the boat
