Answer:
Δ ABC and Δ DEF are similar because their corresponding sides are proportional
Step-by-step explanation:
Two triangles are similar if their corresponding sides are proportional which means the corresponding sides have equal ratios
In the two triangles ABC and DEF
∵ AB = 4 units
∵ DE = 2 units
∴ 
∵ BC = 6 units
∵ EF = 3 units
∴ 
∵ CA = 2 units
∵ FD = 1 units
∴ 
∴ 
∵ All the ratios of the corresponding sides are equal
∴ The corresponding sides of the two triangles are proportional
∴ Δ ABC is similar to Δ DEF
Answer:
3.75
Step-by-step explanation:
4x+9=24
4x=24-9
4x=15
x=15/4
x=3.75
Answer:

Step-by-step explanation:
Let the time flown by the flying carpet be
. Then, we have that
.
We multiply both sides of the equation by
to get
.
We subtract
from both sides to get
.
We divide both sides of the equation by
.
We know that the speed of the flying carpet in still wind is the average of the rates of the speed of the flying carpet with the wind and against the wind.
The speed with wind is
mph.
The speed against wind is
mph.
The speed in still wind is
.
Therefore, the answer is
and we're done!
Answer:
2x+17
Step-by-step explanation:
-4y+8-3x+4y+9+5x
Combine like terms
-3x +5x -4y +4y +8+9
2x +0 +17