Given that we assume that all the bases of the triangles are parallel.
We can use AAA or Angle-Angle-Angle to prove that these triangles are similar.
Each parallel line creates the same angle when intersecting with the same side.
For example:
The bases of each triangle cross the left side of all the triangle.
Each angle made by the intersecting of the the parallel base and the side are the same.
Thus, each corresponding angle of all the triangles are congruent.
If these angles are congruent, then we have similar triangles.
Answer:
2 km/h
Step-by-step explanation:
Let
Rate of river current = x km/h
Speed of Peter's boat = 4x km/h
He takes 15 km trip up (opposite direction)
His speed upstream = 4x - x
= 3x
His speed is 3x and distance is 15 km
Time = Distance / Speed
15/3x
= 5/x
And
Moving downstream (same direction)
Speed will be 4x + x = 5x
Distance = 15km,
speed = 5x
Time = Distance / Speed
= 15/5x
= 3/x
Total time take for trip = 4 hours
Total time take for trip = upstream + downstream
4 =5/x + 3/x
4 = 8/x
Cross product
4 * x = 8
x = 8/4
x = 2
Rate of river current = x km/h
= 2 km/h
Answer:
The weight of the zinc in the metal bar was 50% of the weight of the metal bar .
Step-by-step explanation:
Weight of the metal bar ,M= 36 g
Weight of the zinc in the metal bar , m= 18 g
Percentage of zinc in the metal bar :
The weight of the zinc in the metal bar was 50% of the weight of the metal bar .
Answer:
It could be anywhere from eight to 15 members.
Step-by-step explanation:
Answer:
A. Count the members on each team
Hurdles = ⅜ × 40 = 3 × 5 = 15
Long jump = ⅘ × 40 = 4 × 8 = 32
Let's look at the two extremes.
B. Most people will compete in only one event
Then the teams will overlap by seven members (Figure 1).
C. All those in Hurdles compete in the Long Jump
Then 15 members will compete in both Hurdles and Long Jump (Figure 2).
Answer:
7,12,17,22,27
Step-by-step explanation:
You just plug in 1,2,3,4,5 as n and add your values
so 7+5(1-1)=7
7+5(2-1)= 12 and so on
