Answer:
They are congruent by SSS.
Step-by-step explanation:
Consider the 2 triangles:
WX ≅ WZ (given)
XP ≅ ZP ( given in the diagram).
WP is common to both triangles.
Therefore they are congruent by SSS.
Answer:
- 7 singing acts
- 5 comedy acts
Step-by-step explanation:
If all were comedy acts, the 12 of them would take 36 minutes. To make the show last 14 minutes longer, there must be 7 singing acts, since each adds 2 more minutes to the show than does a comedy act.
There are 7 singing acts and 5 comedy acts in the show.
_____
If you need an equation, let s represent the number of singing acts. Then the show length is ...
5s +3(12 -s) = 50
2s + 36 = 50 . . . . . eliminate parentheses
2s = 14 . . . . . . . . . . subtract 36 (the time for 12 comedy acts)
s = 7 . . . . . . . . . . . . divide by 2. This is the number of singing acts.
12 -s = 5 . . . . . . . . . the rest of the acts are comedy acts
Answer: 2.70
Step-by-step explanation: 5-2.30=2.70
The “2” outside the brackets was multiplied onto everything that is inside the brackets.
Answer:
The Columbian Exchange. Hopefully this is right :)
Step-by-step explanation:
