Yes, they are congruent. Congruent means that they are exactly equal in size and shape. The are both Right Triangles (you can tell by the 90 degree angle) and the lines on them are in the same spots, which means, line YZ is equal to line BC, and that line XZ is equal to line AC. I hope that helped! :)
It's basically just a recorder that has a 3>15 PSI input from the process controller and graphs on paper the processes variables that are measured
Answer:
Option 3
Step-by-step explanation:
Since lines a and b are intersecting, x+5=2x-5. Because they are vertical angles.
x+5=2x-5
2x-x=5+5
x=10
Answer:
Step-by-step explanation:
Blank 1 = " x "
Blank 2 = " 3 "
Answer: he lived 9 months in Portugal and 5 months in Brazil.
Step-by-step explanation:
Let x represent the number of months he lived in Portugal.
Let y represent the number of months he lived in Brazil.
Wolfrich lived in Portugal and Brazil for a total period of 14 months in order to learn Portuguese. This means that
x + y = 14
He learned an average of 130 new words per month when he lived in Portugal and an average of 150 new words per month when he lived in Brazil. In total, he learned 1920 new words. This means that
130x + 150y = 1920- - - - - - - - - - - 1
Substituting x = 14 - y into equation 1, it becomes
130(14 - y) + 150y = 1920
1820 - 130y + 150y = 1920
- 130y + 150y = 1920 - 1820
20y = 100
y = 100/20
y = 5
x = 14 - y = 14 - 5
x = 9
