Answer:
she has 3/4 of the material left or 75%
Systems of Linear Equations with Infinitely Many Solutions
Answer:
a line
Step-by-step explanation:
In geometry, we can define a line as a straight one- dimensional figure without thickness but extends infinitely in both directions.
If we are to put it into more understandable words, we can describe a line as the shortest distance between any two points.
A line has a specific definition in geometry. Every other option listed do not have specific definition in geometry.
Answer:
Step-by-step explanation:
Let x represent the number of stamps from Europe.
Let y represent the number of stamps from Africa.
Let z represent the number of stamps from Asia.
She has 47 stamps in all. This means that
x + y + z = 47 - - - - - - - - - - - 1
The number of African stamps is 2 times the number of Asian stamps. This means that
y = 2z
She has 20 stamps from Europe. Therefore, substituting x = 20 and y = 2z into equation 1, it becomes
20 + 2z + z = 47
3z = 47 - 20 = 27
z = 27/3 = 9
y = 2z = 2 × 9
y = 18
She has 20 stamps from Europe, 18 stamps from Africa and 9 stamps Asia.
Using the definition of vertical angles you can set up the equation 3x+4=115, when solved you get x=37. Hope this helps!