So for this you need to set them equal to each other! 3x+100=5x-160
now you combine like terms and solve!
Answer:
The point of intersection of the lines is
.
Thus, Ariyonne's claim is incorrect.
Step-by-step explanation:
Given equations:
1) 
2) 
To find the point of intersection, we need to solve the given system of equations.
In order to solve the system we will use substitution method.
We will substitute value of
from first equation in the second equation and solve for 
So, we have

Multiplying both sides by 2 to remove fraction.

Using distribution.

Subtracting both sides by


Adding 4 to both sides.


Dividing both sides by 7.


We can find value of
by plugging in
in the first equation.



So, the point of intersection of the lines is
.
Thus, Ariyonne's claim is incorrect.
Louis traveled 7,144 miles
Answer:
x = 80°
Step-by-step explanation:
Angle on a straight line = 180°
(x + 40)° + (x - 20)° = 180°
x + 40° + x - 20° = 180°
2x + 20° = 180°
2x = 180° - 20°
2x = 160°
x = 160°/2
x = 80°
Check:
(x + 40)° + (x - 20)° = 180°
(80° + 40°) + (80° - 20°) = 180°
120° + 60° = 180°
180° = 180°
Answer:
you didn't put the picture ._.
Step-by-step explanation: