Answer:
1. Transversal y intersects lines m and n; <1 ~= <2 (Given)
2. <1 ~= <3 (Vertical Angles Theorem)
3. <2 ~= <3 (Transitive Property of Congruence)
4. m || n (Converse of Alternate Interior Angles Theorem)
Answer:
The system has an infinite set of solutions 
Step-by-step explanation:
From the first equation:




Replacing on the second equation:




This means that the system has an infinite number of solutions, considering:



The system has an infinite set of solutions 
Answer:
30.6 euros
Step-by-step explanation:
Set up a proportion: 2/1.8=34/x
2x=61.2
x=30.6
Therefore, 30.6 euros
I hope this helped and have a good rest of your day!
Step-by-step explanation:
"Solutions to the equation" just means that they are points on the line. To find out if these two points land on this line, plug each one in, like this:
1.5 = (1/4)(1) + (5/4)
1.5 = (1/4) + (5/4)
1.5 = (6/4)
1.5 = 1.5
Since the expression is true, this point is on the line.
Do the same process for the second point (remember a point is formatted (x,y)) and see if it is also a point on the line.
To find the x-intercept, simply plug in 0 for y and see what you get. It should look like (x,0).
0.0392 or 3.92%
The exponential growth formula can find the interest rate.
y - tolat value (P +I) (216)
a - principal (200)
r- rate (unkown)
x - time in years (2 yrs)
Substitute known values
divide both sides by 200
take the square root of both sides
subtract 1 on both sides
r = 0.0392 or 3.92%