First of all, the left triangle is an equilateral triangle. Which means that all the interior angles are 60 degrees.
4w=60
w=15
Then all 3 sides are equal thus we can set up equation 3x-y=4y then simplify,
3x=5y
Going to the triangle on the right its isosceles we can set up equation 2x+50=180
2x=130
x=75
Substitute this back into equation above 3x=5y
5y=3*75
y=45
Therefore
x=75
y=45
w=15
Done!
The coefficient is the number, therefore -5 and -4,
The exponent of the first x is 1 and the second x is 2, if the 2 is meant as an exponent. The first exponent of y is 1 and 5e second y is 2
Answer:
T == R + NH
Step-by-step explanation:
The fixed rate R is added to the hourly charges to get the total T. The hourly charges are the product of the number of hours and the charge per hour, NH.
The sum is then ...
... T = R + NH
Answer:
(P, Q) = (-75, 57)
Step-by-step explanation:
The equation will have infinitely many solutions when it is a tautology.
Subtract the right side from the equation:
Px +57 -(-75x +Q) = 0
x(P+75) +(57 -Q) = 0
This will be a tautology (0=0) when ...
P+75 = 0
P = -75
and
57-Q = 0
57 = Q
_____
These values in the original equation make it ...
-75x +57 = -75x +57 . . . . . a tautology, always true