The sum of the three angles of a triangle is always 180°. Tha is
(first measure) + (second measure) + (third measure) = 180°
Subtract the first two terms of this equation and you have
(third measure) = 180° - (first measure) - (second measure)
a. third measure = 180° - 45° - 55° = 80°
b. third measure = 180° - 50° - 40° = 90°
c. third measure = 180° - 110° - 35° = 35°
your answer willl be 12.44
Have a great day!
<3
Step-by-step explanation:
Answer:
(x-4)^2 + (y-2)^2 = 3^2
or
(x-4)^2 + (y-2)^2 = 9 (simplified if needed)
Step-by-step explanation:
-Equation of a circle is:
where the center is (h, k) and the radius is 
.
-Place the center and the point onto that equation:
-Then, you solve:
-So, the result is:
or
(simplified if needed)
Answer:
"simplify" it
Step-by-step explanation:
To convert from vertex form to standard form for a quadratic, eliminate parentheses and collect terms. In short, "simplify" it.
First join the log4 on the left:
log4( x*(x-3) = log4(-7x+21)
Then x = -7, works: -7*(-10)=70 = -7*(-7)+21
x=-3, 18 = 42, does not work
x=3 0=0 works,
However, when one puts x = -7 in the *original* exression, log4(-7) or log4(-10) do not exist (you know why?). So x= -7 is extraneous.
Now x=3 gives log4(0) on the left and right, which does not exist.
So, C is the answer, both are extraneous. Seem to work but indeed don't work in the *original* equation
