Answer:
29.4
Step-by-step explanation:
Answer:
24
Step-by-step explanation:
Keep in mind that exterior angles are mentioned. So let's find the interior ones. Note that the interior and exterior angles are forming straight lines. So something plus 84 equals 180 degrees.
180-84=96
180-120=60
The sum of three angles of a triangle is 180 degrees. X is an angle. So we can form an equation to represent this. Then just solve for x!
96+60+x=180
156+x=180
x=24
You solve this by plugging one equation into the other. Usually you have to rewrite one equation to make this work. In this case I choose to rewrite y-4x=0 as y=4x.
After plugging it into the second, you get:
3x + 6*4x = 9 => 27x = 9 => x=1/3
Putting this solution back into y=4x gives us y=4/3
QUESTION 1
We want to solve,

We factor the denominator of the fraction on the right hand side to get,

This implies


We multiply through by LCM of


We expand to get,

We group like terms and equate everything to zero,

We split the middle term,

We factor to get,





But

is not in the domain of the given equation.
It is an extraneous solution.

is the only solution.
QUESTION 2

We add x to both sides,

We square both sides,

We expand to get,

This implies,

We solve this quadratic equation by factorization,





But

is an extraneous solution
Answer:
D is correct.
Step-by-step explanation:
(x + 2)^2 + (y - 6)^2 = r^2
(-2+2)^2 + (10 - 6)^2 = r^2
r^2= (10 - 6)^2
r^2=16