Supplementary angles by definition means the sum is 180.
From that knowledge we can write up some equations.
Let angle 1 = x, and angle 2 = y
x + y = 180
"The larger of two supplementary angles measures 20° less than four times the measure of the smaller angle"
(Let x be the larger angle)
x+20 = 4y
Since there are two different equations, and two variables, this means we have a set of simultaneous equations.
We can solve this via the substitution method or the elimination method.
I choose to solve it via the substitution method cause of personal preference.
x + y = 180 => x = 180- y
x+20 = 4y => x = 4y - 20
Make them equal each other..
180 - y = 4y - 20
200 = 5y
40 = y
Now that we know y we can sub it into any equation to find x
x + 20 = 4y
x + 20 = 4(40)
x + 20 = 160
x = 140
So the angles are 40° and 140°
Answer:
x = - 1
y = - 3
z = -2
Step-by-step explanation:
Please see steps in the image attached here.
Answer:
√169 OR 13
Step-by-step explanation:
D= √(14-2)^2+(6-1)^2
D= √12^2=5^2
D= √144+25
D= √169 AKA 13
Answer:
3
Step-by-step explanation:
13-4=9
9/3=3
ANSWER
Center: (20,12)
Radius:23
EXPLANATION
The given circle has equation:
We complete the square as follows:
Comparing this equation to:
We have
representing the center and
being the radius.
