Answer:
(3,3)
Step-by-step explanation:
x + y - 6= 0
x- y = 0
Add the two equations together
x + y - 6= 0
x- y = 0
-------------------
2x - 6 = 0
Add 6 to each side
2x-6+6 = 0
2x = 6
Divide by 2
2x/2 = 6/2
x = 3
Now find y
x-y = 0
3 - y = 0
y = 3
Distribute to eliminate the parenthesis
x^2 + 2x + 6x + 12 = 60
Combine like terms
x^2 + 8x + 12 = 60
Subtract 60 from both sides
x^2 + 8x - 48 = 0
Factor the equation
(x+12)(x-4)=0
x+12=0
x+4=0
x= -12 and -4
we know that
Vertical angles are congruent angles
that means
substitute the given values
(7x – 27)=(3x + 29)
solve for x
7x-3x=29+27
4x=56
x=14
part b)
We know that
Supplementary angles are angles that their sum is equal to 180 degrees
so
A+B=180
substitute the given values
5x+25+x+17=180
solve for x
6x+42=180
6x=180-42
6x=138
x=23
Find the measure of Angle A
n(A), n(B) and n(AnB) are given and n(AUB)'s complement is asked.
