Answer:
(in order) #1
for the first one you have a vertical angle. Vertical angle is basically any 2 lines who intersect each other. The opposite sides will be congruent.
So in this case
2x+8 and 110 are oppostie sides.
2x+8=110
Which is x= 51
#2
For the second one you have supplementray angles
Now for supplementary angles its basically 2 angles added up that form a straight line And 180 degress is always the measure of a straight line. SO in this case we do
9x+12x+75=180
Which is x=5
#3
This is also a vertical angle pair and their congruent just like #1
So 5x+5=65
x=12
Answer:
Angelo is 66 Brandon is 26 Carl is 31
Step-by-step explanation:
Variables a=Angelo b=Brandon c=Carl
Equation (1/3)(a+b+c) = 41
Answer:
The roots of the polynomial are;
3 + 2i
and 3-2i
Step-by-step explanation:
Here, we want to solve the given polynomial using the completing the square method
We start by dividing through by 8
This will give;
x^2 - 6x = -13
To complete the square, we simply divide the coefficient of x by 2 and square it
We have this as -6/2 = -3
square it;; = (-3)^2 = 9
Add it to both sides
x^2 - 6x + 9 = -13 + 9
x^2 - 6x + 9 = -4
(x-3)^2 = -4
Find the square root of both sides
x-3 = ±2i
x = 3 + 2i
or x = 3-2i
