Answer:
a=40
b=50
c= 115
Step-by-step explanation:
The first angle we will find is angle c
65 and angle c make a straight line so they add to 180
c+65 = 180
Subtract 65 from each side
c+65 -65 =180-65
c = 115
Angle a and 40 are vertical angles
Vertical angles are equal
angle a = 40
The sum of the angles in a triangle are equal to 180
a+b+ right angle = 180
40+ b + 90 = 180
130 +b = 180
Subtract 130 from each side
130-130+b = 180-130
b= 50
Answer:
Step-by-step explanation:
You could factor this to find out how many real roots you have, but it's easier to use the rule of the discriminate. The discriminate comes from the quadratic formula:

Plug in the numbers from the quadratic and see what the value of it is. If the:
discriminate < 0, you have 2 imaginary roots
discriminate = 0, you have 1 real root, multiplicity 2 and
discriminate > 0, you have 2 real roots
Our b is 8, our a is 6 and our c is -7 (remember you have to set the polynomial equal to 0 to do this).

Because 232 is > 0, we have 2 real roots.
Answer:
4/50 or 2/25
Step-by-step explanation:
Slope/rate of change is defined as the vertical distance over horizontal. then simplify.
Answer:
28.8
Step-by-step explanation: