Angle 1 = 8x + 45
Angle 2 = x
x + 8x + 45 = 180
combine like terms
9x + 45 = 180
subtract 45 from both sides
9x = 135
divide both sides by 9 to isolate x
x = 15
Angle 1 = 8(15) + 45 = 165 degrees
Angle 2 = 15 degrees
Answer:
Integers, Terminating Decimals, Recurring Decimals, Proper and Improper Fractions.
Step-by-step explanation:
The following subset of the real number system can be written in the form 
, b≠0.
Integers(ℤ): These are positive and negative whole numbers. For example, 5 can be written as 
Terminating Decimals: These are fractions that when converted to decimal numbers have an end.
e.g. 
Recurring Decimals: These are fractions that when converted to decimal numbers do not have an end.
e.g. 
Proper Fractions: These are fractions of the form where a<b. An examples is 
Improper Fractions: These are fractions of the form where a>b. An examples is 
Answer:
-5
Step-by-step explanation:
The parabolas equation is
(y - k)^2 = 4p(x - h)
Where h,k is the vertex
Substituting the vertex ad (2,-4)
(y - -4)^2 = 4p(x - 2)
(y +4)^2 = 4p(x - 2)
We need to find p from the other point they give us (-3,-3)
(-3 +4)^2 = 4p(-3 - 2)
1^2 = 4p (-5)
1 = -20p
Divide by -20
1/-20 = -20p/-20
-1/20 = p
Substituting back into the equation
(y +4)^2 = 4(-1/20)(x - 2)
Simplifying
(y +4)^2 = (-1/5)(x - 2)
FOILing
y^2 +8y +16 = -1/5x +2/5
Multiply by 5
5y^2 +40y +80 = -x +2
Subtract 2
5y^2 +40y +80-2 = -x +2-2
5y^2 +40y +78 = -x
Multiply by -1
-5y^2 -40y -78 = x
The coefficient of y^2 is -5
The factoriztion of 900-1= 29,31
