6 + (-9x + 10x) - 6 = 6 + (-9 + 10)x - 6
Distributive property: a × (b + c) = a × b + a × c
ANSWER
30 in.
EXPLANATION
The formula for calculating the circumference of a circle in terms of diameter is

It was given to us that the circumference is C=30π in.
We substitute this into the formula to obtain;

Divide both sides by π to get,

The diameter is 30 in.
The second choice is correct.
Answer:
1. x is greater than -1
2. x is less than or equal to -1
3. x greater than or equal to -1
4. x is less than -1
Step-by-step explanation:
The filled in dots means it could be equal to, non-filled dots mean it can only be greater or less. When the variable is first, look at the direction of the line
Answer:
Step-by-step explanation:
we know that
The simple interest formula is equal to
where
I is the Final Interest Value
P is the Principal amount of money to be invested
r is the rate of interest
t is Number of Time Periods
in this problem we have
substitute in the formula above
solve for P
Answer:
We have the three angles of a triangle as an equation, so we can add them together, and they equal 180.
So:
4x+10+12x-6+3x+5= 19x+9=180
19x=171 ... so: x= 171/19 = 9.
So ABC = 102 .. Obtuse angle
BAC = 46 .. Acute angle
BCA = 32 .. Acute Angle
Edit:
Angle 1 = 180 - BAC = 180 - 46 = 134
Angle 2= 180 - ABC = 180 - 102 = 78