Answer:
105
Step-by-step explanation:
all of the angles added will add up to equal 180 so we setup the equation
180=11x-5+6x+5+x and solve
step 1 combine like terms
180=18x
step 2
divide each side by 18
x=10
then we just plug in 10 to 11x-5
11x10=110-5=105
angle q=105
It is very simple, <span>|2x + 4| > 14, we have 2x+4>14 or -(2x+4) >14 (absolute value definition) so 2x> 14-4, x>10/2=5 or -2x>14+4, -x>18/2=9, implies x< - 9
the solution is x>5, or x< -9, so the answer is </span>number line with open circles on _9 and 5, shading going in the opposite directions.
P(not 5) =5/6 and P(5) = 1/6
If the first 5 is rolled on the 5th roll then the first four rolls were not 5
P(5 on fifth roll) = 5/6 x 5/6 x 5/6 x 5/6 x 1/6 = 5^4/6^5 = 625/7776 = 0.080375...
The first claim,
"If 2<em>n</em> + 4 is even, then <em>n</em> is even"
is false; as a counterexample, consider <em>n</em> = 1, which is odd, yet 2•1 + 4 = 6 is even.
The second claim,
"If <em>n</em> is even, then (<em>n</em> + 3)² is odd"
is true. This is because
(<em>n</em> + 3)² = <em>n</em> ² + 6<em>n</em> + 9
<em>n</em> ² + 6<em>n</em> is even because <em>n</em> is even. 9 is odd. The sum of an even and odd integer is odd.
