Answer:
The value of x is 6
Step-by-step explanation:
we know that
If two angles are supplementary, then their sum is equal to 180 degrees
so
In this problem
m∠C+m∠E=180°
we have
m∠C=112°
m∠E=(3x+50)°
substitute and solve for x
112°+(3x+50)°=180°
3x+162=180
3x=180-162
3x=18
x=6
Answer:
Step-by-step explanation:
9.65+0.4=10.05
16.058-1.2=14.858
Alright First you combine the like terms.
9n - 3n = 6n
21 - 24 = -3
Rewrite the simplified equation
6n - 3 = 0
Solve for n
6n = 3
n = 3/6
n = 1/2
Ask if you need more help! :)
Answer:
16x^2 -8x +1
Step-by-step explanation:
The square of a binomial expands as ...
(a +b)^2 = a^2 +2ab +b^2
So, you need to look for a trinomial with first and last terms that are perfect squares and a middle term that is double the product of the roots of those terms.
This pattern matches ...
16x^2 -8x +1 = (4x -1)^2
Answer:
The probability that Joe's stock will go up and he will win in the lottery is 0.00005.
Step-by-step explanation:
Let the events be denoted as:
<em>X</em> = the stock goes up
<em>Y</em> = Joe wins the lottery
Given:
P (X) = 0.50
P (Y) = 0.0001
The events of the stock going up is not dependent on the the event of Joe winning the lottery.
So the events <em>X</em> and <em>Y</em> are independent of each other.
Independent events are those events that can occur together at the same time.
The joint probability of two independent events <em>A</em> and <em>B </em>is,

Compute the value of P (<em>X ∩ Y</em>) as follows:

Thus, the probability that Joe's stock will go up and he will win in the lottery is 0.00005.