The triangles are similar so the angles are equal
2x^2 - 2 = 10x - 2
2x^2 - 2 - 10x + 2 = 0
2x^2 - 10x = 0
2x(x - 5) = 0
2x = 0 OR x - 5 = 0
x = 0 OR x = 5
0 doesn't make sense, because IF I plug 0 into 2x^2 - 2 I get a negative number. We need to use 5 to find the angle measure
2(5^2) - 2 = 2(25) - 2 = 50 - 2 = 48 degrees or the measure of CED
X apples and 8 oranges = x+8
The answer is x+8.
Hope this helped☺☺
Answer: 271.
Step-by-step explanation:
When the prior population proportion of success is not available, then the formula to find the sample size is given by :-
Given : Significance level : 
By using the standard normal distribution table ,
Critical value : 
Margin of error : 
Then , the required minimum sample size will be :-
Hence, the required minimum sample size is 271.
Answer:
If 
then 
and 
Step-by-step explanation:
Solve two inequalities for x.
1. 
Separate terms with x and without x into two sides:
Multiply by -1:
2. 
Separate terms with x and without x into two sides:
Multiply by -1:
Find the largest set of x values satisfying both inequalities:
If
then 
and 
In this case both m and n are negative.
If 
then and
If 
then 
and 
The failure to file penalty refers to the amount of money that a tax payer has to pay as penalty for not filing his tax before the assigned deadline. The failure to pay penalty is 0.5% of the tax balance that is owned per month.
Thus, for Elijah, who is owning $88, the failure to pay penalty is 0.5% *88 = $0.44.
Elijah has to pay $0.44 per month for the period during which he withhold the tax.
