14 degrees. It equals half the intercepted arc.
(See attached graphic)
Answer: x=11
Step-by-step explanation:
This is an isosceles triangle. It has 2 congruent sides and congruent angles. First, It is a given that an angle measure 42. Since that is the vertex angle, it not equal to the other angles. Using the converse of base angles isosceles triangle, we now the two angles at the bottom are congruent since the lines are equal so both of the bottom angles measure (5x+14). Next, Using Triangle Interior Theorem, a triangle 3 degrees adds up to 180 degrees so we set it equal to that.
42+ 5x+14+ 5x+14=180
42+10x+28=180
10x+70=180
10x=110
x=11
Answer:
The confidence interval for the true mean calorie content is

Step-by-step explanation:
In this problem we know the mean and standard deviation fo the sample, so we can compute the CI like this:

We need to determine t for 10-1=9 degrees of freedom and 99% confidence level. We look up in the t-table and the value for t is 3.2498.
Then we can calculate the limits of the CI:

Answer:
Hey there! Since 20 is 25% of 80, there will be 20 carrots. I hope this was helpful!
Step-by-step explanation: