In an isosceles triangle, the base angles are congruent. The third angle is called the vertex angle.
Here, the vertex angle is <A.
Therefore, m<C = m<B.
m<A = 3m<B + 20
m<A + m<B + m<C = 180
3m<B + 20 + m<B + m<B = 180
5m<B + 20 = 180
5m<B = 160
m<B = 32
m<C = m<B = 32
Answer: m<C = 32 deg
Answer:0.2 gallons and 1.6 pints
Step-by-step explanation:
1 gallon = 8 pint
1 gallon / 5=0.2 gallon
8 pint / 5=1.6 pint
Answer:
c² - 63
Step-by-step explanation:
4c - 10 = 30
3c ÷ 3 = 10
c² - 63 = 37
c² ÷ 10 = 10
Since c² - 63 = 37 and c + 25 = 35, 37 is greater than 35 so it would make sense to choose c² - 63 as the answer.
c + 25 < 37
I hope this helps you :D
Answer:
The sample mean is
min.
The sample standard deviation is
min.
Step-by-step explanation:
We have the following data set:

The mean of a data set is commonly known as the average. You find the mean by taking the sum of all the data values and dividing that sum by the total number of data values.
The formula for the mean of a sample is

where,
is the number of values in the data set.

The standard deviation measures how close the set of data is to the mean value of the data set. If data set have high standard deviation than the values are spread out very much. If data set have small standard deviation the data points are very close to the mean.
To find standard deviation we use the following formula

The mean of a sample is
.
Create the below table.
Find the sum of numbers in the last column to get.


Answer:
y=8/5 x
Step-by-step explanation:
combine the like terms and solve
take the number multiplying with y on the other side and divide it by a number multiplying with x