Answer:
90deg
Step-by-step explanation:
If the angles are supplementary, that means mA + mB = 180*
we know that
mA = (2x + 8)deg
mB = (2x + 8)deg = mA
mA + mB = 180deg
mB + mB = 2mB = 180deg
mB = 90deg
Note, that we did not need to compute x even, because the angles were the same.
Answer:
Formula: A = 48,000(1+0.02)^t
salary after 30 years: $ 86,945.35
Step-by-step explanation:
Hi, to answer this question we have to apply an exponential growth function:
A = P (1 + r) t
Where:
p = initial salary
r = raising rate (decimal form)
t= years
A = salary after t years
Replacing with the values given:
A = 48,000 (1+ 2/100)^t
A = 48,000(1+0.02)^t
Salary after 30 years: substitute t=30
A = 48,000(1+0.02)^30
A = 48,000(1.02)^30
A=$ 86,945.35
Feel free to ask for more if needed or if you did not understand something.
Answer: 0.0170
Step-by-step explanation:
Given : The mean amount purchased by a typical customer at Churchill’s Grocery Store is $23.50, with a standard deviation of $5.00.
i.e. 

We assume the distribution of amounts purchased follows the normal distribution.
Sample size : n=50
Let
be the sample mean.
Formula : 
Then, the probability that the sample mean is at least $25.00 will be :-

Hence, the likelihood the sample mean is at least $25.00= 0.0170
Answer: 3
Step-by-step explanation: Half of 5 is 2.5 so 3 2/5 will be estimated to a 3 1/2 and 5/8 is very close to 4 which is half of 8. so 5/8 will be estimated to 1/2! Both of them subtracted is gonna be 3 because 1/2 - 1/2 is 0!
Have a great day!
Answer:

Step-by-step explanation:
Given



Required
Area of triangle
This is calculated as:

This gives:



--- approximated