we know that
The sum of the internal angles in the triangle must be 
degrees
see the attached figure with letters to better understand the problem
Step 
<u>Find the measure of the angle x</u>
In the triangle ABC
solve for x
therefore
<u>the answer Part a) is</u>
the measure of angle x is 
Step 
<u>Find the measure of the angle z</u>
we know that
--------> by supplementary angles
substitute the value of x
therefore
<u>the answer Part b) is</u>
the measure of angle z is 
Step 
<u>Find the measure of the angle y</u>
In the triangle ACD
solve for y
therefore
<u>the answer Part c) is</u>
the measure of angle y is 
Answer:
$9450
Step-by-step explanation:
Answer:
A = $9,450.00
A = P + I where
P (principal) = $9,000.00
I (interest) = $450.00
Calculation Steps:
First, convert R as a percent to r as a decimal
r = R/100
r = 5/100
r = 0.05 rate per year,
Then solve the equation for A
A = P(1 + r/n)nt
A = 9,000.00(1 + 0.05/1)(1)(1)
A = 9,000.00(1 + 0.05)(1)
A = $9,450.00
Summary:
The total amount accrued, principal plus interest, with compound interest on a principal of $9,000.00 at a rate of 5% per year compounded 1 times per year over 1 years is $9,450.00.
Answer:
0.12
Step-by-step explanation:
Independent events are when probability of one event happening doesn't affect the probability of the other event happening.
Also,
In probability "AND" means "multiplication" and "OR" means "addition".
The question asks for probability that Nick oversleeps "AND" has pop quiz. So we need to multiply the individual probabilities (since independent, they have no affect on each other).
P(Nick oversleeps) = 0.48
P(pop quiz) = 0.25
Thus,
P(Nick oversleeps AND pop quiz) = 0.48 * 0.25 = 0.12
Answer:
34.40
Step-by-step explanation:
Use a calculator......
Answer:
D is the correct one: n=4p
