Answer: To determine to measure of the unknown angle, be sure to use the total sum of 180°. If two angles are given, add them together and then subtract from 180°. If two angles are the same and unknown, subtract the known angle from 180° and then divide by 2.
Step-by-step explanation:
If angle D is congruent to angle E, then the triangle DFE is an isosceles triangle (look at the picture).
Therefore DF ≅ EF.
DE = x + 4, EF = 4x - 8, DF = 7x - 35
The equation:
7x - 35 = 4x - 8 <em>add 35 to both sides</em>
7x = 4x + 27 <em>subtract 4x from both sides</em>
3x = 27 <em>divide both sides by 3</em>
x = 9
DE = x + 4 → DE = 9 + 4 = 13
EF = 4x - 8 → EF = 4(9) - 8 = 36 - 8 = 28
DF = 7x - 35 → DF = 7(9) - 35 = 63 - 35 = 28
<h3>Answer:</h3><h3>x = 9, DE = 13, EF = 28, DF = 28.</h3>
Answer:
a. Z-test of a population mean.
Step-by-step explanation:
The current owner claims that over the past 5 years, the average daily revenue was $675 with a standard deviation of $75.
This means that we have a large sample, which means that we can consider this to be the standard deviation for the population, which eliminates the t-test, leaving options a and c.
Population mean or proportion?
Mean, as a proportion is a value between 0 and 1, while average revenue may have lots of possible values. So the answer is given by option A.
Answer:
12
Step-by-step explanation:
With PEMDAS you could know to do parentheses FIRST
6 x (10 - 2^3)
6 x (2)
12
