Answer:

Step-by-step explanation:
The opposite angles in a quadrilateral theorem states that when a quadrilateral is inscribed in a circle, the angles that are opposite each other are supplementary, their degree measures add up to 180 degrees. One can apply this here by using the sum of (<C) and (<A) to find the measure of the parameter (z). Then one can substitute in the value of (z) to find the measure of (<B). Finally, one can use the opposite angles in a quadrilateral theorem to find the measure of angle (<D) by using the sum of (<B) and (D).
Use the opposite angles in an inscribed quadrialteral theorem,
<A + <C = 180
Substitute,
14x - 7 + 8z = 180
Simplify,
22z - 7 = 180
Inverse operations,
22z = 187
z = 
Simplify,
z = 
Now substitute the value of (z) into the expression given for the measure of angle (<B)
<B = 10z
<B = 10(
)
Simplify,
<B = 85
Use the opposite angles in an inscribed quadrilateral theorem to find the measure of (<D)
<B + <D = 180
Substitute,
85 + <D = 180
Inverse operations,
<D = 95
Answer:
T = 91
Step-by-step explanation:
Simplifying
T + -15 = 76
Reorder the terms:
-15 + T = 76
Solving
-15 + T = 76
Solving for variable 'T'.
Move all terms containing T to the left, all other terms to the right.
Add '15' to each side of the equation.
-15 + 15 + T = 76 + 15
Combine like terms: -15 + 15 = 0
0 + T = 76 + 15
T = 76 + 15
Combine like terms: 76 + 15 = 91
T = 91
Simplifying
T = 91
If the population mean
is 23.5 grams with a <span>standard deviation of
3.4 grams, then the margin of error of the sample mean is </span><span>0.097 grams. The correct answer between all the
choices given is the first choice or letter A. I am hoping that this answer has
satisfied your query about this specific question.</span>
<span> </span>