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
Check the picture below.
notice, the focus point is at 4,5 whilst the directrix line is at y = -3, below the focus point, meaning the parabola is vertical and opening upwards.
keeping in mind that the vertex is "p" distance from either of these fellows, then the vertex is half-way between both of them, notice in the picture, the distance from y = 5 to y = -3 is 8 units, half that is 4 units, thus the vertex 4 units from the focus or 4 units from the directrix, that puts it at (4,1), whilst "p" is 4, since the parabola is opening upwards, is a positive 4 then.

Answer:
D. 2^7
Step-by-step explanation:
2^3 x 2^4 would equal 128. So, if you do the math for all of them:
A isn't correct because it equals 16.
B isn't correct because it equals 4096.
C isn't correct because it equals 16384.
D is correct because 2^7 is 128.
Hope this helped!
S + 2l = 1372
s + l =858
s + 2l = 1372
-s - l =. - 858
l= 514 grams a large bottle
s + 514= 858
s = 344 grams a small bottle
Answer:
276 miles, $ 20.148
Step-by-step explanation:
Given:
Donald Duck's car travels in 1 gallon gas = 30 miles
Cost of 1 gallon = $ 2.19
Question asked:
Distance travel in 9.2 gallons = ?
Cost of 9.2 gallons of gas = ?
Solution:
By applying unitary method:
His car travels in 1 gallon = 30 miles
His car will travel in 9.2 gallons =
= 276 miles
Cost of 1 gallon = $ 2.19
Cost of 9.2 gallons =
= $ 20.148