D. 32
By paying attention to the hole number and ignoring the fraction. You can see the pattern is doubling each time. 4, 8, 16, 32.
Since BE bisects angle ABC, you know that angles ABE and EBC are congruent and have the same measure. This means
2x + 20 = 4x - 6
Solve for x:
(2x + 20) - 2x + 6 = (4x - 6) - 2x + 6
26 = 2x
26/2 = 2x/2
13 = x
Then angle ABE has measure 2*13 + 20 = 46º.
Paul surely charges 75 dollars, and then he adds 40 dollars per hours. This means that the expression for the money he asks is
where 
is the amount of money and 
is the number of hours.
Since 
can be at most 8, this is the case that generates the highest money, so if we plug 
we have
Applying the trapezium midsegment theorem, the length of XY is: 30.
<h3>What is the Trapezium Midsegment Theorem?</h3>
- Trapezium midsegment theorem states that the length of the median that joins two sides of a trapezium equals half the sum of he two bases of the trapezium.
Thus:
Let XY = x
WZ = 4/3(x)
DE = 35 (given)
Thus:
35 = 1/2(4/3x + x)
2(35) = 7x/3
70 = 7x/3
3(70) = 7x
210 = 7x
x = 30
x = XY = 30
Therefore, applying the trapezium midsegment theorem, the length of XY is: 30.
Learn more about trapezium midsegment theorem on:
brainly.com/question/4451516
