The answer is D
Hope this helps
The length of the longer base is 41 ft.
<u><em>Explanation</em></u>
Lets assume, length of one base is
ft.
As, another base is 19 less than five times the length of this base, so the length of another base
The trapezoid has a height of 18 ft and area of 477 ft²
Formula for Area of trapezoid,
, where
= Two bases of trapezoid and
= height of the trapezoid.
Given in the question:
and 
We have also two bases as:
and 
So, according to the above formula...

So, length of one base is
and another base 
That means, the length of the longer base is 41 ft.
A true or false question is a question that gives you a statement, and asks whether it's true (correct) or false (wrong).
Answer:
305 degree
Step-by-step explanation:
As AD and CE are the diameters of circle P, so that they intersect each other at point P.
=> So that ∡CPA and ∡DPE are two vertical angles.
=> ∡CPA = ∡DPE = 93 degree
As we can see, ∡CPA = ∡CPB + ∡BPA =38 + ∡BPA
=> ∡BPA = ∡CPA - 38 = 93 - 38 = 55 degree
As P is the centre of the circle, so that ∡BPA is equal to the measure of the arc AB, equal to 55 degree.
In the circle P, the total measure of arc AEB and arc AB are 360 degree
=> arc AEB + arc AB = 360
=> arc AEB = 360 - arc AB = 360 - 55 = 305
So that the measure of arc AEB is 305 degree
Answer:
Step-by-step explanation:
First convert them into improper fractions:
and
. Now we add:
or
.