BE is congruent to overline CF since they are altitudes of the same trapezoid(S).
AB is congruent to overline CD (Given)
AE is congruent to overline FD by the Hypotenuse Leg Theorem.
triangle ABC is congruent to triangle DCF (SSS Triangle Congruence)
angle A is congruent to angle D since corresponding parts of congruent triangles are congruent.
Smaller Number = X
5x - 23 = Larger Number
X + (5x - 23) = 61
6x - 23 = 61
6x = 84
X = 14
Think of 6y as
y + y + y + y + y + y
Now subtract a y from that.
y + y + y + y + y + y - y = y + y + y + y + y = 5y
To express sin O as a fraction in simplest term is 5/6
<h3>
How to determine the expression</h3>
Using the formula:
Sin O = opposite/ hypotenuse
Where opposite = The side directly opposite the angle
hypotenuse = The longest side of the triangle
Sin O = 5 / 6
Therefore, to express sin O as a fraction in simplest term is 5/6
Learn more about the trigonometry here:
brainly.com/question/7331447
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Answer:
1) Ben, 2)
, 3)
, 4) 
Step-by-step explanation:
1) Ben has a higher rate of memorization, since the coefficient of the second power is lesser than the one from Alice.
2) The number of words can be estimated by integrating the function:
Alice


Ben




3) The average amount of words per minute is:


4) The average amount of words per minute is:

