Answer:
Number of Ways = ₄P₄ = 24
Step-by-step explanation:
Given that there are going to be 4 dignitaries, and that they are sensitive to the order (i.e the order of the dignitaries matter), hence the total number of ways they can be arranged can be found by permutating 4 dignitaries.
i.e
Number of Ways = ₄P₄ = 24
Answer:
(5,4) and (3,4)
Step-by-step explanation:
A line segment has 2 end points which can be denoted as:
and 
When this line segment intersects at y.
This means that the coordinate on the y axis is the same at both end points
i.e.

and
becomes
and 
x1 and x2 can be any value but the y value must remain unchanged
Using the above analysis, a possible coordinate is:
and 
Note that there are as many answers as possible as long as the coordinate pair satisfy is of the form
<em> and </em>
<em />
Take for instance, another possible pair is:
and 
Answer:
m∠5 = 44°; m∠7 = 44°
Step-by-step explanation:
Angle 4 and 1 are supplementary (they make up a line) and their sum is equal to 180 degrees.
Subtracting the measure of angle 4 from 180 degrees gives the measure of angle 1. (180 - 136 = 44).
So Angle 1's measure is 44 degrees.
According to the Corresponding Angle Postulate, Angle 1 and Angle 5 are congruent. Therefore, m∠5 = 44°
According to the Vertical Angles Postulate (if two angles are vertical, they are congruent), ∠5 ≅ ∠7, meaning that m∠5 = m∠7.
So m∠7 = 44°
F(x) = (-x²+x+20) / (x+4)
-x²+x+20 | x+4
+x²+4x -x+5
\\\\ 5x+20
-5x-20
\\\\\\\\\
f(x) = (x+4)(-x+5) / (x+4)
f(x) = (-x+5)
The graph is a decreasing line, with origin from 5.
Answer:
The answer is A.
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