Answer:
Option (2) is the answer.
Step-by-step explanation:
From the figure attached,
AB represents the length of Mr. Ray, ED represents the light post and the mirror was placed at point C.
Here AB = d = 6 feet
CD = w = 32 feet
BC = f = 9 feet
Since both the triangles ABC and EDC are similar, their corresponding sides will be in the same ratio.


h = 
h = 21.33 feet
h ≈ 21.3 feet
Therefore, height of the light post is 21.3 feet.
Option (2) is the answer.
Here, first we need to calculate the slope of the line,
Here, Coordinates = (-6, 2) (-1, -4)
m = y2 - y1 / x2-x1
m = 2 + 4 / -6 + 1
m = 6/-5
m = -6/5
Now, Take first coordinate: y - 2 = -6/5 (x + 6)
Second coordinate: y + 4 = -6/5 (x + 1)
In short, Your Answers would be Option C & D
Hope this helps!
The number of ways that the coach can assign the 4 positions to his 16 players would be 43, 680 ways
<h3>How to calculate the permutation</h3>
The formula for permutation is given as;
Permutation = 
n = 16
r =4
Permutation = 
Permutation = 
Permutation = 43, 680 ways
Thus, the number of ways that the coach can assign the 4 positions to his 16 players would be 43, 680 ways
Learn more about permutation here:
brainly.com/question/12468032
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The value of x is 77 cm which will make the triangles similar by SSS similarity theorem
Given length of the three sides of one triangle are 35 , 20 and 20
and length of the three sides of another triangle are x, 44,44
We need to find the values of x by using SSS Similarity theorem
We know that triangles are are similar by side - side - side similarity creation and hence the sides are in the same ratio
As both the triangles are isosceles triangles
Therefore ,
x/35 = 44/20=44/20 (Using ratio)
Solving the equation we get
x=44*35/20
x= 77
Hence the value of x is 77cm
Learn more about similarity of triangles here brainly.com/question/14285697
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Answer:
7x^2 (the first choice)
Step-by-step explanation:
7x^2
4x+3x = 7x
(4+3)x = 7x
7x
All are 7x except for the first one which is 7x^2