Answer:
x = 5
Step-by-step explanation:
the angles of a triangle add up to 180°
17x+13x+6x=180
36x = 180
x = 5
Length (L): w + 3 ⇒2(w + 3)
width (w): w ⇒ w - 1
Area (A) = L x w
A = (w + 3)(w)
A = w² + 3w
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A + 176 = 2(w + 3)(w - 1)
(w² + 3w) + 176 = 2(w + 3)(w - 1)
w² + 3w + 176 = 2w² + 4w - 6
3w + 176 = w² + 4w - 6
176 = w² + w - 6
0 = w² + w - 182
0 = (w - 13) (w + 14)
0 = w - 13 0 = w + 14
w = 13 w = -14
Since width cannot be negative, disregard -14
w = 13
Length (L): w + 3 = (13) + 3 = 16
Answer: width = 13 in, length = 16 in
The meaning of the question is
Let the unknown number be x
Therefore x+7=16-2x
Now 2x+x=16-7
3x=9
X=9/3
x=3
The average rate of change over the interval is 2/9
<h3>How to determine the average rate of change?</h3>
The interval is given as:
-4 ≤ x ≤ 5
From the table, we have:
f(5) = 4
f(-4) = 2
The average rate of change is then calculated as:
This gives
Evaluate
Hence, the average rate of change over the interval is 2/9
Read more about average rate of change at:
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