<h2>
<u>Explana</u><u>tion</u><u>:</u></h2>
The above figures shows scaled copy of a Polygon. Polygon in the sense, means a figure which is closed and made up of straight lines. It can be of n sides where n = 1,2,3,4.....
- Scaled copies means polygons are similar to each other, it means they are having corresponding angles are equal and corresponding sides are proportional.
So, Polygon A is similar to Polygon B, it means their corresponding angles are equal and corresponding sides are proportional.
<h2>
<u>Calculation</u><u>:</u></h2>
According to our above concepts:
- Corresponding angles are equal, So if we compare the corresponding parts, then ? = <u>53°</u><u>(</u><u>Answer</u><u>)</u>
Here, we are not asked to find any other side of angle. But lemme show you how to determine the sides. The Corresponding sides are proportional.
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Please include the instructions; I assume your job is to find the value of x.
<span>1/(x+1) - 1/(x+2) = 1/2 would better be written as
1 1 1
</span><span>-------- - ------------ = ----
x+1 x+2 2
Identify the LCD. It is (x+1)(x+2)(2). Mult. all 3 terms of the equation by this LCD:
2(x+2) - 2(x+1) = 2(x+1)(x+2)
We can factor out the 2 from all terms:
x+2 - x - 1 = x^2 + 3x + 2
Let's move all terms from the left to the right side:
0 = x^2 + 3x + 2 - x - 2 + x + 1
Then x^2 + 3x + 1 = 0. This is a quadratic with a=1, b=3 and c=1.
What is x?
-3 plus or minus sqrt( 9-4(1)(1) ) -3 plus or minus sqrt(5)
x = --------------------------------------------- = ---------------------------------
2 2
I rather expected to obtain an integer value for x.
Why don't you give this problem a try yourself? Suggestion: First mult. every term by 2. This will give you:
2 2
------- - ------- = 1 and this may be slightly easier to work with. Please
x+1 x+2 give it a try: try to find x that satisfies this equation.
Important: note that x cannot equal either -1 or -2.
</span>
I'm not sure what you want but the slope for each graph from left to right is 5, -7/8, -2.
The equation of each graph from left to right in slope intercept form is
y = 5x + 2, y = -7/8x - 11/8, y = -2x + 6.