Answer:
Perimeter = (11x + 12)
Step-by-step explanation:
Since, perimeter of a polygon is represented by the sum of measures of all sides,
Perimeter of the given polygon = 3x + (x + 10) + 5x + (2x + 2)
By adding like terms of the expression,
Perimeter of the polygon = (3x + x + 5x + 2x) + (10 + 2)
= (11x + 12)
Therefore, expression for the perimeter is (11x + 12).
Start off by using the Pythagorean Theorem: a^2 + b^2 = c^2
12^2 + 35^2 = 37^2
144 + 1,225 = 1,369
1,369 = 1,369
If the left side equals the right side than it is a right triangle.
Your answer is: Yes
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I would think that all but one point would be on the line. One way to approach this problem is to find the equation of the line based upon any two points chosen at random, and then determine whether or not the other points satisfy this equation. Next time, would you please enclose the coordinates of each point inside parentheses: (2.5,14), (2.25,12), and so on, to avoid confusion.
14-12
slope of line thru 1st 2 points is m = ---------------- = 2/0.25 = 8
2.50-2.25
What is the eqn of the line: y = mx + b becomes
14 = (8)(2.5) + b; find b:
14-20 = b = -6. Then, y = 8x - 6.
Now determine whether (12,1.25) lies on this line.
Is 1.25 = 8(12) - 6? Is 1.25 = 90? No. So, unless I've made arithmetic mistakes, (1.25, 5) does not lie on the line thru (2.5,14) and (2.25,12).
Why not work this problem out yourself using my approach as a guide?
Answer:
4/3
Step-by-step explanation:
Sin(A) = opposite/hypotenuse = 12/13
Cos(A) = adjacent/hypotenuse = 5/13
Tan(A) = opposite/adjacent = 12/5