Answer:
first angle: 27 degrees
second angle: 135 degrees
third angle: 18 degrees
Step-by-step explanation:
Represent each angle with a variable x and sum them to 180 degrees, the total angle measure of a triangle. So...
first angle: x
second angle: 5x
third angle: 2x/3
x+5x+2x/3=180 Combine like terms
6x+2x/3=180 Change the 6x terms to have a denominator of 3
18x/3+2x/3=180 Combine like terms
20x/3=180 Cross multiply to solve for x
20x=540 so x=27
Now plug in to get angles:
first angle: 27
second angle: 135
third angle: 18
Check: 27+135+18=180
The right triangle has legs of x and 2.5 where x is the height up the wall that the ladder will reach. The length of the ladder is the hypotenuse of the right triangle.
According to the Pythagorean Theorem, x^2 + 2.5^2 = 12^2
x = 11.736 approx To the nearest tenth that is 11.7.
Answer: all of them except III
Step-by-step explanation:
Choice A is the answer which is the point (1,-1)
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How I got this answer:
Plug each point into the inequality. If you get a true statement after simplifying, then that point is in the solution set and therefore a solution. Otherwise, it's not a solution.
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checking choice A
plug in (x,y) = (1,-1)



This is true because -3 is equal to itself. So this is the answer.
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checking choice B
plug in (x,y) = (2,4)



This is false because 0 is not to the left of -3, nor is 0 equal to -3. We can cross this off the list.
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checking choice C
plug in (x,y) = (-2,3)



This is false because 7 is not to the left of -3, nor is 7 equal to -3. We can cross this off the list.
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checking choice D
plug in (x,y) = (3,4)



This is false because -2 is not to the left of -3, nor is -2 equal to -3. We can cross this off the list.
Answer:
choice A) circumference = 31.4 ft
Step-by-step explanation:
circumference = 3.14(10)
circumference = 31.4 ft