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Answer: C) 70 degrees</h3>
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Explanation:
We have n = 6 sides, so the interior angles must add to 180(n-2) = 180(6-2) = 720 degrees
Lets add up the angles, set the sum equal to 720 and solve for x
x+2x+115+2x+115+2x = 720
7x+230 = 720
7x = 720-230
7x = 490
x = 490/7
x = 70
This makes angle 2x = 2*70 = 140 degrees
We see that x = 70 is the smallest angle, so that's why C is the answer.
Probably kg as kg is more commonly used in heavy things. or Pounds
A mixed number is a combination of a whole number and a fraction. The fraction 9/2 is equal to 4.5. So you would have to find a mixed number in between 4.5 and 5. You could do this by turning 5 into a mixed number, which would be 10/2.
So now you have to find a mixed number in between 9/2 and 10/2. The best way to do this is multiply both numbers so that you can get a wider range of numbers. You would not be changing the end result, you would only be changing the size of the fraction.
I would multiply both mixed numbers by 2, which would get you 18/4 and 20/4. That would mean that a number in between these two mixed numbers is 19/4. (which would simplify to 4.75)
Since this is an isosceles triangle (indicated by the two tick marks on the sides), we know that the base angles are congruent, and we therefore know that x = 30 degrees.
Since interior angles of a triangle always add to equal 180 degrees, we can find y using the following equation:
180 = 30 + 30 + y
180 = 60 + y
120 = y
We can further deduce that z also equals 24, since, as stated before, the two sides with the tick marks are congruent.
Answer:
x = 30 degrees
y = 120 degrees
z = 24
Use Pythagorean’s Theorem. a^2 + b^2=c^2.
a^2 + 35^2 = 37^2
a^2 + 1225 = 1369 then subtract 1225 from both sides.
a^2 = 144 then find the square root of both sides
a = 12