The answer is x=90, y=43. For any and all triangles, their angles must add up to 189 degrees. Since we know that C's degree is 47, we just have to then look at our choices and see which would equal 180. Also x is clearly a 90 degree angle because it is a right angle. That's one way to narrow down the choices quick.
You divide circumference by 3.14 to find the diameter
Divide the diameter by 2 to get the radius
Use the formula for area with the radius that you just found and you should get your answer
Answer:
77
Step-by-step explanation:
2+3+5+7+11+13+17+19=77
Antoine sleep 8 hours in a day
Answer:
4
Step-by-step explanation:
The left side of the equation can be factored as the difference of squares:
(a -b)(a +b) = 105
The right side of the equation can be factored to 4 different pairs of factors:
105 = 1·105 = 3·35 = 5·21 = 7·15
For each of the factor pairs, we can match factors to get, for example, ...
a -b = 1
a +b = 105
The solution to this is a = (105 +1)/2 = 53, b = (105 -1)/2 = 52. Thus, we have ...
(a, b) = (53, 52)
For the other factor pairs, the solutions are ...
(a, b) = (19, 16), (13, 8), (11, 4)
There are a total of 4 positive integer solutions.