Answer:
16.5
is the rational number between them
Step-by-step explanation:
Hello!
We know that the sum of all angles in a triangle is 180 degrees. This can be represented by the following formula:
(angle 1) + (angle 2) + (angle 3) = 180
Insert all known values and variables of triangle ABC into the formula above:
30 + (80 + y) + y = 180
Simplify and combine like terms:
30 + 80 + y + y = 180
110 + 2y = 180
Now subtract 110 from both sides of the equation:
2y = 70
Divide both sides by 2:
y = 35
We have now proven that Y is equal to 35 degrees. Using the known value of Y, we can find the value of X using the same formula as above. Begin by inserting all known values and variables of triangle BCD:
y + y + x = 180
(35) + (35) + x = 180
Combine like terms:
70 + x = 180
Subtract 70 from both sides of the equation:
x = 110
We have now proven that X is equal to 110 degrees. Therefore, considering the known values of X and Y, the answer to this problem is C.
I hope this helps!
Answer:
4.95 a plus 6.55 b equals 27.95
Step-by-step explanation:
Answer: Exam A
Step-by-step explanation:
We must analyze how far are you from the mean in both cases, where the "step" that we will use to measure is the standard deviation.
In exam A, the mean is 20.5 and the standard deviation is 4.9.
If you scored a 27; then you need to see:
20.5 + 4.9 = 25.4
20.5 + 4.9 + 4.9 = 30.3
So you are within two times the standard deviation (more than the mean).
In the B exam, the mean is 1022 and the standard deviation is 214, where you scored 1209.
1022 + 214 = 1236
So in this exam, you are by one standard deviation away from the media.
With this, you can see that you did score better in exam A.
Answer: 5/12 of the whole pizza
So we start we the whole pizza = 1
Then he ate 3/8:
1 - 3/8
And then 2/3 of what was left:
2/3(1 - 3/8)
2/3 - 1/4
8/12 - 3/12
5/12
