A is correct.
-8, -4, 0, 2
-|-4| becomes -(4) which becomes -4.
For a:
(2400*2*PI)/60(seconds) = 80 PI RAD/Sec
For b:
arc length s= radius r * central angle(in radians)
= ((80*pi*7.5)/(2*pi)
=25
Answer:
THe HCF is 4 and the LCM is 24. The sum of 24 and 4 is 28. The answer is 28.
Step-by-step explanation:
HCF:
8: 1, 2, 4, 8
12: 1, 2, 3, 4, 6, 12.
LCM:
8: 8, 16, 24, 32, 40
12: 12, 24, 36, 48
Answer: 42 in all, 14 of each.
Step-by-step explanation
The color with the least amount of balloons is orange with 14. this means to have an equal amount of balloons for each color, you would need 14 of each color.
Answer:
a) Given
b) Given
c) Definition of Supplementary Angles
d) Same-side Interior Angles Theorem
e) Converse of the Same-side Interior Angles Theorem
Step-by-step explanation:
A flow proof is a way of organizing our thoughts and logical deductions about values in a math situation. We make statements and list underneath the reasons these statements are true. Reasons should include math theorems and definitions or any information that is "given" to us in the problem by being written there in it. We can see that a and b were both "given" in the problem.
We can add 40 and 140=180. This is the definition of supplementary angles. We also recognize by their positioning that they are on the same side of the transversal within what appears to be parallel lines. This is Same side interior Anges Theorem. FInally, because this theorem can be applied then the angles must be parallel. This is called the Converse of the Same Side Interioir Angle Theorem
