Answer:
118°
Step-by-step explanation:
Supplementary angles add up to 180°.
Since the two angles are supplementary then the two angles add up to 180°. One angle measure is 62°, the other has to be 180° - 62 = 118°
Answer:
The answer is provided as a whole explanation
Step-by-step explanation:
Regrouping is the presentation of a number or decimal with its number groups. For example, we can represent 0.25 in this way:
0.25 = 0.2 + 0.05
0.25 = 2 tenth + 5 hundredth
We can also write 0.25 as:
0.25 = 0.1 + 0.15
0.25 = 1 tenth + 15 hundredth
Regrouping is handy to simplify a mathematical calculation since we know how many tenth or hundredth we have got in this case.
6a - 9ab + 4 - 6b
6a - 9ab = 3a(2 - 3b)
4 - 6b = 2(2 - 3b)
The factors are (3a + 2) and (2 - 3b).
Look at the choices.
Choice C
Answer: The three odd integers are 11, 13 and 15.
Step-by-step explanation: The first point to note is that the three unknown numbers are consecutive, which means they follow one after the other. Also we are told that the numbers are consecutive “odd integers.” This also means there is a two-digit interval between one number and the next. Hence, if the first number is A, the next number will be A + 2, and the third number will be A + 2 + 2 (that is, A + 4)
At this point we can now derive the following expressions based on the information we have been given, which is;
The sum of the first and third (A + {A + 4} )equals the sum of the second and 13 ({A + 2} + 13). Therefore we can write this out as follows;
A + {A + 4} = {A + 2} + 13
After removing brackets we now have
A + A + 4 = A + 2 + 13
2A + 4 = A + 15
By collecting like terms we now have
2A - A = 15 - 4
(Remember that when a positive value crosses to the other side of the equation it becomes negative, and vice versa)
2A - A = 15 - 4
A = 11
Hence, the three consecutive integers are 11, 13 and 15.
