1 modulo 9 is the set of numbers as follows:
(0(9) + 1), (1(9) + 1, ....)
which is:
1, 10, 19
All we have to do is divide 1000 by 9, and round down.
1000/9 = 111.111......
There are 111 numbers.
Now let us check our work.
the set is as follows:
(1,10,19, ....... (111)9 +1)
(1, 10, 19 ........ 1000)
We are within 1000.
Therefore, 111 of the 1000 smallest positive integers are congruent to 1 modulo 9.
Answer: 4.
Step-by-step explanation: In this case it is easier to imagine it on the number line: the y coordinates are the same, so the distance is only in x direction. On the positive side it is 2 2/3 to zero and on the negative, 1 1/3 to zero. Total is 1 1/3 + 2 2/3 = 4. Or the proper writing: 2 2/3 - (-1 1/3) = 4
Answer:
Wite the PM tuntipn used. D. 054/9/12, 3600,- (T-
119013
b. What mortgage amount can she borrow? $ 120,000
Step-by-step explanation:
Answer:
92°
Step-by-step explanation:
First, find the value of x.
3x + 23 = 4x (corresponding angles are congruent)
Subtract 3x from each side
23 = 4x - 3x
23 = x
x = 23
Angle ABC = 4x
Plug in the value of x
Angle ABC = 4(23)
Angle ABC = 92°
