Answer:
The measure of angle 3 is 42
Answer:
x=4-√79, x=4+√79
Step-by-step explanation:
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:

Step-by-step explanation:
Given


Required
Determine 
The question is illustrated with the attached image.
So:


This gives:

It is a rectangle so its opposite sides are congruent. Because they are congruent we can set them equal to each other and solve for x.
40 = 5x + 10
30 = 5x
6 = x
So the value of x is 6.