Answer:
29
Step-by-step explanation:
11
- 4
Take nine out - square root of 9 is 3
= 3 x 11
- 4
= 33
- 4
= 29
can not be simplified any more
Hope that helped!!! k
OL is perpendicular to ON, which means that there is a 90 degree angle being created between these two line segments. So, angle LON is equal to 90 degrees. Because LON is a 90 degree angle and we have two angles within it, those two angles are complimentary. We can add LOM and MON together and they will equal 90 degrees.
3x - 15 + 5x - 23 = 90
8x - 38 = 90
8x = 128
x = 16 degrees
Angle MON = 5x - 23
5(16) - 23 = 57 degrees
Angle MON = 57 degrees
Hope this helps!! :)
Answer:
C. 
Step-by-step explanation:
In order to find the slope knowing two points, use the slope formula
.
and
represent the x and y values of one point the line intersects, and
and
represent the x and y values of another point the line intersects.
Knowing this, use the points (-4, -4) and (6, 4) for the formula. Substitute -4 for
, -4 for
, 6 for
, and 4 for
. Then, simplify:

Thus,
is the slope of the line.
Yes, because the theather surveyed random sample.
do u need an explanation?
You want to multiply two consecutive numbers, and see when you get a multiple of three.
Since two consecutive numbers share no divisors (except 1), either n or n+1 must be a multiple of 3.
So, your experiments succeeds if n is itself a muliple of three, or if lies immediately before one. So, 2 numbers out of 3 are ok.
Let me try to visualize the situation: I'll list some integers. Below, I'll write if they are multiple of three (M) or not (N). Above, I will write if they will cause the experiment to succeed (S), i.e. n(n+1) will be dibisible by 3, or to fail (F), i.e. n(n+1) will not be a multiple of three. We have

So, since there are exactly 99 numbers between 1 and 99, and 2/3 of the numbers work, the probability that you will choose a number n such that n(n+1) is divisible by 3 is 2/3.