Answer: z=16
Step-by-step explanation:
Angles on a straight line add up to 180.
As AB is a straight line we can use that to help us find z.
So you would do 68+85+11=164 (I got the 11 from the angle trapped between like C and F as opposite angles are the same).
Then you would do 180-164=16
So z=16
Hope this helps :)
Answer:
a. 3
Step-by-step explanation:
We can get to know if a number is divisible by 3 if after adding all the digits of that number we get a number which is completely divisible by 3 or we can say the number appears in the table of 3.
For example: In the given number if we will add all the digits the we will get 21 and we all know that 21 is divisible by 3.
10,534,341 = 1 + 0 + 5 + 3 + 4 + 3 + 4 + 1 = 21
21 = 21/3 = 7
Other options are incorrect.
Divisibility rule for 2 : A number is said to be divisible by 2 if it's ones place ends in 0, 2, 4, 6 or 8 i.e. an even number. The given number does not satisfy this condition because it ends in 1 which is an odd number.
Divisibility rule for 9 : A number is said to be divisible by 9 if after adding all the digits of that number we get a number which is completely divisible by 9. Since the sum total of the given number is 21 which is not completely divisible by 9 we can easily infer that 9 is not the answer for this question.
Answer:
The missing value y=12.5 and we have (5,12.5)
Step-by-step explanation:
The formula used for direct variation is:

We need to find missing value (2,5)(5,y)
First we will find k, and then y
We have x=2, y=5
Find k:

Now, we cam find missing value in (5,y)
We have x=5, k=2.5 and y=?

So, the missing value y=12.5 and we have (5,12.5)
There are 9 long distance male runners and 5 long distance female runners. This makes a total of 9+5 = 14 long distance runners.
Out of this total of 14 long distance runners, there are 9 males. So the probability as a fraction is 9/14
If you need the answer in decimal form, then use a calculator to get 9/14 = 0.642857 which is approximate.
Depending on how heavy the package is, you should take the Fed Ex if the package is heavy, and the UPS for something that is small