Sit tight, this is gonna be long!! =P
Also, for this answer, I'm assuming that the 'expressway' mentioned in your question is the top horizontal line. (In fact, that must be the expressway, since there would be no other way to solve the problem)
Okay, let's get started.
For starters, GY = 16 ft. That much is given to us in the question. GY's equivalent is BX, which is 10 ft. When the angles are mirrored like they are across the 'expressway' in this problem, they do not change, so we only need to put the dimensions to scale. If we divide 10 / 16, we see that the scale-down factor is .625, or 62.5%. With this information, we can find the length of XW.
How, you ask?
Well, let me tell you.
Again, when the angles are mirrored like this, they do not change. We can see that the 90 degree angle also does not change. The length of YZ is 20 ft. To find WX, we simply need to multiply YZ by our scaling factor of 62.5%. Doing so will give us our answer of 12.5 ft.
The expressway is 12.5 feet from point W.
I hope that helped, and I _really_ hope I did that right! =P
Answer:
True.
Step-by-step explanation:
The explicit form for an arithmetic sequence is:
where 
is the first term and 
is the common difference.
The common difference here is 2 because the y's are going up by 2 while the x's are going up by 1.
Yes, the common difference is the slope.
So we have d=2.
The first term is 9.5 because that is what happens when x=1.
x is n.
y is 
.
So the answer is true.
----
You can also verify by plugging in numbers for n and see if you get the outputs mentioned in the pairs given:
Let n=1:
Let n=2:
Let n=3:
Let n=4:
Let n=5:
Let n=6:
We have confirmed that we get all 6 of the mentioned points using the equation they gave.
1) Mean= Sum of total Observation/ Total no.of observation
Mean= 42/6=7
option (b) 7
2)To calculate Median first arrange the numbers in a numerically ascending order.
Since, there are even no.of total Observation median will be the mean of two middlemost terms.
3,6,7,9,9,10
Middle terms are 7 and 9
Median= 7+9/2= 8
option(c) 8
Answer: The sum of the measures of the interior angles of a decagon (10 sided polygon) is 1,440. We found this by using the formula (n-2)(180). Thus, to find the measure of each interior angle we simply divide the sum by the number of total sides in the polygon. 1,440/10 = 144.
Step-by-step explanation: Hopefully this helps!
