Because ABCD is a rectangle, the length of CD is 12 cm.
We need to determine the length of DE. If we can do that, then the sum of the lengths of CD and DE represents the unknown: the length of CE.
To find the length of CE, we have to "solve" the upper triangle.
Here's an outline of what to do:
1. Show that BC=AD and find the length.
2. Note that angle CAD is 60 degrees. Why?
3. Note that angle EAD is 30 degrees. Why?
4. Find the length of ED
5. Add ED and DC, that is, ED + 12 cm. This is your answer.
Please ask questions if need be.
F(g(x)) = [(-7x-8)/(x-1) - 8} / [(-7x - 8)/(x-1) + 7] =
[(-7x - 8 - 8(x-1)) / (x-1)] / [(-7x - 8 + 7(x-1)) / (x-1)] = (-15x) / (-15) = x.
g(f(x)) = [-7*(x-8)/(x+7) - 8] / [(x-8)/(x+7) - 1] =
[(-7x + 56 -8*(x+7)) / (x+7)] / [(x - 8 - (x + 7)) / (x+7)] = (-15x) / (-15) = x.
So since f(g(x)) = g(f(x)) = x we can conclude that f and g are inverses.
Answer:
Step-by-step explanation:
660
Answer: x+6>84
6 greater than x ---> x+6
greater than 84-------> >84
Hopefully this helped!
Answer:
8
Step-by-step explanation:
Compatible numbers are defined as the numbers which are very close to the numbers that they are replacing that divides evenly into each other.
In the context, we have to estimate the quotient using the compatible numbers in order to estimate 245 divided by 3.
So, estimating 245 as 240 and 3 as 30.
Here, 240 is very close to 245 and 30 is close to 3. So the quotient is the result when we divide 240 by 30 and it divides evenly into 240.
We first divide the non zero parts of each number i.e. 24 by 3 to get the first part of the estimate.
Then we add on the zero if there were left in the problem to get your estimate.
Therefore,
240 / 30 = 8
So here, the quotient is estimated as 8.
