Answer:
When proving identities, the answer is in the explanation.
Step-by-step explanation:

I have two terms in this denominator here.
I also know that
by Pythagorean Identity.
So I don't know how comfortable you are with multiplying this denominator's conjugate on top and bottom here but that is exactly what I would do here. There will be other problems will you have to do this.

Big note here: When multiplying conjugates all you have to do is multiply fist and last. You do not need to do the whole foil. That is when you are multiplying something like
, the result is just
.
Let's do that here with our problem in the denominator.





In that last step, I apply the Pythagorean Identity I mentioned way above.
Now You have a factor of cos(y) on top and bottom, so you can cancel them out. What we are really saying is that cos(y)/cos(y)=1.

This is the desired result.
We are done.
I think its like this
each row has 6 white tiles
8 rows = 48 tiles
48 - 6 = 42
42 x 8 = 336
so 8 rows = 6 white tiles and 42 purple tiles to make 48 tiles so she will need 336 more tiles to make each 8 rows have 48 tiles
hope this helps : )
Answer:
19.95
Step-by-step explanation:
if you take 1.05 times it by 19 you get your answer

Question 1. If m∠5 = 115 degrees, find m∠1 = 115°
because they form corresponding Angle pair
Question 2. If m∠7 = 30 degrees, find m∠2 = 30°
because they form Alternate Exterior angle pair
Question 3. If m∠6 = 50 degrees, find m∠4 = 50°
because they form Alternate Interior Angle pair
Question 4. If m∠4 = 72 degrees, find m∠1 = 108°
because they form linear pair, their sum = 180°
Answer:
a) only extreme values are used in its calculation.
Step-by-step explanation:
In a data set, the range is given by the subtraction of it's highest value by it's lowest value.
The disadvantage is that it gives a high weight to extreme values, not focusing on central values. So the correct answer is given by option a