Check out the attached image. I drew what I think your book is showing. The figure on the left is triangle ABC without any extended segments. The figure on the right has segment AB extended shown in red. This forms the exterior angle x
The rule that connects x, y and z together is the remote interior angle theorem. It says that adding two interior angles is going to be equal to the exterior angle that is not touching either interior angle. The "remote" part means "far away" so just think of the two angles that are furthest way or not touching the exterior angle in question.
In terms of algebra, the rule is
x+y = z
Answer:
Step-by-step explanation:
First you do the parentheses so the -3 x 8n= -24 and -3 x -5= 15
so it will look like this. -24n+15-2n=8n-21
Now combine like terms the -24n-2n.
-26n+15=8n-21 now subtract 8n now it will look like this
-34n+15=-21 now -15 from -21
-34n=-36
now if you want n by its self divide -34 and -36
Answer:
The correct option is;
C. 52.2 × 4.4 × 2 + 47.8 × 4.4 × 2
Step-by-step explanation:
The area of the square frame is the area of the inner square subtracted from the area of the outer square
Which gives;
52.2² - 47.8² = 440
Therefore;
Option A. 52.2² - 47.8² is a correct way of finding the area of the square frame
Option B. 2 × ((52.2×2.2) + (47.8×2.2)) = 440, is a correct way of finding the area of the square frame
Option C. 52.2 × 4.4 × 2 + 47.8 × 4.4 × 2 = 880, is not a correct way of finding the area of the square frame
The error is the thickness is 2.2 not 4.4
Option D. 100×(52.2 - 47.8) = (52.2 + 47.8) × (52.2 - 47.8) = 52.2² - 47.8² = 440, is a correct way of finding the area of the square frame
Answer:
-11
Step-by-step explanation:
You can factor -80 as

So, we have

The square root of a product is the product of the square roots:

Since
and
, we have
