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:
See below
Step-by-step explanation:
I believe that you only had to do letters F, H, and J. In that case, let's go over each one!
F: For isolating
, we need to get rid of the 1/2 first. Let's multiply each side by 2:
After this, we just subtract 
from each side to get 
. Dark Blue is correct! Let's now plug in those numbers below:
G: Let's isolate the vw^2 on one side by subtracting y from each side:
Let's now divide each side by v, then put each side under a square root to get our final answer:
Orange is correct! Again, let's solve the problem underneath:
w=
H: This one has some stuff that we haven't worked with quite yet (like terms), but our approach is the same: isolate c on one side of the equation.
Purple is correct! Let's solve the problem:
Answer:
24/25
Step-by-step explanation:
Please see the attached image.
The cosine of an angle is the adjacent side relative to that angle over the hypotenuse.
Answer: 24/25
Answer:
(-6, 6)
Step-by-step explanation:
The coordinates of B to start with is
(-2, 2)
To dilate this by a factor of 3....
-2 * 3 = -6
2 * 3 = 6
The new coordinates of B' would be
(-6, 6)
A few things to know:
- The number 3 is called a "<u>scale factor</u>"
- Dilation means we are multiplying all the (X, Y)'s by the scale factor
- If the scale factor is <u>greater than 1</u>, the size of the shape overall increases
- If the scale factor is <u>less than 1</u>, the size of the shape overall decreases
- If the scale factor is <u>negative</u>, the shape size stays the same. The shape just rotates 180 degrees and moves to the opposite quadrant.
