If the larger angle is x and the smaller angle is y, y=(1/2)x+30 since it's 30 more than 1/2 of it. In addition, x+y=180 since they are supplementary. Plugging y=(1/2)x+30 into that, we get x+x/2+30=180=1.5x+30. Subtracting 30 from both sides, we get 1.5x=150. Next, we can divide both sides by 1.5 to get x=100 and y=(1/2)*100+30=50+30=80
Answer:
x=64
Step-by-step explanation:
Both the semicircle that says 180, and the right angle sign in the image serve to support the idea that all parts of the figure equal 90
Therefore, it is safe to say that you need to subtract 26 from 90 in order to solve for x.
90-26 = 64
Answer:

Step-by-step explanation:
To find the average rate of change of a function over a given interval, basically you need to find the slope. The mathematical definition of the slope is very similar to the one we use every day. In mathematics, the slope is the relationship between the vertical and horizontal changes between two points on a surface or a line. In this sense, the slope can be found using the following expression:

So, the average rate of change of:

Over the interval 
Is:


Therefore, the average rate of change of this function over that interval is 3.
Answer:
What is the average rate of change from x = −4 to x = 1? x= -4 x + 5
Answer:
3.33 or 3 1/3
Step-by-step explanation:
You're correct to multiply by 4.
Your answer will be 10/3
Just make it a mixed number: 3 1/3
3.33 is 10/3 as a decimal.