Answer:
x=38
Step-by-step explanation:
Vertically opposite angles are equal, therefore equate the 2 angles opposite each other.
2x+5=3x-33
2x-3x= -33-5
-x= -38
x=38
Answer:
37-16 Subtract the total of gummy bears(37) she ate by 16
=21.
21x3. Then subtract 21 by 3 because of 1/3
=63
Check your work:
63/3
=21
21+16
=37
Step-by-step explanation:
Would you mind taking a picture of your problem so you may receive help?
Answer: The average rate of change is ![\frac{1}{2}](https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7B2%7D)
Step-by-step explanation:
The points (1, 2); (2, 2.5); (3, 3); (4, 3.5) and (5, 4) belong to the line shown in the graph attached.
The average rate of change for the sequence is the slope and you can calculate it with the formula:
![m=\frac{y_2-y_1}{x_2-x_1}](https://tex.z-dn.net/?f=m%3D%5Cfrac%7By_2-y_1%7D%7Bx_2-x_1%7D)
Then, choose two points of the line and substitute them into
:
Let's choose the point (1,2) and the point (2,2.5). Then:
![m=\frac{y_2-y_1}{x_2-x_1}](https://tex.z-dn.net/?f=m%3D%5Cfrac%7By_2-y_1%7D%7Bx_2-x_1%7D)
![m=\frac{2.5-2}{2-1}\\\\m=\frac{1}{2}](https://tex.z-dn.net/?f=m%3D%5Cfrac%7B2.5-2%7D%7B2-1%7D%5C%5C%5C%5Cm%3D%5Cfrac%7B1%7D%7B2%7D)