To find slope between two given points:
(y2-y1)/(x2-x1)
Find the difference between the first two points
12-9.5/2-1 = 2.5/1 = 2.5
14.5-12/3-2 = 2.5/1 = 2.5
17-14.5/4-3 = 2.5/1 = 2.5
The rate of change between each point is 2.5
Answer
Write an expression for the number of pencils Maggie gives to jamil.
To prove
Let us assume that the number of pencils Katie have = x
As given
Katie gives Maggie half of her pencils.

As given
Maggie keeps 5 and gives the rest to jamil.
Thus

Therefore the expression for the number of pencils Maggie gives to jamil are
.
Two angles are said to be supplementary if their sum is 180 degrees. So, if x and y are supplementary angles, the formula is

We know that one of the angles (say x) is 98. So, the equation updates to

If we want to solve for the other angle, we can simply subtract 98 from both sides to get

It's 1/3 which can = 0.3333...
Answer:
Step-by-step explanation:
∠VTY is the tangent chord angle
- Tangent chord angle is the half of the intercepted arc
∠TSV is the inscribed angle.
- Inscribed angle is the half of the intercepted arc
<u>Since both of the mentioned angles refer to same arc, they are of same value.</u>
ΔTVS is isosceles as VS = ST, therefore the opposite angles are same.
<u>The measure of angle S</u>
<u>The required angle</u>