Answer:
The slope for this equation is
.
Step-by-step explanation:
x y
point 1: -4 -3
point 2: 3 -2
slope: ![\frac{1}{7}](https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7B7%7D)
To solve for slope here is an equation, to help: ![\frac{y^2-y^1}{x^2-x^1}](https://tex.z-dn.net/?f=%5Cfrac%7By%5E2-y%5E1%7D%7Bx%5E2-x%5E1%7D)
![\frac{y^2-y^1}{x^2-x^1} \\\\\frac{-2-(-3)}{3-(-4)} \\\\= \frac{1}{7} \\](https://tex.z-dn.net/?f=%5Cfrac%7By%5E2-y%5E1%7D%7Bx%5E2-x%5E1%7D%20%5C%5C%5C%5C%5Cfrac%7B-2-%28-3%29%7D%7B3-%28-4%29%7D%20%5C%5C%5C%5C%3D%20%5Cfrac%7B1%7D%7B7%7D%20%5C%5C)
Answer: 55
Step-by-step explanation: There is one simple theorem we need to know in order to solve for this.
Triangle Angle-Sum Property: All three angles interior angles of a triangle add up to 180°.
Thus, we could label the points A, B, and C, and set up an algebraic expression.
Let A = 27, B = 98, and C = x.
A + B + C = 180°.
Substituting A, B, and C we get:
27 + 98 + x = 180°.
Adding, we get:
125 + x = 180°
Subtracting 125 by 180, we get:
x = 55°
Thus, the angle X is 55°.
We could have simply solved this by just doing 180 - 98 - 27 = 55 in the first place, but I wanted to show you how I got such results.
Answer:
Discount: 25%
Tax: 6.5%
Step-by-step explanation:
Percentage of discount:
x/100 = 10/39.99 (what percentage is 10 of 39.99) (%/100=is/of)
= 25%
Percentage of tax:
x/100 = 1.95/29.99
= 6.5%