Answer:
1. rate = 30, base = 40, percentage = 12
2. rate = 6, base = 24, percentage = 25
3. rate = 16, base = 64, percentage = 25
4. rate = 4, base = 50, percentage = 20
5. rate = 75, base = 80, percentage = 60
Step-by-step explanation:
Answer:
Step-by-step explanation:
Perpendicular lines will have slopes that are the multiplicative additive inverse of each other: a line with slope 3/4 is perpendicular to a line with slope -4/3, for example. You need a line that is perpendicular to a line with slope -2 (reading that from the -2 in the -2x portion of the given equation, which is written in slope-intercept form), so your new line must have slope +1/2.
With the slope and a point, we can come up with an equation using this formula:
y - y-coordinate = slope (x - x-coordinate)
So we have y - (-2) = 1/2 (x - 4).
Simplify the equation: y + 2 = 1/2 x - 2
Subtract 2 from both sides: y + 2 - 2 = 1/2 x - 2 - 2
Simplify: y = 1/2 x - 4.
Answer:
x = q + 3
General Formulas and Concepts:
<u>Pre-Algebra</u>
Order of Operations: BPEMDAS
- Brackets
- Parenthesis
- Exponents
- Multiplication
- Division
- Addition
- Subtraction
Equality Properties
Step-by-step explanation:
<u>Step 1: Define Equation</u>
x - 3 = q
<u>Step 2: Solve for </u><em><u>x</u></em>
- Add 3 to both sides: x = q + 3
#3) since angle ABC is 115 degrees, to find EBC you simply have to subtract 115 from 90 and the answer is 25 degrees.
#4)DGJ would be 30 degrees because you take 70 minus 40.
#5) a 90 degree angle.
M< 6 = m< 7 (vertical angles)
11x + 8 = <span>12x – 4
12x - 11x = 8 + 4
x = 12
so
m< 6 = </span>11x + 8
m< 6 = 11(12) + 8
m< 6 = 132 + 8
m< 6 = 140
m<4 = 180 - m<6
m<4 = 180 - 140
m<4 = 40
answer
<span>m<4 = 40</span>
