Answer:
(-2/3, -23/3)
General Formulas and Concepts:
<u>Pre-Algebra</u>
Order of Operations: BPEMDAS
- Brackets
- Parenthesis
- Exponents
- Multiplication
- Division
- Addition
- Subtraction
Equality Properties
<u>Algebra I</u>
- Solving systems of equations using substitution/elimination
Step-by-step explanation:
<u>Step 1: Define Systems</u>
-4p + q = -5
p - q = 7
<u>Step 2: Rewrite Systems</u>
p - q = 7
- Add <em>q</em> on both sides: p = q + 7
<u>Step 3: Redefine Systems</u>
-4p + q = -5
p = q + 7
<u>Step 4: Solve for </u><em><u>q</u></em>
<em>Substitution</em>
- Substitute in <em>p</em>: -4(q + 7) + q = -5
- Distribute -4: -4q - 28 + q = -5
- Combine like terms: -3q - 28 = -5
- Isolate <em>q </em>term: -3q = 23
- Isolate <em>q</em>: q = -23/3
<u>Step 5: Solve for </u><em><u>p</u></em>
- Define equation: p - q = 7
- Substitute in <em>q</em>: p - (-23/3) = 7
- Simplify: p + 23/3 = 7
- Isolate <em>p</em>: p = -2/3
Answer:
15 degrees
Step-by-step explanation:
ALL of the angles in the 12 sided polygon will be equal to 150 degrees. You already have Q which is 150 degrees. If you do know that angles in a triangle add up to 180 degrees then you should subtract the angle Q (150 degrees) from 180 and you should get 30 degrees left. This is the total angle of angles P and R. As it is a regular shape, the angles should be equal to each other. This means that both of them would be equal to 15 degrees.
This means angle PRQ is 15 degrees.
Answer:
n = 13
Step-by-step explanation:
24 = 3 (n-5)
3n - 15 = 24
3n = 24 +15
3n = 39
n = 39/3
n = 13
A number decreased by seven
Answer:
The answer would be -9 and -3 which would be B and D
Step-by-step explanation: