Answer:
The angles are supplementary. X = 31
Step-by-step explanation:
The angles sum to equal 180 degrees, menaing they are supplementary. Add the degrees of each side 3x + 25 + 2x = 180 and solve for x. X should equal 31.
Answer:
a=1
Step-by-step explanation:
The answer to this problem is 1. This is the answer because using PEMDAS, you would first have to distribute -3.
So: 9a+ -6a+12=15
Combine like terms:
3a+12=15
Subtract 12 on each side. 3a= 3
Divide 3 on each side.
a=1
Hope this helps!! :D
Answer: A basic theorem for finding the third length of a right angle triangle is the Pythagoras Theorem.
In a right angle triangle, the slant and usually longest side is called the Hypotenuse while the other two sides are Opposite and Adjacent.
The Pythagoras Theorem States:
Step-by-step explanation:
If for example, we are given the other two sides as 3 and 4 respectively,
Using
Hypotenuse = 
=5
These set of numbers (3,4,5) in this that satisfies the theorem are called Pythagorean Triples
Answer:
yes $56 is correct
Step-by-step explanation:
The 3 part of the ratio relates to $42 , then
$42 ÷ 3 = $14 ← value of 1 part of the ratio , then
4 parts = 4 × $14 = $56
Answer:
P = a(61a - 36b + 50c) + 10b² + 89c² - 16bc
General Formulas and Concepts:
<u>Pre-Algebra</u>
Order of Operations: BPEMDAS
- Brackets
- Parenthesis
- Exponents
- Multiplication
- Division
- Addition
- Subtraction
<u>Algebra I</u>
- Terms/Coefficients
- Expand by FOIL (First Outside Inside Last)
- Factoring
<u>Geometry</u>
Perimeter Formula [Triangle]: P = L₁ + L₂ + L₃
- L₁ is one side
- L₂ is another side
- L₃ is the 3rd side
Step-by-step explanation:
<u>Step 1: Define</u>
L₁ = (6a - 3b)(6a - 3b)
L₂ = (5a + 5c)(5a + 5c)
L₃ = (8c - b)(8c - b)
<u>Step 2: Find Perimeter</u>
- Substitute in variables [Perimeter - Triangle]: P = (6a - 3b)² + (5a + 5c)² + (8c - b)²
- Expand [FOIL]: P = (36a² - 36ab + 9b²) + (25a² + 50ac + 25c²) + (b² - 16bc + 64c²)
- Combine like terms (a²): P = 61a² - 36ab + 9b² + 50ac + 25c² + b² - 16bc + 64c²
- Combine like terms (b²): P = 61a² + 10b² - 36ab + 50ac + 25c² - 16bc + 64c²
- Combine like terms (c²): P = 61a² + 10b² + 89c² - 36ab + 50ac - 16bc
- Rearrange variables: P = 61a² - 36ab + 50ac + 10b² + 89c² - 16bc
- Factor: P = a(61a - 36b + 50c) + 10b² + 89c² - 16bc
