The perimeter is the sum of all sides. Start by listing out what the sides are given to be. Assign a variable to anything unknown.
1st side = x
2nd side = y
3rd side = z
Given: 1st side is 5 less than 2nd side.
x = y - 5
Given: 3rd side is 2 less that 1st side. But we want everything in only one variable to solve. So use the first given 1st side = y - 5
z = y - 5 - 2
z = y - 7
Sum of sides
(y - 5) + y + ( y - 7) = 42
3y - 12 = 42
3y = 42 + 12
3y = 54
y = 54/3
y = 18
Remember the sides, We have
1st, x = y - 5
= 18 - 5
= 13
2nd, y = y
= 18
3rd, z = y - 7
= 18 - 7
= 11
Answer:
x ≈ 9.4
General Formulas and Concepts:
<u>Pre-Algebra</u>
Order of Operations: BPEMDAS
- Brackets
- Parenthesis
- Exponents
- Multiplication
- Division
- Addition
- Subtraction
Equality Properties
<u>Trigonometry</u>
- [Right Triangles Only] Pythagorean Theorem: a² + b² = c²
Step-by-step explanation:
<u>Step 1: Define</u>
We are given a right triangle. We can use PT to find the missing length.
<u>Step 2: Identify Variables</u>
Leg <em>a</em> = 9
Leg <em>b</em> = <em>x</em>
Hypotenuse <em>c</em> = 13
<u>Step 3: Solve for </u><em><u>x</u></em>
- Substitute [PT]: 9² + x² = 13²
- Isolate <em>x</em> term: x² = 13² - 9²
- Exponents: x² = 169 - 81
- Subtract: x² = 88
- Isolate <em>x</em>: x = 2√22
- Evaluate: x = 9.38083
- Round: x ≈ 9.4
The answer for 1113 divided by 14 is 79.5
Step-by-step explanation: