Yes that statement is correct
The value of x is 7 and the lengths of the sides are 16, 11 and 8
<h3>How to determine the values of x and each side?</h3>
The complete question is added as an attachment
The perimeter is calculated as:
P = 3x - 5 + 2x-3 + 15 - x
Evaluate
P = 4x + 7
The perimeter is 35.
So, we have
4x + 7 = 35
This gives
4x = 28
Divide by 4
x = 7
Substitute x = 7 in 3x - 5, 2x-3 and 15 - x
3x - 5 = 3* 7 - 5 =16
2x-3 = 2* 7 - 3 = 11
15 - x= 15 - 7 = 8
Hence, the value of x is 7 and the lengths of the sides are 16, 11 and 8
Read more about perimeter at:
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Answer:
V = 8591.04 ft³
General Formulas and Concepts:
<u>Pre-Algebra</u>
Order of Operations: BPEMDAS
- Brackets
- Parenthesis
- Exponents
- Multiplication
- Division
- Addition
- Subtraction
<u>Geometry</u>
Volume of a Cylinder: V = πr²h
- V is volume
- r is radius
- h is height
Step-by-step explanation:
<u>Step 1: Identify</u>
Radius <em>r</em> = 12 ft
Height <em>h</em> = 19 ft
<u>Step 2: Find Volume</u>
- Substitute in variables [Volume of Cylinder]: V = π(12 ft)²(19 ft)
- Evaluate exponents: V = π(144 ft²)(19 ft)
- Multiply: V = 2736π ft³
- Substitute π: V = 2736(3.14) ft³
- Multiply: V = 8591.04 ft³
Answer:
Statements Reasons
1. 2x + 11 = 15 1. Given
2. 2x = 4 2. Subtraction Property of Equality
3. X = 2 3. Division Property of Equality
Step-by-step explanation:
An equation can be solved and its solution proven using algebraic theorems and properties. To create a proof, form two columns. Label one side Statements and the other Reasons.
Begin your proof listing the any information given to you. List as the reason - Given.
Then list the next step which here would be to subtract by 11 on both side. The reason is Subtraction Property of Equality. Subtraction is the inverse of addition. Inverse axiom is another acceptable reason.
Then divide both sides by 2. The reason is Division Property of Equality or Inverse axiom once again. See the proof below.
Statements Reasons
1. 2x + 11 = 15 1. Given
2. 2x = 4 2. Subtraction Property of Equality
3. X = 2 3. Division Property of Equality
Answer:
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Step-by-step explanation: