Answer:
5
Step-by-step explanation:
3x=2x+5
3x-2x=5
x=5
Answer: x=5
Answer:
The corresponding side in the smaller figure is 9 cm
Step-by-step explanation:
Notice that you can use proportions to solve this problem:
The ratio from large image to smaller is: Larger/smaller = 4/3.
Therefore use this type of proportions to find the length of the corresponding side to 12 cm in the smaller figure:

Answer:

Step-by-step explanation:
Given expression:

Factor out common term
:

Factor 
Rearrange:

Factor pairs of terms:

Factor out common term (2x - 1):

Final solution:

log10 1000 = 3 or log 1000 = 3
Answer:
V = 310.5 cm³
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 Prism Formula: V = lwh
- <em>l</em> is length
- <em>w</em> is width
- <em>h</em> is height
Step-by-step explanation:
<u>Step 1: Define</u>
<em>Identify variables</em>
<em>l</em> = 13.8 cm
<em>w</em> = 4.5 cm
<em>h</em> = 5 cm
<u>Step 2: Solve for </u><em><u>V</u></em>
- Substitute in variables [Volume of a Prism Formula]: V = (13.8 cm)(4.5 cm)(5 cm)
- Multiply: V = (62.1 cm²)(5 cm)
- Multiply: V = 310.5 cm³