Using the Euler's formula, the number of segments in the pentagonal prism is: 15.
<h3>What is the Euler's Formula?</h3>
The Euler's formula is given as, F + V = E + 2, where:
- F = number of faces (number of regions)
- V = vertices
- E = number of edges (number of segments).
Given that the pentagonal prism has the following dimensions:
- F = 7
- V = 10
- E = number of segments = ?
Plug in the values into the Euler's formula, F + V = E + 2:
7 + 10 = E + 2
17 - 2 = E
E = 15
Therefore, using the Euler's formula, the number of segments in the pentagonal prism is: 15.
Learn more about the Euler's formula on:
brainly.com/question/1178790
Answer:
AB = 28 inches
Step-by-step explanation:
The length of LB = 14 inches
But; LB = AL
Therefore; AL = 14 inches
But; AB = AL + LB
Thus; AB = 14 inches + 14 inches
= 28 inches
Hello! :)
Answer:
Let the smallest digit, or the units' digit, be equal to x:
Tens' digit is four more, therefore:
x + 4 represents the tens' digit.
Hundreds' digit is 2 more than the tens' digit, so:
2 + (x + 4), or x + 6 represents the hundred's digit.
These all sum up to 13, so write an expression to represent this:
x + (x + 4) + (x + 6) = 13
Combine like terms:
3x + 10 = 13
Subtract 10 from both sides:
3x = 3
Divide both sides by 3:
x = 1
Find the digits using the rules listed above:
Hundreds' digit: (1) + 6 = 7
Tenths' digit: (1) + 4 = 5
Units' digit: 1 = 1
Therefore, the number is:
751.
1. y = 4x + 9 ; m = 4 ; b = 9
the slope is 4 because there’s a pattern of +4 going down the function table in the “y” column
and b= 9 because at the number 0 on the x line has 9 in the y box
2. y = 3x - 1 ; m = 3 ; b = -1
basically the same thing as the first one just different numbers
x= 20° is the correct answer.
