4 years ago

How many vertices does a convex polyhedron have if it has 14 faces and 24 edges?

1 answer:

5 0

The correct answer is C) 12

Euler's formula states that the number of vertices subtracted by the number of edges and added to the number of faces of a polyhedron always equals 2:

V - E + F = 2

We have 24 edges and 14 faces:
V - 24 + 14 = 2

Combining like terms,
V - 10 = 2

Add 10 to both sides:
V - 10 + 10 = 2 + 10

V = 12

You might be interested in

An employee ‘s hourly raise went up from $10 per hour to to $12 per hour . What is the rate of increase

Snowcat [4.5K]

20% increase

the percent increase = $\frac{increase}{original}$ × 100%

increase = $12 - $10 = 2$

increase = $\frac{2}{10}$ × 100% = 20%

4 0

3 years ago

Which expression is equivalent to 3^4 ⋅ 3^−9? 1/3^13 1/3^5 3^5 3^13

boyakko [2]

${3}^{4} \times {3}^{ - 9} = {3}^{4} \times (1/ {3}^{9}) = {3}^{4} \div {3}^{9} \\ {3}^{(4 - 9)} = {3}^{ - 5} = 1/( {3}^{5} )$
So the 2nd answer is correct: 1 / 3^5

3 0

4 years ago

Which is a graph for the inequality x>2?

skad [1K]

Answer: The one you have selected is correct.

Step-by-step explanation:

Since x > 2 does not include the value of 2, the circle must be open.

The direction is to the right because it's every value which is bigger than 2.

4 0

2 years ago

Read 2 more answers

Type the integer that makes the following multiplaction sentence true<3