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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

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Solve the right triangle below. Round sides to the nearest thousandth and angles to the nearest degree.

aalyn [17]

Answer:

Option 4, BC = 12.689, m∠A = 58°, and m∠C = 32°

Hope this helps!

4 0

3 years ago

Combine like terms. What is a simpler form of the expression? <br><br> -3(-4y + 3) + 7y

Yakvenalex [24]

19y-9 is a simpler form of this expression. You can use distributive property to get rigid the brackets (multiply -3 by -4y and 3) , then your expression looks like 12y-9+7y. You then combine like terms to get 19y-9.

3 0

3 years ago

Read 2 more answers

blagie [28]

Answer:

ΔFHK and ΔGHJ are the similar triangles by SAS similarity theorem.

Step-by-step explanation:

Picture for the given question is missing; find the picture attached.

If $\frac{\text{FH}}{\text{GH}}=\frac{\text{HK}}{\text{HJ}}$ and ∠H ≅ ∠H

Then ΔFHK ~ ΔGHJ

$\frac{\text{FH}}{\text{GH}}=\frac{\text{HK}}{\text{HJ}}$

$\frac{(12+10)}{10}=\frac{(15+18)}{15}$

$\frac{22}{10}=\frac{33}{15}$

$\frac{11}{5}=\frac{11}{5}$

Since, $\frac{\text{FH}}{\text{GH}}=\frac{\text{HK}}{\text{HJ}}$ and ∠H ≅ ∠H [By reflexive property]

Therefore, ΔFHK and ΔGHJ are the similar triangles by SAS similarity theorem.

Option (3) will be the answer.

4 0

4 years ago

A bakery uses 300 pounds of flour to make 120 wedding cakes of the same size. At this rate how many pounds of flour are needed t

ElenaW [278]

The answer is 13 minutes and b

4 0

3 years ago

Read 2 more answers

If it snows on game day there is a 32% chance the Jets will win. If it does not snow on game day there is a 41% chance the jets

marysya [2.9K]

<span>a) It is Win with snowfall OR Win without snowfall = 32% + 41% = 73% b) It is Snowfall on game day AND Win = 29% * 32% = 9.28% c) It is 32% * 29% / 73% = 12.71 %</span>

7 0

3 years ago