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Mekhanik [1.2K]
3 years ago
13

4.How can you verify Euler’s formula for this net of a cube?

Mathematics
1 answer:
UNO [17]3 years ago
3 0
This is for any polyhedron that does not intersect itself. The Euler's formula states that the number of faces plus the number of vertices or corner points less the number of edges is always equal to 2.

Faces + Vertices - Edges = 2

A cube has 6 faces, 8 vertices, and 12 edges.

<span>Euler's formula: 6 + 8 - 12 = 2 ⇒ 14 - 12 = 2 ⇒ 2 = 2 ur welcome man </span>
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Dwight David Eisenhower

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What is the common ratio of the geometric sequence; *
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Step-by-step explanation:

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4 years ago
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The trapezoid ABCD has angle C=70 degrees and D=50 degrees. Find the size of angle A and angle B
uranmaximum [27]

Angle A = 130° and Angle B = 110°

Solution:

Given ABCD is a trapezoid with ∠C = 70° and ∠D = 50°

If ABCD is a trapezoid, then AB is parallel to CD.

AD is a transversal to AB and CD and

BC is a tranversal to AB ad CD.

Sum of the interior angles on the same side are supplementary.

∠A + ∠D = 180°

⇒ ∠A + 50° = 180°

Subtract 50° on both sides to equal the expression.

⇒ ∠A = 180° – 50°

⇒ ∠A = 130°

Similary, ∠B + ∠C = 180°

⇒ ∠B + 70° = 180°

Subtract 50° on both sides to equal the expression.

⇒ ∠B = 180° – 70°

⇒ ∠B = 110°

Hence, angle A = 130° and angle B = 110°.

7 0
3 years ago
What is the value of x? Show all of your work. Round your answer answer to the nearest tenth.
AlexFokin [52]
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3 years ago
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