4 years ago

Find each missing length to the nearest tenth

Mathematics

1 answer:

Leni [432]4 years ago

6 0

What are the lengths?

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What is the missing step in this proof?

Arada [10]

1. AD/DB=CE/EB

given

2. AD/DB+1=CE/EB+1

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3. AD+DB/DB=CE+EB/EB

using common denominators

4. AB = AD + DB

CB = CE + EB

segment addition

5. AB/DB=CB/EB

Substitution Property of Equality

6.ABC DBE

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7. ABC ~ DBE

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3 0

3 years ago

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A cricular arena is lit by 5 lights equally spaced around the perimeter of the arena. What is the measure of each angle formed b

Kitty [74]

Answer:

108°

Step-by-step explanation:

Suppose that circle with center A is a circular arena. Points B, C, D, E and F are 5 lights. These 5 points form regular pentagon (because these 5 lights are equally spaced around the perimeter of the arena).

The sum of all interior angles of pentagon can be calculated using following formula

$(n-2)\cdot 180^{\circ},\\ \\(5-2)\cdot 180^{\circ}=3\cdot 180^{\circ}=540^{\circ}$