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swat32
3 years ago
12

A regular pentagon is created using the bases of five congruent isosceles triangles, joined at a common vertex. A regular pentag

on is shown. Lines are drawn from each point to a point in the center to form congruent isosceles triangles. The lengths of all lines are congruent. The total number of degrees of all center angles is 360 degrees. The total number of degrees in the center is 360°. If all five vertex angles meeting at the center are congruent, what is the measure of a base angle of one of the triangles?
Mathematics
2 answers:
Romashka [77]3 years ago
6 0

Answer:

Each base angle of one triangle is 54°

Step-by-step explanation:

Since the angles meeting in the center are congruent and all form 360° then it means each angle will be 360°/5 = 72°(since we have 5 angles).

Since they are all isosceles triangles, it means two base angles are equal and can be gotten by:

(180 – 72)/2 = 54°.

Each base angle of one triangle is 54°

Pie3 years ago
4 0

Answer:

A.) 54

Got it right on ed hope this helps

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Step-by-step explanation:

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For this, I'm just going to make medium cars the numerator.

18 medium cars to 6 cars can be made into a fraction like this : \frac{18}{6}.

When you divide both fractions in a calculator (or in your head), you will realize that they both are the same value (equivalent).

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These ratios are equivalent.

4 0
3 years ago
A pair of socks cost $2.50 originally. The price is reduced to $1.75. What is the percent change? *
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Step-by-step explanation:

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2 years ago
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3 years ago
Which explicit formula is equivalent to a1= 1/3, an=an-1+1
Yuri [45]

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<h3>An explicit formula for a sequence</h3>

Given the following information

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a2 = 4/3

For the third term

a3 = a2 + 1

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The resulting seqence is 1/3, 4/3, 7/3

The sequence is an arithmetic sequence

a = 1/3

d = 1

The explicit rule will be an = 1/3 + (n - 1)

Learn more on explicit rule here: brainly.com/question/2059043

8 0
3 years ago
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