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swat32
2 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]2 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°

Pie2 years ago
4 0

Answer:

A.) 54

Got it right on ed hope this helps

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A pole that is 2.5 m tall casts a shadow that is 1.47 m long. At the same time, a nearby tower casts a shadow that is 36.25 m lo
Roman55 [17]

The tower is 61.65 meters tall.

<u>SOLUTION: </u>

Given that, a pole that is 2.5 m tall casts a shadow that is 1.47 m long.  

At the same time, a nearby tower casts a shadow that is 36.25 m long.  

We have to find height of the tower.  

Now, we know that,

2.5 \mathrm{m} \text { tall } \rightarrow 1.47 \text { long shadow }

Then, (let it be) n meter tall \rightarrow 36.25 long shadow

So, by cross multiplication method,

\Rightarrow \frac{2.5}{1.47}=\frac{n}{36.25}

This can be written as,

\Rightarrow 36.25 \times 2.5=1.47 \times n \rightarrow 1.47 n=90.625 \rightarrow n=61.649 \rightarrow n=61.65 \text{ m}

Cross multiplications steps: (To find Single Variable)

  1. Multiply the numerator of the left-hand fraction by the denominator of the right-hand fraction.
  2. Multiply the numerator of the right-hand fraction by the denominator of the left-hand fraction.
  3. Set the two products equal to each other.
  4. Solve for the variable.
6 0
3 years ago
What is the x-intercept of the line that passes though the point (5, 3) with a slope of - 2/5?
lukranit [14]
Point/Slope Form of an equation!

(5,3)

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4 0
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Y is directly proportional to x, and y=56 when x=7. find the value of y when x=4.
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rjkz [21]

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Step-by-step explanation:

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