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galben [10]
3 years ago
12

If a shape is a regular pentagon with five sides what must be true

Mathematics
2 answers:
Dimas [21]3 years ago
7 0

A pentagon is a closed 5 sided polygon.

A regular polygon has all sides equal as well as all angles equal.

°The formula to find the sum of all angles of a polygon is = (n-2) ×180

So for a pentagon, n= 5

So the sum of all the angles must be (5-2)× 180= 3 × 180 = 540.

Now as it is a pentagon, it shall have 5 vertices.

So there are 5 angles in a pentagon and all must be equal.

Hence each interior angle must be 540/5 = 108

So for a regular polygon with 5 sides must have each interior angle = 108

Effectus [21]3 years ago
4 0

Answer:

Step-by-step explanation:

A) it is symmetrical

B) it has five lines of symmetry

C) it has reflectional symmetry

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<img src="https://tex.z-dn.net/?f=%20%5Csqrt%7B3%7D%20%20%3D%20%7B27%7D%5E%7B%3F%7D%20" id="TexFormula1" title=" \sqrt{3} = {27
marishachu [46]

Let the unknown be x


\sqrt{3}  = 27^x


3^\frac{1}{2}  = 3^{3x}


Both the base number are 3, so we equate the exponent:


\dfrac{1}{2}  = 3x


x = \dfrac{1}{2}  \div 3


x = \dfrac{1}{2}  \times \dfrac{1}{3}


x = \dfrac{1}{6}


Answer: 1/6


3 0
3 years ago
35 POINTS!!!!!!!!!!!!!!!!!!!
loris [4]

The answer is C

see attached picture:

4 0
3 years ago
Do you brought a cooler container 7.5 L of water to the picnic in 500milliliters of the water I serve to each person and how man
Dafna11 [192]

Answer:

15 people will be served before the cooler would be empty

Step-by-step explanation:

Here, we want to know the number of persons that could be served if the total amount of water available is 7.5L and each serving is 500 milliliters

What we are going to do here is to divide the total amount of water available by the number of individual servings

Mathematically, that would be;

7.5L / 500 milliliters

So we need to convert 7.5L to milliliters

Since 1000 mL = 1L ; 7.5 L = 7.5 * 1000 = 7500 mL

So the number of people served will be;

7500/500 = 15 people

8 0
3 years ago
diego is collecting dimes and nickels for penny war he has collected $22.25 this represented by the equations 0.10x + 0.05y =22.
dlinn [17]

One solution is x = 1 and y = 443 because

0.10(1) + 0.05(443) = 22.25.

So, (1, 443) is a solution.

Since, 1 dime = 2 nickels,

Increment of 1 in x-value = Decrease of 2 in y-value.

Therefore, the set of possible solutions are {(1, 443), (2, 441), (3, 439), (4, 437),......(222, 1)}

7 0
3 years ago
(c) In 2017, Lauren's monthly income of $1800 was 25% less than her monthly income in 2016.
murzikaleks [220]

Answer: uwu

Step-by-step explanation:

uwu

8 0
3 years ago
Read 2 more answers
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