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3 years ago

Find the measure of one interior angle for the following regular polygon

Mathematics

1 answer:

Tanya [424]3 years ago

3 0

Answer:

108 degrees

Step-by-step explanation:

The formula for the total sum of the angles in any REGULAR shape is

$(n-2) * 180$ , where n represents the number of sides.

The shape in the picture shown is a pentagon (5 sides).

$(5-2) * 180\\$

$3 * 180$

= $540$

So the angle sum is 540 degrees.

Again, we are told that it is a regular polygon, meaning all sides and angles in the shape are equal.

So to find one angle, just divide it by the number of sides.

$540/5 = 108$

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Lucy places five cards that are labeled 1 to 6 face down on the table and mixes them up. What is the likelihood that her friend

melisa1 [442]

Answer:

1/2 or 0.5

Step-by-step explanation:

Within 1 to 6,

Even numbers are 2, 4, 6

While odd numbers are 1, 3, 5

Assuming cards are mixed up properly and the probabilities of drawing a card with any number from 1 to 6 is constant,

Probability of drawing even number cards = number of units of even number cards ÷ total number of units of cards from 1 to 6 aka total number of cards

= 3 / 6

= 1 / 2

4 0

3 years ago

Helpppp meeeee outttttt pleaseeeee ASAPPPP!!!!

Ilya [14]

Answer:

$\boxed{\sf sin\ C =\frac{40}{41}}$

Step-by-step explanation:

We need to find out the value of sinC using the given triangle . Here we can see that the sides of the triangle are 40 , 41 and 9 .

We know that the ratio of sine is perpendicular to hypontenuse .

$\sf\longrightarrow sin\theta =\dfrac{ perpendicular}{hypontenuse}$

Here we can see that the side opposite to angle C is 40 , therefore the perpendicular of the triangle is 40. And the side opposite to 90° angle is 41 . So it's the hypontenuse . On using the ratio of sine ,

$\sf\longrightarrow sinC =\dfrac{ p}{h}\\\\\sf\longrightarrow sin\ C =\dfrac{AB}{AC}$

Substitute the respective values ,

$\sf\longrightarrow \boxed{\blue{\sf sin\ C =\dfrac{40}{41}}}$

<u>Hence the required answer is 40/41.</u>

6 0

3 years ago

Which function has zeros at x = −2 and x = 5?

Sav [38]

Answer:

D:f(x) = x2 - 3x -10

Step-by-step explanation:

7 0

2 years ago

Read 2 more answers

COMPLETING THE SQUARE<br> X^2– 2x +

Studentka2010 [4]

Answer:

x^2 -2x + 1

Step-by-step explanation:

Think of a quadratic equation as

ax^2 + bx + c

x^2 -2x +

Comparing the two equations

a = 1 , b = -2, c = ?

c becomes the missing part

Divide b by 2

-2/2 = -1

square the result

-1^2

= 1 this is what to add to get a perfect square

x^2 -2x + 1

(x - 1)^2

6 0

3 years ago

Find the measure of <3.

miss Akunina [59]

Measure of angle 3 is 31

7 0

3 years ago