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3 years ago

The measure angles of a hexagon are 4x,5x,6x,7x,8x,and9x calculate the size of the smallest angle

Mathematics

1 answer:

Nesterboy [21]3 years ago

5 0

Answer:

Step-by-step explanation:

Sum of interior angles of polygon = (n -2) * 180

Sum of interior angles of hexagon = (6-2)*180 = 4* 180 = 720

4x + 5x +6x +7x + 8x +9x = 180

39x = 180

x = 180/39

x=4.61

Smallest angle = 4x = 4*4.61 = 18.44

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Simplify the expression 2(x+4)−3(x+2).

jonny [76]

2x + 8 - 3x - 6

-x + 2

8 0

3 years ago

Solve for x: -2x + 1 = -6

lukranit [14]

<h2>Answer:</h2>

This is a 2-step equation. We will solve it in 2 steps.

$-2x + 1 = -6\\\\-2x = -7\\\\x = \frac{7}{2}$

The solution for this equation is x =<em> </em> $\frac{7}{2}$ .

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3 years ago

A fair coin is flipped 10 times. What is the probability that exactly 4 of the 10 flips come up heads

kifflom [539]

105/2^9

Step-by-step explanation:

The probability of getting a head in a single toss

p=12

The probability of not getting a head in a single toss

q=1−12=12

Now, using Binomial theorem of probability,

The probability of getting exactly r=4 heads in total n=10 tosses

=10C4(1/2)4(1/2)10−4

=10×9×8×7/4! 1/2^4 1/2^6

=2^44⋅9⋅35/24(2^10)

=105/2^9

5 0

2 years ago

Read 2 more answers

Log squared 32 = y<br><br> find value of y

Sergio039 [100]

Answer:

Step-by-step explanation:

32 divided by 8 gives you 32

5 0

3 years ago

Exercise Plus charges a yearly fee of $75 plus $10 a month. Gym and Swim charges a yearly fee of $50 plus $15 a month. When , if

Natasha2012 [34]

Answer:

5 months will be the same cost at each gym.

Step-by-step explanation:

Exercise Plus charges a yearly fee of $75 plus $10 a month.

Gym and Swim charges a yearly fee of $50 plus $15 a month.

Let $x$ by the number of months

$75+10x=50+15x$

$10x=15x-25$

$-5x=-25$

$\frac{-5x}{-5}=\frac{-25}{-5}$

$x=5$

Therefore, 5 months will be the same cost at each gym.

4 0

3 years ago