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gulaghasi [49]
3 years ago
12

=

Mathematics
1 answer:
svet-max [94.6K]3 years ago
8 0

Answer:

The polygon has 9 sides

Step-by-step explanation:

we know that

A regular polygon has equal length sides and equal interior angles

step 1

Find the measure of the interior angle

Remember that

The interior angle plus the exterior angle must be equal to 180 degrees (form a linear pair)

Let

x ----> the measure of each interior angle in the regular polygon

so

x+40^o=180^o

solve for x

x=180^o-40^o=140^o

step 2

Find the number of sides of the regular polygon

we know that

The measure of each interior angle in a regular polygon is given by the formula

x=\frac{(n-2)180^o}{n}

where

n is the number of sides of the polygon

substitute the given values

140^o=\frac{(n-2)180^o}{n}

solve for n

140n=180n-360\\180n-140n=360\\40n=360\\n=9\ sides

therefore

The polygon has 9 sides

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Answer:

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Step-by-step explanation:

Expected value, E(X) is given as

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xᵢ = each variable

pᵢ = probability of each variable

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D | X | P(X)

1 | 3.0 | 0.2

2 | 3.5 | 0.1

3 | 5.0 | 0.2

4 | 2.5 | 0.5

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Hope this Helps!!!

7 0
2 years ago
45 POINTS PLEASE HELP!
andrew-mc [135]

Hello,

Question:

Jack popped some popcorn, but 3 of the 150 kernels did not pop.

Determine which popcorn snacks below has the same ratio of unpopped to total kernels as Jack's popcorn.

We Know:

3 out of 150 did not pop

Solution:

3/150 = 3 to 150

Find ratios similar to this one,

4/200

2/100

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Answers:

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Answer:

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Step-by-step explanation:

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∴ 4x - 7 = 2x + 7 ⇒ collect like terms

∴ 4x - 2x = 7 + 7

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∴ x = 14 ÷ 2 = 7

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∵ The length of BC = 4x ⇒ substitute the value of x

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