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3 years ago

What is the value of x

Mathematics

1 answer:

Ratling [72]3 years ago

4 0

<h3>Answer:</h3>

90°

<h3>Step-by-step explanation:</h3>

The polygon has 7 sides, so the total of internal angles will be ...

... 180°×(7 -2) = 900°

The sum is then ...

... x + 146° +122° +142° +140° +110° +142° = 900°

... x + 802° = 900° . . . . . simplify

... x = 98° . . . . . . . . . . . . .subtract 802°

_____

<em>Comment on angle measure formula</em>

The usual formula for computing the total of internal angles of a convex polygon with n sides is ...

... total angle measure = (n -2)×180°

This can be simplified from the fact that the sum of external angles is always 360°. That is, for internal angles a1, a2, ..., an, the sum of external angles is ...

... (180° -a1) +(180° -a2) +... +(180° -an) = 360°

... n×180° -(a1 +a2 +... +an) = 360° . . . . . . collect terms

... n×180° -360° = (a1 +a2 +... +an) . . . . . . add ∑ak -360°

... 180°×(n -2) = a1 +a2 +... +an . . . . . . . . . factor out 180°

You might be interested in

Find "both" answers

Eva8 [605]

Answer:

Please check the explanation!

Step-by-step explanation:

Finding the slope:

Taking two points to find the slope of the linear function

(2, 10)

(3, 13)

Slope = m = y₂-y₁ / x₂-x₁

= (13-10) / (3-2)

= 3 / 1

= 3

Thus, the slope = m = 3

Finding the common difference between consecutive terms of the arithmetic sequence

Given the sequence

10, 13, 16, 19

d = 13-10=3, d=16-13=3, d=19-16=3

Thus, the common difference between consecutive terms of the arithmetic sequence is:

d = 3

Finding the difference between the terms a₂ and a₄

a₂ = 13

a₄ = 19

The common difference between a₂ and a₄ = 19 - 13

= 6

Thus, the common difference between a₂ and a₄ = 6

Find the common difference of the Arithmetic Sequence

Given the sequence

10, 13, 16, 19

d = 13-10=3, d=16-13=3, d=19-16=3

As the common difference between all the adjacent terms is the same. Thus, the common difference of the Arithmetic will be: d = 3

<u>RESULT </u>

From the above calculations, we conclude that:

Slope = 3

The common difference between consecutive terms of the arithmetic sequence = 3

The difference between the terms a₂ and a₄ = 6

The common difference of the Arithmetic Sequence = 6

Thus,

The answer to the ''different'' question is: 6

The answer to the ''same'' three questions: 3

8 0

2 years ago

Hi, I don’t understand this question

meriva

Given that

z₁ = 15 (cos(90°) + i sin(90°))

z₂ = 3 (cos(10°) + i sin(80°))

we get the quotient z₁/z₂ by dividing the moduli and subtracting the arguments:

z₁/z₂ = 15/3 (cos(90° - 10°) + i sin(90° - 10°))

z₁/z₂ = 5 (cos(80°) + i sin(80°))

so that z₁ is scaled by a factor of 1/3 and is rotated 10° clockwise.

4 0

2 years ago

Q. During one particular sales day, 75% of the store's customers

serious [3.7K]

60-75%= 45
So 60-45=15
15 people used credit cards

4 0

3 years ago

Sterre charges $35 to file tax returns, but files for free if she only needs the easiest form. Then she donates $2 to clean wate

borishaifa [10]

We have been given that Sterre charges $35 to file tax returns, but files for free if she only needs the easiest form. Also, she donates $2 to clean water projects per tax return she files.

Further we know that Sterre charged $7,245 and made a donation of $1,242 this year for the tax returns she filed.

Let x be the number of free income tax returns and y be the number of $35 income tax returns.

Therefore, we can set up:

$0\times x+35\times y=7245\Rightarrow 35y=7245\Rightarrow y=\frac{7245}{35}=207$

Since she donates $2 for each return that she files, therefore, we can set up:

$2(x+y)=1242\Rightarrow x+y=621\Rightarrow x+207=621\Rightarrow x=414$

Therefore,

Sterre filed 414 tax returns for free and filed 207 tax returns for $35.

7 0

3 years ago

SOME PLEASE HELP WITH THE ANSWER!! THANK YOU

Aloiza [94]

Answer:

Geometric

Ratio = 5:1

Step-by-step explanation:

Geometric sequence is when the relation between the numbers in the sequence is multiplication or division.

For an arithmetic sequence, it is difference as it includes addition or subtraction, but since this sequence is division, we have to use ratios.

The ratio is 5:1 because the previous number is 5 times larger than the following one.

Hope this helps

8 0

3 years ago