Simplify -1-18
-
(18)
O - |18|
0-18
O 18

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Work Shown:

S = sum of the interior angles of a polygon with n sides

S = 180(n-2)

3600 = 180(n-2)

3600/180 = n-2

20 = n-2

20+2 = n

22 = n

n = 22

Here is my answer. I hope it is helpful.

Answer:100

Step-by-step explanation:

The question confuses you since there is no extra variable to help you which is you have to create it yourself.

Let's create a variable called 'y' and make it the empty angle inside the triangle and next to x + 30. Since at K it will always equal to 180° because x+30 + y = 180°, we can rearrange to make y alone which would be become:

[tex]y=-x-30+180[/tex] which then becomes [tex]y = -x+150[/tex].

Also since the inside sum of angles in a traingle is equal to 180°, this can be written as

[tex]180 = (x-40) +(x-30)+y[/tex]

if we replace y with the equation we get

[tex]180=(x-40)+(x-30) + (-x+150)[/tex]

which can be simplified to

[tex]180=x+80[/tex] because 2x-x = x and -70+150 = 80

If we rearrange to solve for x, we get:

[tex]x = 180-80[/tex] ⇒ [tex]x=100[/tex]

We can verify this by putting the value of x in both equation:

[tex]y = -100+150 = 50[/tex] angle at k

[tex]100-40=60[/tex] angle at j

[tex]100-30=70[/tex] angle at l

[tex]50+60+70=180[/tex] this match the rules of the sum of interior angle always equal 180°

Answer:

B. Distinct Parallel lines.

Step-by-step explanation:

Answer:

The answer is 2,400:)

Step-by-step explanation:

8×300 is 2400

Answer:

x=4

Step-by-step explanation:

log(2x-7) = 0

10^[log(2x-7)] = 10^0

2x-7 = 1

2x = 8

x = 4

Answer: you should have gotten a pic that shows all the cells phases just count the interphase ones however in the interphase cells spend 90% of its life cycle in this phase

Answer:

y=6+8

y=14

Step-by-step explanation:

y=14 is the answer to this question

Answer:

  (250, 150)

Step-by-step explanation:

The acreage cannot be negative, so choices A and C are eliminated. The sum of acreages cannot exceed 400, so choice D is eliminated.

Choice B has the allotted acreages total exactly 400, which is within the farmer's limit.

  (250, 150) is a viable solution

Answer:

12 miles

Step-by-step explanation:

Your car uses 1/12th of its entire gas to go a single mile. This means that you need to drive 12 miles to run out of gas.

Step-by-step explanation:

I don't know what is the answer I can explain it

Answer:

(-2, 2) (-4, 2) (-4, 5)

Step-by-step explanation:

The coordinate for A are (2, 2) (4, 2) and (4, 5).

When you reflect across the x=axis the y coordinates become negative.

(2, -2) (4, -2) (4, -5)

y = x is a diagonal line through the origin, and all of the points change signs.

(-2, 2) (-4, 2) (-4, 5)

Plot the 3 points for the triangle.

In 1. He did not use the correct of making it an additive inverse. Usually to make additive inverse, one has to add the same numbers but opposite signs with it to result for a zero.

So the answer for step 1. would be... - 8.3 + 8.3 + 9.2 - 9.2 - 4.4 + 4.4 + 3.7 - 3.7

In 2. he also had errors because commutative property states that we can place the numbers in a different format but the result number will always be the same.

So the original problem is −8.3 + 9.2 − 4.4 + 3.7  which results 0.2                                     but in Allen's workout: −8.3 + 4.4 + 9.2 + 3.7 results 9

Actually the answer is B.  cuz A is incorrect because he made errors. D is also incorrect because changing the grouping of numbers are commutative property. And step 2 is actually commutative so its not incorrect.

Answer:

I believe the equation would be: y=3/2x-20

Step-by-step explanation:

This is true because, first you would need to find the slope from the equation, which is -2/3. But, for perpendicular, you would need to make it the exact opposite (which is this case would leave you with a slope of 3/2)

Ex: if you had -3/4, the slope for one that is perpendicular would be 4/3 (exact opposite)

After finding the slope, you take the points (6,-11) and plug it into the equation "y-y1=m(x-x1)"

y-y1=m(x-x1)

y+11=3/2(x-6)

-distribute the 3/2-

y+11=3/2x-18/2

y+11=3/2x-9

-subtract 11 on both sides-

y=3/2x-20

Im not sure if all calculations are correct, but I hope this helps! :)

Answer:

Step-by-step explanation:

The amount needed in her account in order for her to reach her goal. Round to the nearest cent is: d. $774,931. 58.

Using this formula

PVA=Principal [(1-rate)^time/rate]

Let plug in the formula

PVA=45000[(1-(1+0.031)^(-25))/0.031]

PVA=45000[(1-(1.031)^-25)/0.031]

PVA=45,000(1-0.4661582427091)/0.031

PVA=45000(0.533841757290/0.031)

PVA=45000(17.22070184809)

PVA=$774,931.58

Inconclusion the amount needed in her account in order for her to reach her goal. Round to the nearest cent is: d. $774,931. 58.

Learn more about compounded interest here:

https://brainly.com/question/24274034

Answer: b i just took the test

Step-by-step explanation:

Option A is correct,  d - w is a factor of M whose equation is M=nd-nw.

A number system is defined as a system of writing to express numbers.

Given that Byron opened a new bank account and immediately started depositing d dollars per week.

Byron also withdrew w dollars per week to pay expenses.

Byron also withdrew w dollars per week to pay expenses.

The total amount of money in the account, M, after n weeks is represented by the equation M = nd - nw .

M equal to n times of d minus n times of w.

We can factor out the common factor of n from the expression for M

M = nd - nw = n(d - w)

Therefore, n is a factor of M.

Hence, option A is correct,  d - w is a factor of M whose equation is M=nd-nw.

To learn more on Number system click:

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Answer:

The other small angle is 53.5 degrees

Step-by-step explanation:

We know that a right triangle has to have a 90 degree angle and 2 other small angles.

All triangles when adding up all of their "degrees" has tp equal 180 degrees.

Since we know that there is a 90 degree angle and a 36.5 degree angle.

All we have to do is add 90 plus 36.5, then subtract that sum onto 180.

90 + 36.5 = 126.5

180 - 126.5 = 53.5

So the answer is 53.5 degrees.

Hope this helps! :)

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A right triangle is a triangle in which the angles sum up to 180 degrees. It is made up of three sides : the height, the base and the hypotenuse. One of the angles in a right triangle has a value of 90 degrees.

Missing angle  = sum of angles in a triangle - (sum of the two given angles)

Missing angle = 180 - ( 90 + 36.5)

180 - 126.50

= 53.5 degrees

Please find attached an image of a right triangle. A similar question was answered here: https://brainly.com/question/24353342

Answer:

3x times 24 widgets

Step-by-step explanation:

Answer:

12.65 = 12 65/100

         = 12 13/20

10.5 = 10 5/10

       = 10 1/2

3.2 = 3 2/10

     = 3 1/5

1.69 = 1 69/100

1.5  = 1  5/10

     = 1  1/2

Step-by-step explanation:

The weight of salted peanuts is expressed in fraction as [tex]12 \frac{13}{20}[/tex] ounce.

Given that, salted peanuts = 12.65 ounce.

Decimals can be written in fraction form. To convert a decimal to a fraction, place the decimal number over its place value.

Now, salted peanuts = 12.65 ounce in fraction is

12.65 = [tex]12 \frac{65}{100}[/tex]

= [tex]12 \frac{13}{20}[/tex] ounce

10.5 ounce package miniature marshmallows

In fraction 10.5 = [tex]10 \frac{5}{10}[/tex]

= [tex]10 \frac{1}{2}[/tex] ounce

3.2 ounce package sunflower seeds

In fraction 3.2 = [tex]3 \frac{2}{10}[/tex]

= [tex]3 \frac{1}{5}[/tex] ounce

1.69 ounce package candy-coated milk chocolate pieces

In fraction [tex]1 \frac{69}{100}[/tex]

1.5 ounce box raisins

In fraction [tex]1 \frac{5}{10}[/tex]

= [tex]1 \frac{1}{2}[/tex]

Therefore, the weight of salted peanuts is expressed in fraction as [tex]12 \frac{13}{20}[/tex] ounce.

To learn more about the conversion of decimal to fraction visit:

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Answer:

  0.25n = 25/100n = n/4

Step-by-step explanation:

25% of n = ...

  0.25n = 25/100n = n/4

and any of an infinite number of equivalent expressions.

Step-by-step explanation:

if I understand correctly, then the function is

t(x) = 8x

now we know, that for a specific n

t(n) = 200

that means

200 = 8n

n = 200/8 = 25

the function tells us, that for 25 trucks we need 200 tires.

Answer:

95.00 + 5n

Step-by-step explanation:

It cost 95 dollars to reserve the location, first. Then, you have n amount of people coming and there is 5 per n, which is 5n. Therefore, 95 + 5n.

Answer: a. The prices throughout the year of the items in a store.

Step-by-step explanation:

An input value cannot have multiple output values.