In parallelogram CNWK, ZC and ZK are consecutive interior angles. The
measure of ZC is (4a + 7)º and mZK = (7a – 3)º. What is mZC in
degrees?

In Parallelogram CNWK, ZC And ZK Are Consecutive Interior Angles. Themeasure Of ZC Is (4a + 7) And MZK

Answers

Answer 1

Answer:

[tex] J. \:\:71\degree[/tex]

Step-by-step explanation:

CNWK is a [tex] ||^{gm} [/tex]

[tex] \therefore m\angle C + m\angle K = 180\degree [/tex]

(Adjacent angles of a parallelogram)

[tex] \therefore (4a+7)\degree + (7a-3)\degree = 180\degree\\\\

\therefore (4a+7+7a - 3)\degree = 180\degree\\\\

\therefore (11a+4)\degree = 180\degree\\\\

\therefore 11a+4 = 180\\\\

\therefore 11a= 180-4\\\\

\therefore a= \frac{176}{11}\\\\

\therefore a= 16\\\\

\because m\angle C = (4a+7)\degree\\\\

\therefore m\angle C = (4\times 16+7)\degree\\\\

\therefore m\angle C = (64+7)\degree\\\\

\huge \orange {\boxed {\therefore m\angle C = 71\degree}} \\\\

[/tex]


Related Questions

License plates in a particular state display 2 letters followed by 4 numbers How many different license plates can be manufactured for this state?

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Tbh I think the answer is 3

Answer:6,760,000

Step-by-step explanation:

1) The area of the pizza is 36πin. What is the radius of the pizza?​

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Answer:

3.3851375012865377216884767093646, rounded to 2 sig figs, it would be 3.4 inches.

Answer:

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Step-by-step explanation:

How to calculate slope of a line STEP-by-STEP

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Step-by-step explanation:

You want to start by looking for two coordinates and decide which ones you'll use.

Then you want to find the difference between the two y coordinates also known as the rise.

Then you'll want to find the difference between the two x coordinates also known as the run.

After that you'll want to divide the difference of the two y coordinates with the difference of the x.

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Chart given to best illustrate.

[tex]8-4/4-2=4/2=2[/tex]

8 is from the right side which is subtracted by the 4 in the left equation. Then you divide that by 4 with 2 which results in 2. You end up with 4/2 and bingo!

2

Step-by-step explanation:

do you have a graph or points

graph it is rise over run wich is y/x

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Answers

Answer:

J. 80°

Step-by-step explanation:

It would most likely be 40 degrees because it has 40 on the other side which is included in the Isosceles Triangle Theorem.... that the two base angles are equal in measure

Welcome to another new game show, “Spinning for Luck!” As a contestant, you will be spinning two wheels. Each wheel is divided into equal sectors. The first wheel determines a possible dollar amount that you could win. The second wheel is the “multiplier”. You will multiply the results of your spins to determine the amount you will win. Unfortunately, you could owe money if your multiplier lands on –2!

a. What is the probability of winning $100 or more?
b. What is the probability of owing $100 or more?

Answers

Answer a ) 25%

Answer b ) 8.33%

The following formula can be used to determine the likelihood of both winning and owing $100 or more:

a. ) Chance of winning at least $100:

On the first wheel, there is a 2/6 = 1/3 chance of landing in a sector that equates to $100 or more.

On the second wheel, there is a 3/4 chance of landing on a multiplier other than -2.

The odds of both happening are (1/3) * (3/4) = 1/4 or 0.25.

The likelihood of earning $100 or more is thus 0.25, or 25%.

b. ) Likelihood of having at least $100 in debt:

The odds of landing on a sector with a value on the first wheel that is less than or equal to -$50 are 2/6 = 1/3.

A landing on a -2 multiplier on the second wheel has a 1/4 chance of happening.

1/12, or 0.08333, is the likelihood that both occurrences will occur (1/3) * (1/4).

Thus, the likelihood of owing $100 or more is 0.08333, or around 8.33%.

Therefore the final answer is 25% and 8.33%.

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If five friends split a $98.25 bill, about how much should each friend pay?

O about $17
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O about $19
O about $20

Answers

Answer:

about $20 because $98.25/5=$19.65

Step-by-step explanation:

Help
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Answers

Answer:

A

Step-by-step explanation:

1/6^2 =

1/36

Answer:

B

Step-by-step explanation:

When you divide 2 numbers with the same base, you subtract the exponents. We know fractions are basically division, so we would do 3-5. You get -2 as your exponent and we know negative exponents can be written two ways: [tex]6^{-2} and \frac{1}{x6^{2} }[/tex]. Both of those are there, so they are not the correct answer. B can be determined as the one not because the exponent is positive.    

Lisa hikes 9 miles in 2 hours. At this rate, how far does she hike in
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Answers

Answer:

72 miles

Step-by-step explanation:

Answer:

0.75 or 3/4 miles hiked in 1/6 hours

Step-by-step explanation:

2 hours = 120 minutes

1/6 x 60 = 10 minutes

9 / 120 = 0.075 miles per minute

10 x 0.075 = 0.75

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Answers

Answer: 14

Step-by-step explanation:

Check it

Answer:

k = 14

Step-by-step explanation:

The Remainder theorem states that if f(x) is divided by (x + h) then the remainder is f(- h)

If (x + h) is a factor of f(x) then the remainder is zero, that is f(- h) = 0

Given (x + 2) is a factor of f(x) then f(- 2) = 0, that is

(- 2)³ + 8(- 2)² - 2k + 4 = 0

- 8 + 8(4) - 2k + 4 = 0

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- 2k = - 28 ( divide both sides by - 2 )

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A store is advertising a sale with 10% off all items in the store. Sales tax is 5%.A 32-inch television is regularly priced at $295.00. What is the total price of the television, including sales tax, if it was purchased on sale? Fill in the blank to complete the sentence. Round your answer to the nearest cent.

Answers

Answer:

$280.25

Step-by-step explanation:

Step one;

given

price= $295.

Discount

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Answers

Answer:

-5

Step-by-step explanation:

if r was 7 it would be 7-12 so 7 - 12 is -5

Answer:

-5

Step-by-step explanation:

if r is 7

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Answers

Answer:

awnser one is 7 and question 2 is -10

Step-by-step explanation:

−12−2−−55=?  question one

In the first fraction, the negative numerator and negative denominator cancel each other.

Since the the second fraction is negative and you are subtracting, remove the negative sign and switch the operation to addition.

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122+55=?

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Question 2

−81+6−3=?

In the second fraction, move the negative sign from the denominator to the numerator and the value remains the same.

The equivalent equation is

−81+−63=?

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Multiply both the numerator and denominator of each fraction by the number that makes its denominator equal the LCD. This is basically multiplying each fraction by 1.

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The two fractions now have like denominators so you can add the numerators.

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−24+−63=−303

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−303=−10

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−81+6−3=−10

Solution by Formulas

Apply the fractions formula for addition, to

−81+6−3

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Step-by-step explanation:

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Step-by-step explanation:

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Answers

Answer:

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Step-by-step explanation:

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Answers

Answer:

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Step-by-step explanation:

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Answers

Answer:

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Answers

Answer:

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Step-by-step explanation:

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Answers

Answer:

im trying to figure out the same thing

Step-by-step explanation:


At a bake sale, a student spent $5.70 buying 3 brownies and 5 cookies. His
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brownie?

Answers

Answer:

i think the answer would be 90 cents for each brownie

Step-by-step explanation:

This can be solved as a system of 2 linear equations.

x = price of a brownie

y = price of a cookie

Since $5.70 bought 3 brownies and 5 cookies, our first equation is:

3x + 5y = 5.70

Since $4.50 bought 1 brownie and 6 cookies, our second equation is:

x + 6y = 4.50

So just solve the following system for x and y:

3x + 5y = 5.7

x + 6y = 4.5

Get x = 4.5 - 6y from the bottom equation and substitute for x in the top equation:

3(4.5 - 6y) + 5y = 5.7

Solve for y:

13.5 - 18y + 5y = 5.7

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y = 7.8/13 = 0.6 = price of cookie = $0.60

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x + 6(0.60) = 4.50

Solve for x:

x = 0.9 = price of brownie = $0.90

$0.90, so 90 cents. Cookies are $0.60, 60 cents.

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Step-by-step explanation:

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Step-by-step explanation:i hop this helps and have a nice day and thank you

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Step-by-step explanation:

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Step-by-step explanation:

Trust me

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Answers

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42 is the answer UvU

Answer:

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Step-by-step explanation

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Answer:

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Step-by-step explanation:

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