Find the measure of interior angle C of hexagon OCEANS in which the
measure of the interior angles are:
O: 3x + 15, C: 2x + 30, E: 5x + 10, A: 2x + 55, N: 2x + 60, and S: x - 35.

Answers

Answer 1

Answer:

The measure of the interior angle C is [tex]108^{o}[/tex].

Step-by-step explanation:

Sum of angles in a polygon = (n - 2) x 180

where n is the number of sides of the polygon.

For a hexagon, n = 6. So that;

Sum of angles in a hexagon = (6 - 2) x 180

                                     = 4 x 180

                                     = [tex]720^{o}[/tex]

Sum of angles in a hexagon = [tex]720^{o}[/tex]

⇒ 3x + 15 + 2x + 30 + 5x + 10 + 2x + 55 + 2x + 60 + x - 35 = [tex]720^{o}[/tex]

15x + 135 = [tex]720^{o}[/tex]

15x = [tex]720^{o}[/tex] - 135

15x = 585

x = [tex]\frac{585}{15}[/tex]

  = [tex]39^{o}[/tex]

But,

C = 2x + 30

   = 2(39) + 30

   = 78 + 30

   = [tex]108^{o}[/tex]

The measure of the interior angle C is [tex]108^{o}[/tex].


Related Questions

352 divided by 25 multiplied by 2 subtracted by 3

Answers

Answer:

25.16

Step-by-step explanation:

Answer:

25.16

Step-by-step explanation:

A=(352/25 *2) - 3 = 25.16.

Will mark BRAINLIEST !!1
1/3+5/6+3/4+1/2 =
(as a fraction)

Answers

First you have to get the least common denominator. It looks like, in this case, it’s 12. Then, 1/3 would become 4/12, 5/6 would become 10/12, 3/4 would become 9/12, and 1/2 would become 6/12. Adding those all together, you get 29/12, or 2 and 5/12. Hope this helps and have a nice day!

Answer:

answer;

1/3+5/6+3/4+1/2 =29/12

A car travels 160 miles in 4 hours. At this rate, how far will the car travel in 7 hours?( find unit rate,
then multiply by 7)

Answers

Answer:

280

Step-by-step explanation:

160 divided by 4 is 40 then times that by 7 and u get 280

Answer:

280 miles

Step-by-step explanation:

First you have to find how many miles a car travels in 1 hour. (160 ÷ 4 = 40).

Then, once you find that, you multiply 40 by 7. (280)

Hope this helps!

can you help me with this please ​

Answers

Answer:

slope is 4/3 y intercept is -3

Step-by-step explanation:

there is no calculations needed

help me with this problem

Answers

Answer:

angle 1 = angle 3

= 180°-136°

=44°

= angle 3

URGENT PLEASEEEE HELPPPP

Answers

Answer:

they should get 8/3 each but because of your question the answer lies between 2 and 3

Step-by-step explanation:

if 3 cats and 8 once then 8 divided by 3 is 8/3 which is about 2/6667 then that is between 2 and 3. Done!

You simply divide the 8 ounces of cat food between the 3 cats, so we have 8\3 which is equal to 2.66 therefore our answer lies between the whole numbers 2 and 3.

There are 20 flowers in a bouquet, and 2 of them are roses. What percent of the flowers are roses?
Please help. don't need any work just the answer is fine.

Answers

Answer

.4 percent

Step-by-step explanation:

Answer:

.5%

Step-by-step explanation:

can someone please explain inverse operations to me??

Answers

Answer:

The operation that reverses the effect of another operation. Example: Addition and subtraction are inverse operations. Start with 7, then add 3 we get 10, now subtract 3 and we get back to 7.

Step-by-step explanation:

Answer:

Inverse operations are opposite operations that undo each other. Addition and subtraction are inverse operations. Multiplication and division are inverse operations.

PLZ MARK AS BRAINLIEST

PLEASE HELP ASAP WILL GIVE BRAINLIEST!!!!!
Graph y=−1.25x+7
Answer the following:
a)What is the y−intercept?
b)What is the slope (in fraction form)?
c)Is your slope positive or negative?
d)Explain how you plotted your second point.

Answers

Answer:

A. (0,7)

B. -1.25

C. Negative

D. I started at (0,7), then plotted the second point by moving the point down 5 and right 4.

Step-by-step explanation:

Look at the equation more carefully.

I hope this helps :)

Answer:

Step-by-step explanation:

y interept is +7

the slope in fraction form is y=-5/4+7

the slope is negative even though it looks like it is not going up or down

if that it is wrong then it is an undefined slope

other points you can plot- (1, 5.75) and (2, 5.75)

Helppppppp pleaseeeee

Answers

Answer:

x=6

Step-by-step explanation:

3x+12=5x

12=5x-3x

12=2x

6=x

x=6

Hope this helps! :)

PLEASE HURRY WILL GIVE BRAINLIST ​

Answers

I don’t wanna do this equation by 75 -45 is going to get you 75 and then you take 180-75 which is 105 and you take one of the 105-65 which is 35

Answer:

87

Step-by-step explanation:

Can you please help me with this question ASAP .I will give 20 points .please give with a explanation

Answers

Step-by-step explanation:

Number of choices for vegetable topping = 5

(Garlic/Avocado/Pickles/Asparagus/Onions)

Number of choices for meat topping = 6

(Anchovies/Sausage/Clam/Pepperoni/Tuna/Sardines)

Since they are independent events,

Total number of different pizzas = 5 * 6 = 30. (H)

PLEASE HELP ME ITS URGENT!!! PLEASEEE IM BEGGING U

Answers

Answer:

The answer would be C.

Step-by-step explanation:

5 * 6 = 30

3(10) * 1 = 30

Hence, your answer would be C.

Answer:

c = 10

Step-by-step explanation:

susie begins a new walking program with 600m on the first day. Each day she will increase her walk by 200m.how many kilometers will she walk on day 18 of her program

Answers

Answer:

4200m

Step-by-step explanation:

200 times 18 is 3600

3600 plus 600 is 4200

Mark brainliest or I'll literally drink water

Mr. Marquez discovered that 18 of his 24 students enjoy reading in their spare time. What percent of his students enjoy reading in their spare time?

Answers

Answer:

75%

Step-by-step explanation:

Use 'Percent(age) Composition'

1. (18/24) = 0.75 This shows that 0.75/1 students reads during their free time.

2. 0.75 x (100) = 75% This step is to allow the value we received above to be displayed as a percentage.

75% of students enjoy reading in their spare time.

the correct answer is 75%

BOBTHEBUILDER can do it

Answers

Answer:

YES HE CAN

Step-by-step explanation:

Answer:

when you have Bob anything is possible

The owner of a garden center pays $12 for each birdbath. She sells them for 55% more than she paid. Decide whether each expression represents the selling price for b birdbaths.Choose Yes or No for each expression.A.12b1 1. 55(12b) u Yesu Nob. 12(0 . 45b) u Yesu Noc.12b(1. 55)u Yesu Nod. 12(0 . 55b) u Yesu Noe. 12b(1 1 0.55)u Yesu No

Answers

Answer:

[tex]Selling\ Price = 12b(1.55)[/tex]

Step-by-step explanation:

Given

[tex]Cost\ Price = \$12[/tex]

[tex]Selling\ Price = 55\%\ more[/tex]

Required

Write an expression for the selling price for b birdbaths

This selling price for 1 birdbath is calculated as:

[tex]Selling\ Price = Cost\ Price + 55\% * Cost\ Price[/tex]

Substitute 12 for Cost Price

[tex]Selling\ Price = 12 + 55\% * 12[/tex]

Factorize:

[tex]Selling\ Price = 12(1 + 55\%)[/tex]

Express percentage as decimal

[tex]Selling\ Price = 12(1 + 0.55)[/tex]

[tex]Selling\ Price = 12(1.55)[/tex]

For b birdbaths, the selling price is:

[tex]Selling\ Price = 12(1.55) * b[/tex]

[tex]Selling\ Price = 12b(1.55)[/tex]

The options are not clear; However [tex]12b(1.55)[/tex] answers the question.

This is an easy question for people who want points

Answers

Answer:

5.33 or 5[tex]\frac{1}{3}[/tex]

Step-by-step explanation:

Assuming you don't want the answer in decimals, this is the process to find the answer in fractions:

1 [tex]\frac{2}{5}[/tex] + (3 [tex]\frac{1}{3}[/tex] + [tex]\frac{3}{5}[/tex])

= [tex]\frac{7}{5}[/tex] + [tex]\frac{10}{3}[/tex] + [tex]\frac{3}{5}[/tex]  → convert into mixed fractions

= [tex]\frac{21}{15}[/tex] + [tex]\frac{50}{15}[/tex] + [tex]\frac{9}{15}[/tex] → find the least common denominator to make them the same

= [tex]\frac{80}{15}[/tex] = 5[tex]\frac{5}{15}[/tex] = 5[tex]\frac{1}{3}[/tex] → = add and simplify

Which detail in text number one do you better understand because of details in the text number two

Answers

There is no question in this

Please help me

Solve the inequality.
8(x - 2) + 9<3(x - 1) + 5x

A. x <-7

B. X<-3

C. no solution

D. all real numbers

Answers

Answer:

D

Step-by-step explanation:

All real numbers are solution

Step 1: Simplify both sides of the inequality.

8x−7<8x−3

Step 2: Subtract 8x from both sides.

8x−7−8x<8x−3−8x

−7<−3

Step 3: Add 7 to both sides.

−7+7<−3+7

0<4

hope this help:)

A forest covers 52000 acres. A survey finds that 0.4​% of the forest is​ old-growth trees. How many acres of​ old-growth trees are​ there?

Answers

Given:

Total forest area = 52000 acres

Area of old growth trees in the forest = 0.4%

To find:

The area of old growth trees.

Solution:

We have,

Total forest area = 52000 acres

Area of old growth trees in the forest = 0.4%

Area of old growth trees is

[tex]Area=0.4\% \text{ of total forest area}[/tex]

[tex]Area=\dfrac{0.4}{100}\times 52000[/tex]

[tex]Area=0.4\times 520[/tex]

[tex]Area=208[/tex]

Therefore, the area of old growth trees is 208 acres.

Solve for j 8 - 4j = -8j​

Answers

Answer:

J = -2

Step-by-step explanation:

You must isolate the variable by dividing each side by factors that dont contain the variable.

So J would equal -2

Solve for J is -2. Hope it helps

Determine if the lines going through the given points are parallel.
perpendicular or neither: Line A:(-1,-5) (-4,-3) and Line B: (3, 1) (5, 4)

Answers

Answer:

Step-by-step explanation:

Line A: Neither

Line B: Neither

Dena, Barb, Ryan, and Joe played a game where the lowest value wins. Dena's score was 3. Barbs score was -6. Ryan's score was -4. And Joe's score was -2. A) Joe's score beat Dena's score B) Ryan's score beat Barbs score C) Joe had the worst score D) Dena won the game

Answers

A) is the correct answer joe’s score beat dena’s score.

Answer:

A.) Joe's score beat Dena's score

Step-by-step explanation:

When you use negative numbers (Numbers that start with a negative sign (-)), the bigger the number after the negative, the smaller the number and also a negative number is always less than a positive number. This means that Joe's score beats Dena's score, because Joe's score is negative and Dena's score is positive, so Joe's score is lesser than Dena's score.

The sales tax rate is 3% . If Aaron buys a golf club priced at $96, how much tax will he


pay?

Answers

Answer:

98.88

Step-by-step explanation:

98.88 bru :)                              hope this helps you out bro.

What is the solution to the equation x+7=−12?

is the question
hurry plss

Answers

Answer:

5+7=12

Step-by-step explanation:

simplify 5+7 to 12

12=12

x+7=12

Roy and two friends are at a game center. Each person buys hot dogs for $3, fries for $2.49, and a drink for $2.50. They also have a coupon for $1 off each drink. Write an expression to represent the total cost. Then find the total cost.

Answers

Answer:

$20.97

Step-by-step explanation:

3 people, meaning to multiply each one by 3.

Total price of Hot Dogs= 9.00

Total price of Fries=7.47

Total price of Drinks=7.50

7.50 - 3= $4.50

9.00+7.47+4.50= $20.97

Please help me! 7th grade science!
A girl uses 60j of energy to move a box from the floor to a shelf. How much power does she use if it takes her 3 seconds to move the box?
15watts
20watts
90watts
180watts

Answers

Answer:

The answer is 20 watts

Step-by-step explanation:

power=joules/seconds

60/3=20

help me plzzzz asap Kendra is buying an outfit that is on sale for 20% off. The original price of the outfit is $109. What is the sale price?

$130.80

$87.20

$21.80

$78.20​

Answers

answer: 87.20
explanation: 20 percent is equal to 0.2 so then you multiply 0.2 by $109 which gives you $21.80 so you then subtract $21.80 from $109 and you get $87.20 as your final answer.

Answer:

The answer would be $87.20

Step-by-step explanation:

Because if it is 20 % off you would multiply it by 0.2 which would get you 21.8

Then, 109 - 21.8 is 87.20

lI'm pretty sure this is right but i am still sorry if i am wrong

(a) Reflect the point (5 3) across the x-axis:

(b) Reflect the point(5 3) across the y-axis:

Answers

Answer:

(5, -3)

(-5, 3)

Step-by-step explanation:

Reflecting across the x-axis makes the y coordinate change from a positive to a negative and reflecting across the y axis makes the x value negative.

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