One side of each pentagon lies along a side of the octagon.
AB is a side of the octagon.
AC is a side of one of the pentagons.
BC is a side of the other pentagon.
Work out the size of angle y.
Show your working clearly.

One Side Of Each Pentagon Lies Along A Side Of The Octagon.AB Is A Side Of The Octagon. AC Is A Side

Answers

Answer 1

Answer:

The size of angle y is 126°

Step-by-step explanation:

From the diagram of the regular polygons, we have;

One side of each pentagon lies along a side of the octagon

The interior angle of the octagon > The interior angle of the pentagon

Each interior angle of a regular pentagon = 108°

Each interior angle of a regular octagon = 135°

Therefore, ∠ABC = 135° - 108° = 27°

Similarly, ∠BAC = 135° - 108° = 27°

Therefore, by triangle the angle sum theorem, we have;

∠y = ∠ACB = 180° - ∠BAC - ∠ABC = 180° - 27° - 27° = 126°

The size of angle y, ∠y = 126°.


Related Questions

Determine if the pair of figures are congruent and select the appropriate theorem if applicable.

A
The figures are not necessarily congruent.
B
The figures are congruent via the SSS Congruence Theorem.
C
The figures are congruent via the ASA Congruence Theorem. D
The figures are congruent via the SAS Congruence Theorem.

Answers

Answer:

ASA theorem

As you can see there are ángeles and only a line

Ryan collected data from a random sample of 700 students in his university asking whether or not they exercise more than 30 minutes per day. Based on the results, he reports that 36% of the students in the nation exercise more than 30 minutes per day. Why is this statistic misleading?

Answers

He only asked students in his university and he stated that it represented the whole nation (his university does not represent the whole country.)

i need help with this question , its rlly hard

Answers

Read the description of the equation carefully: the flower's height h is equal to 12 + 2.25w, where w is the number of weeks that pass.

If w = 0, this means no time has passed, and so h would be the flower's starting height:

12 + 2.25•0 = 12 + 0 = 12

After 1 week, w = 1, its height would be

12 + 2.25•1 = 12 + 2.25 = 14.25

After another week, w = 2, its height would be

12 + 2.25•2 = 12 + 4.5 = 16.5

and so on.

For every week that passes, the flower grows another 2.25 inches, which is exactly what the last option is saying.

What cell generates energy for all the other cells (it’s for science but it doesn’t show science as a subject so yes)

Answers

lol, that would be biology

but I'd say its the mitochondria

A 9-pack of ice cream bars cost $3.24. What is the unit price

Pls help

Answers

Divide 9 by 3.24 on a calculator
$0.36 because you just have to divide the total cost by how many units there are which in this case would be 9. so 3.24/9=0.36

how do you work out this equation
solve simultaneous equations by substitution
9x - 2y = -1
2y = 3x - 5

Answers

Answer:

x is equal to negative one, and y is equal to negative four.

Step-by-step explanation:

You can do this by solving one of the equations by either x or y, then substituting it into the other.  Let's solve the second one for y:

[tex]2y = 3x - 5\\y = \frac{3x - 5}{2}[/tex]

Now we'll substitute that into the first equation:

[tex]9x - 2y = -1\\9x - 2(\frac{3x - 5}{2}) = -1\\9x - 3x + 5 = -1\\6x + 5 = -1\\6x = -6\\x = -1[/tex]

So we now know that x is equal to -1.  We can simply substitute that into one of the original equations to find y:

[tex]2y = 3x - 5\\2y = 3(-1) - 5\\2y = -3 - 5\\2y = -8\\y = -4[/tex]

We now know that x is equal to -1, and y is equal to -4.  We can also check our answer by plugging that -4 into the other equation, and see if we still get -1:

[tex]9x - 2y = -1\\9x - 2(-4) = -1\\9x + 8 = -1\\9x = -1 - 8\\9x = -9\\x = -1[/tex]

So we know that our answer is correct.

look at the attachment

Answers

a- 1/6
b-6/35
c- 1/2
d-2/15

help please (it has to be 20 more characters ignore)

Answers

Answer:

The value of g is 7.

Step-by-step explanation:

☆ Let's solve!

[tex] \: \: \: \: 3 + g = 10 \\ \frac{- 3 \: \: \: \: \: \: \: \: \: = - 3}{g = 7} [/tex]

B. G is 7. Explanation: 10-3=7, check it by seeing if 7+3=10 and it does!

WILL GIVE BRAINLIEST AND 100 POINTS!!!!

Let f(x) = |x|+5. The graph of f(x) is transformed into the graph of g(x) by a translation of 2 units left and a translation of 4 units up. What is the equation for g(x)? Show and explain your work. (4 points)

Answers

f(x)=|x|+5

Look graph no 1

Now

2 units left means x is reduced by 24units up means y is increased by 4

New equation

[tex]\\ \sf\longmapsto g(x)=|x-2|+1[/tex]

Graph attached

de que murio jack sparrow?
1+1=

Answers

the answer 1+1=2 okkkk

Answer:

Jack sparrow did not die. He was struck at a place between life and death which is Davy Jones's locker. Elizabeth,Will along with help of Barbossa and Tia Dalma reached at the world's end( Davy Jones locker) to make Jack free from locker. 1+1=2 :)

7-(3x-4)!! thank you!

Answers

Answer:

-3x+11

Step-by-step explanation:

Answer:

11-3x

Step-by-step explanation:

Distribute the "-"

7-3x+4=

Group the numbers

11-3x

14.
Which of the following tables represents a proportional relationship?
A. O x 0 1 2 3
y 0 369
BOX 0 5 10
15
y 0 10 15 20
COX0 2 46
y 2 4 8 12
DO x 0 1 2 3
045
6
Copyrig
O
??

Answers

Answer:

is this in the correct order

Step-by-step explanation:

Select the expression tbat makes the equation true.
(-3.10). (4.106) =

Answers

Answer:

(3.1)(4.1)

Step-by-step explanation:

Factor the algebraic expression 40a + 15 ​

Answers

Answer:

5(8a+3)

Step-by-step explanation:

Rewrite 15 as 5 * 3

Rewrite 40 as 5 * 8

=5*8a+5*3

=5(8a+3)

40a + 15 gcf = 5
-------------
5
5(8a+3)

Write a system of equations for the following situation:
A group of 10 people went to see a movie. The cost to go to the movie is $8 for an adult and $5 for a child. The total cost for the group was $59.

Answers

Answer: B) a + c = 10

8a + 5c = 59

Step-by-step explanation:

We know that 10 total people went, so the first equation has to be equal to 10. The total was $59, so the second equation should be set equal to $59. Now that the second equation is for cost, we must make it 8a + 5c to represent the cost of the adult and child tickets which are $8 and $5, respectively.

Answer:

[tex]\boxed{\boxed{\pink{\bf \leadsto Option \ second \ is \ correct .}}}[/tex]

Step-by-step explanation:

Given that , a group of 10 people went to see a movie. The cost to go to the movie is $8 for an adult and $5 for a child. The total cost for thegroup was $59.

Let :-

[tex]\implies \bf No. \ of \ adult \ be \ denoted \ by \ a. \\\\\bf \implies No . \ of \ Children \ be \ denoted \ by \ c . [/tex]

Since the total number of people in group is 10 . Then ,

[tex]\implies \bf n_{adult} + n_{children} = 10 \\\\\bf\implies \boxed{\bf a + c = 10 }[/tex]

Now , the cost for an adult is $8 and for a child is $5. Hence ,

[tex]\bf\implies n_{adult}\times cost_{adult} + n_{child}\times cost_{child} = Total \ cost \\\\\bf \implies a \times \$ 8 + c \times \$ 5 = \$ 59 \\\\\bf\implies \boxed{\bf 8a + 5c =\$ 59 }[/tex]

Hence our overall answer matches with second option .That is ,

[tex]\red{\bf Option \ 2 } \begin{cases} \bf a + c = 10 \\\\\bf 8a + 5c = 59 \end{cases}[/tex]

Hence second option is correct .

What is the measure of ACB
105
150
65
impossible to determine

Answers

Answer:

impossible

Step-by-step explanation:

you need 3 different values including a side

Answer:

I hope this helps

Step-by-step explanation:

Steve needs to ship a box of dice each of which is a cube with volume 1 cubic centimeter. How many dice can Steve fit in this box?

A rectangular prism that measures 12 centimeters by 9 centimeters by 18 centimeters.
39
270
972
1,944
please help me its worth 50 % of my grade

Answers

Answer:

the answer is 1,944

Step-by-step explanation:

all you have to do is multiply 9 and 18 then whatever you get there then you multiply 162 by 12 and you get the answer

Will mark brainliest for whoever answers. How can I solve this problem?

Answers

Answer:

42.5%

Step-by-step explanation:

i dont think the a b and c are multiple choice they are steps to solve the problem

the events in the problem are rebecca approving couch 85% and her roomate approving the couch 50%

a: rebecca approving couch 85%

b: roomate approving the couch 50%

probability rebecca and roommate approves is percentages multiplied.

85% times 50% = 0.85*0.5

=0.425

42.5%

help plz, i would be so happy if you did nobody's been answering my questions lately :(

Answers

Answer:

D

-5x + y = 7

x+3y = 5

Step-by-step explanation:

when you graph the equations, they are parallel. as you know, solutions are the point where the lines meet. if they are parallel, it's not possible for the lines to intersect.

Answer and Step-by-step explanation:

Lets solve each one and see which has solutions and which one doesn't have a solution.

__________________________________________________________

A) x + y = -6

   x + y = 12

Solve for y for one of the equations, then plug it into the other equation.

y = -6 - x                  

x + (-6 - x) = 12     =    -6 = 12  No Solution

__________________________________________________________

B) y = 2x + 5

   y = -3x + 1

2x + 5 = -3x + 1

4 = - 5x

[tex]-\frac{4}{5} =x[/tex] Solution

_________________________________________________________ C) y = 4x - 8

    y = 2x - 4

4x - 8 = 2x - 4

2x = 4

x = 2 Solution

__________________________________________________________

D) -5x + y = 7

     x + 3y = 5

x = 5 - 3y

-5(5 - 3y) + y = 7

-25 + 15y + y = 7

16y = 32

y = 2 Solution

__________________________________________________________

So, A is the correct answer. Sorry for the late answer!

#teamtrees #WAP (Water And Plant)

worth 17 points please help

Answers

Translate to slope-intercept form:

10x-2y=3
-2y=3-10x
y=5x-(3/2)

So the slope is 5 and y-intercept is -3/2 (answer D)

what is the value of z?

Answers

Answer:

if a z-score is equal to +1, it is 1 standard deviation above the mean.

Step-by-step explanation:

The value of Z would be 30 degrees because it is equal to the other side which is also 30 degree a

1/4 diveided bye 9/10

Answers

the answer is 1/360

Answer:

10/36. that is your awnser as a fraction.

Please solve this I need it for class.

Answers

Answer:

A =1

B = 9

C = 8

D = 1

Answer:

A-1

B-9

C-8

D-1

i hope it helps

An ant travels at 45 cm every 3 minutes how far does the ant travel in 1 minute?

Answers

Answer:

15 cm every 1 minute

Step-by-step explanation:

Simply divide 45 by 3

A backpack that regularly sells for $26 is on sale for 25% off the regular price. What is the sale price of the backpack

Answers

Answer:

Sale price of backpack is $19.5

Step-by-step explanation:

Original price of backpack = $26

Discount = 25%

We need to find sale price.

First we will find amount that will be discounted, and then subtract from original price.

So, Finding discount price

[tex]25\%of 26\\=\frac{25}{100}\times 26\\=6.5[/tex]

So, there will be discount of $6.5

Now, the sale price will be:

Sale price = Original Price - Discount

Sale Price = 26 - 6.5

Sale Price = 19.5

So, Sale price of backpack is $19.5

HELP ASAP I will mark brainliest

Answers

The slope is y over x,

From the dot if you move 1 up and 3 to the right you would be at the point(0,-2) which would be the y intercept.

The equation would be y = 1/3x-2

Answer:

i feel like its B but im not very sure sorry :(

Step-by-step explanation:

If the ratio of red roses to yellow roses is 4 to 6 and there are a
total of 50 roses, how many of them are yellow?

Answers

Answer:

30 yellow roses

Step-by-step explanation:

4:6 means that there are 10 parts all together

divide the total number of roses by the amount of parts.

50 divided by 10 is 5.

to find out red roses, do 5 times 4,

to find out yellow roses, do 5 times 6

Esther is participating in a walk-a-thon. She Complete the statements.
will raise 5 dollars for her charity for each lap The equation is
she walks
As the number of
increases, the
Let l = the number of laps she walks
number of
also increases
Let d = the number of dollars she raises
Laps
1 2 3 4.
(1)
Dollars
5
10 15 20
2

Answers

Answer:

As the laps increases so does the dollar amount

Step-by-step explanation:

correct on edge

Answer:

1: d=5l

2: laps

3: dollars

Step-by-step explanation:

Got it right on edge.

i didn't realize i could edit so i put the answer below also.

Evaluate the expression when x = 4.5 and y = 5.2.
2x + 5y

Answers

Answer:

35

Step-by-step explanation:

2x = 2 times 4.5

    = 9

5y = 5 times 5.2

    = 26

2x + 5y is 9 + 26

= 35

35

Steps

2x + 5y

x = 4.5

y = 5.2

a. Substitute

2(4.5) + 5(5.2)

b. Multiply

9 + 26

c. Add

35

Therefore, the answer is 35.

Simplify the expression:

3(1 + g) =

Answers

Answer:

3 + 3g

Step-by-step explanation:

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