If a rhombus is inside a regular hexagon, what is the size of x

Answers

Answer 1

Answer: x = 60°

Step-by-step explanation:

The rest of the question is the attached figure.

Given: A rhombus inside a regular hexagon, work out the angle x.

As shown

ABCDEF is a regular hexagon.

The regular hexagon have 6 congruent angles, and the sum of the interior angles is 720°

So, the measure of one angle of the regular hexagon = 720/6 = 120°

So, ∠F = ∠BAF = 120°

AFEG is a rhombus.

The rhombus have 2 obtuse angles and 2 acute angles.

∠F is one of the obtuse angles of the rhombus = 120°

∠F and ∠FA G are supplementary angles

So, ∠F + ∠FA G = 180°

∴ ∠FA G = 180° - ∠F = 180 - 120 = 60°

∴ x = ∠GAB = ∠BAF - ∠FA G = 120 - 60 = 60°

So, the measure of the angle x = 60°


Related Questions

Let x = any negative rational number, which statements are true? SElect all that apply.

X is a positive number
x is the opposite of X
X is equal to X
X is greater than X
X is Greater than the distance from 0 to X on the number line

Answers

Answer:

X is the opposite of X

Step-by-step explanation:

#CarryOnLearning

Identify the property that is used in each statement.
HELP ME PLEASE DUE IN 15 minutes!!!??

Answers

Answer:

65

Step-by-step explanation:

3. Which ordered pair is a solution of the equation y = x - 4? (1 point)
O (2,6)
O (6,2)
O(-2, 6)
O(-6, 2)

Answers

Answer:

Question 3: (6,2)

Question 4: (-1,-4)

Step-by-step explanation:

Look above to see each graphed⤴⤴⤴

Hope this helped :)

Fern is doing her holiday shopping. She wants to buy a game for her little sister. The game is regularly priced at $32, but it is on sale for $20.80. What is the percentage of the discount for the game?

Answers

The discount of the game would be $9.02

f(x) = -x2 + 3x + 13
Find f(-10)

Answers

Answer:

f(x) = -x2 + 3x + 13

f(-10) = - (-10)2 + 3(-10) + 13

f(-10) = 20 - 30 + 13

f(-10) = 3

Find the y-intercept and the slope of the line.
- 7x - 4y = -20

Answers

Slope is 7/4, aka 1 3/4.

Y intercept is 5

Answer:

y int.=5

slope=-7/4

Step-by-step explanation:

-7x-4y=-20

+7x       +7x

-4y=7x-20

/-4 /-4 /-4

y=-7/4x+5

the first term in the arithmetic sequence is 28 while the 12th term is 105. what's the common difference?

another help huhuu​

Answers

Answer:

scscnkscnsonvocnevdvdv1Martin Luther King Jr. often spoke of a day in the future when he hoped that his children would be judged not by their skin color but instead by their character. Write a narrative essay about a moment in your life when you were judged by something other than the content of your character. Use narrative techniques to develop experiences, events, and characters.Blake Griffinjhjdjjjskoxnsjjjsosncnsocnwfojowdjiwjciscj9wjfw9jfw9fjw9fj9wfjwfwfegehegehehehDominique WilkinsKobeDominique WilkinsVince CarteMartin Luther King Jr. often spoke of a day in the future when he hoped that his children would be judged not by their skin color but instead by their character. Write a narrative essay about a moment in your life when you were judged by something other than the content of your character. Use narrative techniques to develop experiences, events, and characters.Julius Erving;-;Martin Luther King Jr. often spoke of a day in the future when he hoped that his children would be judged not by their skin color but instead by their character. Write a narrative essay about a moment in your life when you were judged by something other than the content of your character. Use narrative techniques to develop experiences, events, and characters.KobeDominique Wilkinsjhjdjjjskoxnsjjjsosncnsocnwfojowdjiwjciscj9wjfw9jfw9fjw9fj9wfjwfwfegehegehehehBlake GriffinMartin Luther King Jr. often spoke of a day in the future when he hoped that his children would be judged not by their skin color but instead by their character. Write a narrative essay about a moment in your life when you were judged by something other than the content of your character. Use narrative techniques to develop experiences, events, and characters.Dominique WilkinsDominique Wilkinsblack smoke led dual headlights 2006 honda accordblack smoke led dual headlights 2006 honda accordHow to wrap a 2006 honda accord 2 door How to wrap a 2006 honda accord 2 door black smoke led dual headlights 2006 honda accordblack smoke led dual headlights 2006 honda accordHow to wrap a 2006 honda accord 2 door black smoke led dual headlights 2006 honda accord5108 hekili rdKapaa HI 96746378969jhjdjjjskoxnsjjjsosncnsocnwfojowdjiwjciscj9wjfw9jfw9fjw9fj9wfjwfwfegehegehehehMartin Luther King Jr. often spoke of a day in the future when he hoped that his children would be judged not by their skin color but instead by their character. Write a narrative essay about a moment in your life when you were judged by something other than the content of your character. Use narrative techniques to develop experiences, events, and characters.KobeBlake GriffinMartin Luther King Jr. often spoke of a day in the future when he hoped that his children would be judged not by their skin color but instead by their character. Write a narrative essay about a moment in your life when you were judged by something other than the content of your character. Use narrative techniques to develop experiences, events, and characters.Julius ErvingKobeMartin Luther King Jr. often spoke of a day in the future when he hoped that his children would be judged not by their skin color but instead by their character. Write a narrative essay about a moment in your life when you were judged by something other than the content of your character. Use narrative techniques to develop experiences, events, and characters.Martin Luther King Jr. often spoke of a day in the future when he hoped that his children would be judged not by their skin color but instead by their character. Write a narrative essay about a moment in your life when you were judged by something other than the content of your character. Use narrative techniques to develop experiences, events, and characters.Martin Luther King Jr. often spoke of a day in the future when he hoped that his children would be judged not by their skin color but instead by their character. Write a narrative essay about a moment in your life when you were judged by something other than the content of your character. Use narrative techniques to develop experiences, events, and characters.jhjdjjjskoxnsjjjsosncnsocnwfojowdjiwjciscj9wjfw9jfw9fjw9fj9wfjwfwfegehegehehehBlake GriffinJulius ErvingMartin Luther King Jr. often spoke of a day in the future when he hoped that his children would be judged not by their skin color but instead by their character. Write a narrative essay about a moment in your life when you were judged by something other than the content of your character. Use narrative techniques to develop experiences, events, and characters.Dominique WilkinsVince Carte;-;

6.4


Arithmetic is adding not multiplying so knowing that can help us out. The first term is 28 and the 12th is 105 so subtract 28 from 105 and you get 77. 77 divided by 12 is 6.4.

Hope this helps

9 out of 45 apples are red.the situation is looking for the (part, whole, percent)

Answers

The answer would be 20% divide 9 by 45 and you get the answer of 0.2. When we use percents, we multiply the value by 100 so 0.2 x 100 you move the decimal over 2 places to the right. This means it would be 20% of the whole.

Bernie and his friends recorded how much they grew since the beginning of the school year.
Height increase
What is the average amount that the students grew?
Write your answer as a fraction, mixed number, or whole number.

Answers

Answer:

12 feet

Step-by-step explanation:

lxw

I need a equation written for this pleeeeeaaaassse! The constant of proportionality is 2.
but I need an equation for this, I have an attachment for you to help.

Answers

Answer:

Step-by-step explanation:

g=c

Answer:

The number of cupcakes are twice the number of guests.

g * 2 = c

I hope this helps you

James bought 4 goldfish, and his Mom got him 4 more for his birthday. What size tank (in gallons) does James need to hold all of the full-grown fish?

Answers

Answer:

I would say about 20 feet. Just because for all the furniture and stuff like that.

Step-by-step explanation:

Hope this helps:)

8 b.
A boat can travel 42 miles on 7
gallons of gasoline. How far can it
travel on 2 gallons?

Answers

Answer:

12 miles

Step-by-step explanation:

42÷7=6

6×2=12

Good luck!

Answer:

12 miles on 2 gallons of gasoline

Step-by-step explanation:

First, we need to find the unit rate and that can simply be found by dividing.

So we divide 42 miles by 7 gallons which equal 6.

So we know for every One gallon there is 6 miles. So we simply multiply 6 and 2 and we get an answer of 12 miles.

So therefore the answer is a boat can travel 12 miles on 2 gallons of gasoline.

matthew paid 49.45 for 5 used video games of equal cost. the relationship between the number of video games and the total cost is proportional. what is the total cost for 11 used video games? use any strategy

Answers

Answer:

$108.79

Step-by-step explanation:

49.45÷5=9.89

9.89=the cost for 1 video game

9.89×11=108.79

(11=the used video games)

The answer would be $108.79 for 11 used video games.

Write each repeated multiplication as a
power. Calculate.
a) 2 2 2
b) 2.5 2.5
c) 10 10 10 10 10
d) 0.3 0.3 0.3 0.3

Answers

a) 2^3
b) 2.5^2
c) 10^5
d) 0.3^4

Find two consecutive even integers such
that 5 times the smaller integer is 44 more
than 2 times the larger integer.

Answers

Step-by-step explanation:

5n = 44 + 2(n+2)

5n = 44 +2n+4

5n-2n = 48

3n = 48

n = 16

the integers are : 16 and 18

Find x to the nearest tenth.

18.7
1.3
19.3

Answers

To solve this problem, we will need to use trigonometry.

Remember: SOH-CAH-TOA

Looking from the angle, we know the opposite side and want to find the adjacent side. Therefore, we should use the tangent function.

tan(15) = 5 / x

x * tan(15) = 5

x = 5 / tan(15)

x = 18.7 units

Hope this helps!! :)

Question 5 of 10
Pardis bought opening night tickets to a movie she had been excited about
seeing for a long time. Midway through the movie, she realizes it's bad and
wishes she had stayed home. Which question should Pardis have asked
herself before spending the money on the ticket?
A. Am I overspending?
B. Am I buying for the right reason?
Ο Ο Ο Ο
c. Am I purchasing on a whim?
D. Are my expectations too high?
SUBMIT

Answers

Answer: d bc I can't tell what  is supposed to say.

A rectangular garden has an area of 46 1/2 square feet. If the garden is 7 1/2 feet long, how many feet wide is it?

Answers

Answer:

The answer is 6 1/5 feet in width.

Step-by-step explanation:

Since the formula for area is wl or width x length, we can utilize our reversive property to find our width by dividing the Area we are given by our length, giving us the missing width in return. Dividing 46.5 square feet by 7.5 feet gives us 6.2 feet, or 6 1/5 feet.

Hope this helps!

PLEASE HURRY ITS DUE IN 20 MINUTES, I’ll GIVE EXTRA EXTRA POINTS

Some people advice that in very cold weather you should keep the gas tank in your car more than half full Irenes car head 6.5 gallons in a 16 gallon tank on the coldest day of the year Irene Field tank with gas that cost $3.80 per gallon how much did Irenes spend on gas

Answers

26.60  if not

so sorry im also very small brain like u

           

           

$18 haircut; 10% discount
work it out

Answers

Answer:

$16.20 with the discount

Answer:

$16.20

Step-by-step explanation:

Simplify the expression
(-2r^3 s^5)^5

Answers

For me I got -32r^15s^25

Enter the equation of the line in the form y=mx+b, where m is the slope and b is the y-intercept.

Answers

Answer:

slope intercept form is "y= -3/2+6"

Help me please please

Answers

Answer:

No

Step-by-step explanation:

According to the attached table, his taxes would be around 22%

Then

$68300 * (1 - 0.22) = $53.274

PLEASE SOMEONE HELP ME


Question 2 (6 points)

Jonny is writing a program for a video game.
For one part of the game he uses the
rule given below to move objects on the screen.

Showing all your work, give the output that the rule gives for the inputs.
(x, y) + (2 – 7.5, y + 6.8)
First input: (4.4.2.5)
Second input: (9.7, -2.9)

Answers

Answer:

.

Step-by-step explanation:

Answer:

(-3.2 , 12.3)

(0.7 , 3.6)

Step-by-step explanation:

The rule :

(x, y)→(x−7.5, y+6.8)

For the x - coordinate ; Subtract 7.5

For the y - coordinate `; add 6.8

First input : (4.3, 5.5)

Output :

x = 4.3 - 7.5 = - 3.2

y = 5.5 + 6.8 = 12.3

Output = (4.3, 5.5) →(-3.2 , 12.3)

Second input : (8.2, -3.2)

Output :

x = 8.2 - 7.5 = 0.7

y = - 3.2 + 6.8 = 3.6

Output = (8.2, -3.2)→(0.7 , 3.6)

The outputs obtained are :

(-3.2 , 12.3) and (0.7 , 3.6)

What is an equation of the line that passes through th (3,-1) and has a slope of 2?​

Answers

The given point to us is (3,-1) and the slope of the line is 2 . We can use the point slope form of the line as ,

[tex]\sf\longrightarrow m ( x - x_1) = y - y_1[/tex]

Substitute the values ,

[tex]\sf\longrightarrow 2( x - 3 ) = y - (-1) [/tex]

Simplify LHS and RHS ,

[tex]\sf\longrightarrow 2x - 6 = y +1 [/tex]

Put all terms on one side ,

[tex]\sf\longrightarrow \boxed{\bf 2x - y -7=0} [/tex]

help.....please please ​

Answers

Answer:

An equilateral triangle is shown in the image. An equilateral triangle has 3 angles of 60 degrees in order to equal 180 degrees which is the definition of a triangle.

Find the unit rate:
150 words read in 8 minutes

Answers

Step-by-step explanation:

the unit rate: 150/8 × 60 minutes =

1,125 words/hour

Answer:

18,75 word read/minutes

or :

1,125 word read/hour

Step-by-step explanation:

The unit rate :

= 150 words read : 8 minutes

= 150/1 words read : 8/1 minutes

= 150/1 × 1/8 word read/minutes

= 150/8 word read/minutes

= 18 6/8 word read/minutes

= 18 3/4 word read/minutes

= 18,75 word read/minutes

= 1,125 word read/hour

Help !! Multiply: 2w(w+17)

Answers

Answer:

2w^2 + 34w

Step-by-step explanation:

2w(w+17)

Multiply the 2w by each term in the parentheses

2w*w + 2w*17

2w^2 + 34w

What is the distance between Uranus in the sun in scientific notation?

Answers

Answer:

Step-by-step explanation:

I'll be your bestie if you help me out sis !!!!! Find the surface area of the cylinder. Give your answer to two decimal places. SHOW YOUR WORK so I can see if it makes sense!

Answers

Answer:

Surface Area of the Cylinder is 1156.11

Step-by-step explanation:

To find the Surface Area of a Cylinder, the equation given is  A = 2πrh+2πr2

Given the radius and height of the cylinder, we plug those numbers into the equation to get;

A = 2π(8)(15)+2π(8)2

= 1156.11

Answer:  

1155.52 cm²

Step-by-step explanation:

SA = LSA (Pb x h) + 2B                  

- r = 8 cm, h = 15, π (pi) = 3.14

Lateral Surface Area (LSA) = Pb (Perimeter of base) x h (height)

8 x 2 = 16 x 15 = 240 x 3.14 = 753.6

Area of the Base x 2 = πr² x 2

8² x 3.14 = 64 x 3.14 = 200.96 x 2 = 401.92

753.6 + 401.92 = 1155.52

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