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

I still need to know this and the blank5.) 48 : _______ = 8 : 9

Answers

48:54=8:9 hope this helps!! If you’re not sure you can check by cross multiplying 48x9 and 54x8!!

Mel sells jumbo cheesy pretze nuggets in a 5 nugget "diet" size, a 8 nugget "share" size, and a 14 nugget "party size". What is the greatest total number of jumbo cheesy pretzel nuggets that cannot be purchased from Mel?[example it is possible to buy 8 nuggets but not possible to buy 9 nuggets.]

Answers

Answer: 15??

Step-by-step explanation:

b^(3) * b^(4) write without exponents

Answers

Answer:

(b×b×b)×(b×b×b×b)

Step-by-step explanation:

Writing the equation out is the only way to remove the exponents.

The answer would be (b*b*b) * (b*b*b*b)

Which graph represents the rational function x^2-16/x^2-2x-8?

Answers

Answer:

8

Step-by-step explanation:

Answer:

C on edg 2022

Step-by-step explanation:

got 100%

Jamal's parents give him $20 to spend at camp . Jamal spends the same amount of money on snacks each day . After 4 days he has $12 left . What rate is Jamal spending money ? Calculate the slope using the formula

Answers

Step-by-step explanation:

20 - 12 = 8 so he spent 8$ in 4 days.

8 ÷ 4 = 2, so he spent 2$ each day

The rate of Jaman spending money every day will be $2.

What is an expression?

The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.

Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.

Given that Jamal's parents give him $20 to spend at camp. Jamal spends the same amount of money on snacks each day. After 4 days he has $12 left .

The rate of spending money every day will be calculated as,

Spending in 4 days, 20 - 12 =$8

Rate of spending  = 8 ÷ 4 = $2

Therefore, the rate of Jaman spending money every day will be $2.

To know more about an expression follow

https://brainly.com/question/11352248

#SPJ5

solve for r to find the missing term in geometric sequence

hi can someone please answer my question. thank you ❤️​

Answers

Step-by-step explanation:

given :

120, 60, 30, _, _, _

find r!

solution :

r = 60/120 = ½.

=> 120,60,30, 15, 15/2 , 15/4 , ...

Step-by-step explanation:

Calcute the ratio :

r = Un/Un-1

r = 60/120

r = ½

Calculate 4th term :

Un = ar^n-1

U4 = 120 × ½^4-1

U4 = 120 × ½³

U4 = 120 × 0.125

U4 = 15

Calculate 5th term :

Un = ar^n-1

U5 = 120 × ½^5-1

U5 = 120 × ½⁴

U5 = 120 × 0.0625

U5 = 7.5

Calculate 6th term :

Un = ar^n-1

U6 = 120 × ½^6-1

U6 = 120 × ½⁵

U6 = 120 × 0.03125

U6 = 3.75

Multiply (-5)^3 (raised to the third power)

Answers

Answer:

- 125

Step-by-step explanation:

[tex](-5)^{3}[/tex]

= - 5 × - 5 × - 5

= 25 × - 5

= - 125

Answer:

-125

Step-by-step explanation:

-5^3= -5x-5x-5

-5^2=-5x-5= 25

25x-5=-125

A construction worker has a rope that is 6 ft long. he needs to cut it into pieces that are 2/3 ft long. how many such pieces can he cut without having any rope leftover?

multiply and simplify.​

Answers

Answer: 9 pieces of rope.

Jordan started a new diet when he weighed 300 pounds. He lost an average of 5 pounds per week. Which of the following equations represents this situation?​

Answers

I believe the answer is 300-5x
x being the amount of weeks

ill give brainliest just gimme the one i selected pls the first one

Answers

Answer:

50

Step-by-step explanation:

Answer:

okokokokok

Step-by-step explanation:

PLS ANSWER THE FOLLOWING QUESTION
AND I'LL MARK U AS BRAINLIST


STEP BY STEP EXPLANATION NEEDED

Answers

Answer:

140+x+x = 180°(co-interior angle)

140+2x=180°

2x=180°-140°

2x = 40°

x = 40°/2

x = 20°

check:

140+20+20 = 180

180=180

Pls, help this is abt to be overdue in an hour Select from the drop-down menus to correctly complete the statements about the expression a8+6b .
The expression a8+6b is a
A. Sum
B. Difference
. The term a8 is an added, but it is also a
A. quotient
B. Difference
. The term 6b is an added, but it is also a
A. Sum
B. Product

Answers

Answer:

I believe the answers to be:

A. "Sum"

B. "Quotient"

A. "Sum"

please answer, it’s a test

Answers

Answer:

A

Step-by-step explanation:

The inverse of 2x would be 1/2 x and the inverse of +6 would be -6.

8+7+5+7+9



Mathematics middle school


Answers

Answer:

36

Step-by-step explanation:

hope this helps

8+7+5+7+9

15+5+7+9

20+7+9

27+9

36

= 8+7+5+7+9

= 15+5+7+9

= 20+7+9

= 27+9

= 36

The answer is 36.

On a Physical Science exam, students earn 3 points for a correct response, 1 point for a partially
correct response, and 0 points for an incorrect response Suppose a student had 8 partially correct
responses and 4 incorrect responses and received a total of77 points on the exam. Write an
equation that can be used to solve for the number of correct responses the student had. Use c to
represent correct responses.
O 77=C+4
077 - 3C+8
O 77= 30+ 4
O 77= C+8

Answers

Answer:

77=c=8

Step-by-step explanation:

express 23/15-7/10 as a percentage​

Answers

Answer:

83.3%

Step-by-step explanation:

Someone pls help me I will make you as brain

Answers

Answer:

B: shift vertically up by 3

Step-by-step explanation:

I suggest using desmos graphing for future questions like these

Hope this helps :)

What is the y-intercept of the line shown below? Enter your answer as a coordinate pair.

Answers

Answer:

The x intercept is (-2,0)

the y intercept is (0,4)

PLZZZ HELPPPP ILL MARK BRAINLIEST TO FIRST AND CORRECT ANSWER THAT HAS WORK AND A THX TO SECOND AND CORRECT ANSWER.

Answers

Answer:

well I think it is none of these because the square root would be 9^2

Step-by-step explanation:

Answer:

9^2

Step-by-step explanation

if the are is 81 then you have to think for th numbers like if the are was 20

it would be 5x4=20cm sorry i can't type in anything special  ti won'y let me

4) Ashley's Bikes rents bikes for S13 plus $5

per hour. Mary paid $38 to rent a bike.

For how many

hours did she rent the bike?

Answers

Answer:

6 hours.

Step-by-step explanation:

1st hour - 13

2nd hour - add 5 = 18

3rd hour - 23

4th hour - 28

5th hour - 33

6th hour - 38 (which is the end total)

simplfy the expression [tex]\sqrt110x^{17} y^{12}[/tex]

Answers

I'm going to assume the square root goes over everything.  

To simplify this, you need to find perfect squares under the radical that are factors of the entire [tex]110x^{17}y^{12}[/tex].

[tex]\sqrt{110x^{17}y^{12}} = \sqrt{x^{16}y^{12}\cdot 110x^{1}}[/tex]

Now that stuff in the front will interact nicely with the square root, but the stuff in the back doesn't, so it just stays under the radical.

[tex]\sqrt{x^{16}y^{12}\cdot 110x^{1}} = \sqrt{x^{16}y^{12}}\cdot \sqrt{110x^{1}} =x^8y^6\cdot \sqrt{110x}[/tex]

And that end piece is the simplified answer.

Answer:

no

Step-by-step explanation:

sorry bru but i dont understand [tex]\sqrt110x^{17} y^{12}[/tex]

5x + 8 + 3x + 4 = -40 +4

Answers

Answer:

x=-6

Step-by-step explanation:

Answer:

[tex]x=-6[/tex]

Step-by-step explanation:

[tex]5x+8+3x+4=-40+4[/tex]

⇒ Subtract 4 from both sides:

[tex]5x+8+3x+4-4=-40+4-4[/tex]

[tex]5x+8+3x=-40[/tex]

⇒ Combine like terms:

[tex]5x+3x=8x[/tex]

[tex]8x+8=-40[/tex]

⇒ Subtract 8 from both sides:

[tex]8x+8-8=-40-8[/tex]

[tex]8x=-48[/tex]

⇒ Divide both sides by 8:

[tex]\frac{8x}{8}=\frac{-48}{8}[/tex]

[tex]x=-6[/tex]

________________________

-5g - 6 for g =2
please help
A:4
b:16
C:10
D: -13

Answers

Answer:

-16

Step-by-step explanation:

-5g - 6

-5(2) - 6

-10 - 6

-10 + (-6)

-16

A group of students left school at 8:00 am on a field trip to a science museum 90 miles away. Which best the average speed of the bus if they arrived at 10:00

Answers

Answer:

45 mph

Step-by-step explanation:

90 / 2 = 45 mph

How do I find X and Y intercept in this please help

Answers

Answer:

Finding x-intercepts and y-intercepts

To determine the x-intercept, we set y equal to zero and solve for x. Similarly, to determine the y-intercept, we set x equal to zero and solve for y. ...

To find the x-intercept, set y = 0 \displaystyle y=0 y=0.

To find the y-intercept, set x = 0 \displaystyle x=0 x=0.

Step-by-step explanation:

Water freezes at 0◦ Celsius and 32◦ Fahrenheit and it boils at 100◦C and 212◦F.

Answers

Answer:

Step-by-step explanation:

This is very true because everybody knows when water freezes at 0º and it will boil at a high temperature too so you're right

:)

HELP ASAP I'LL GIVE BRAINIEST


Maggie was constructing a set of perpendicular lines with a compass and straightedge. However the teacher said that she made an error on her construction and she wants Maggie to fix her mistake. Find Maggie’s mistake and summarize what she did wrong and what she needs to do to fix the construction.

Answers

Answer:

She used a tool that's meant to draw a circle to draw 2 stragith lines

Step-by-step explanation:

A number that multiplies a variable in a term is a_____.

A. factor
B. coefficient
C. term
D. variable

Answers

Answer:

coefficient

Step-by-step explanation:

Answer: Answer:

Step-by-step explanation:

3) if the cost of 1 pen is Rs.10, find the cost of 5 pen​

Answers

Answer: 5 pens cost Rs.50

Explanation: Since 1 pen costs Rs.10, you will need to multiply the number of pens (1) and the cost of that number of pens (Rs.10) by the amount of pens you must find the cost for (5). Since 10 times 5 is 50, that means that 50 is the cost of 5 pens.

I hope this helps!

The ratio of the number of men to the number of
women working at Forms, Inc. is 7:2. Altogether there
are 360 workers at the company. How many of the
workers are women?

Answers

Answer:

280 men; 80 women.

Step-by-step explanation:

this task can be solved used system of two equation (note, it is not the only and shortest way):

1) if number of men is 'm', women is 'w' and ratio is 7:2, then it is possible to write the first equation: m/w=7/2;

if together there are 360, then it is possible to write the second equation of the system: m+w=360.

2) after item 1 it is possible to make up and solve the system:

[tex]\left \{ {{m/w=7/2} \atop {m+w=360}} \right. \ => \ \left \{ {{7w=2m} \atop {m+w=360}} \right. \ => \ \left \{ {{m=280} \atop {w=80}} \right.[/tex]

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