The diagram shows a regular hexagon and a parallelogram.
х
(112°
Work out the size of the angle marked x.
You must show all your working.
7
a
Total marks: 4​

The Diagram Shows A Regular Hexagon And A Parallelogram.(112Work Out The Size Of The Angle Marked X.You

Answers

Answer 1

Answer:

52°

Step-by-step explanation:

180-112=68

120-68=52

Answer 2

The size of the angle marked x is 52°.

Given that a hexagon and parallelogram share the same one vertex and the angle of the parallelogram is 112°

To determine the size of the angle marked x by  utilizing the properties of a regular hexagon and the given angle of 112°.

A regular hexagon has interior angles measuring 120° each. Since the hexagon is regular, all six interior angles are congruent. We can divide the hexagon into six equal triangles, each having an angle of 120°.

In parallelogram, the opposite angles are congruent  and the sum of adjacent angles is 180°.

The parallelogram adjacent to the hexagon shares the same vertex as the hexagon's interior angle.

Let the angle adjacent to 112° in parallelogram be a and a is adjacent to angle x in hexagon,

By using parallelogram property gives,

a + 112° = 180°

Subtract 112° from both the sides, gives,

a = 68°

x and a form one angle of the hexagon which is equal to 120° gives,

x + a = 120°

Substitute the value of a = 68° in the above equation

x+ 68° = 120°

Subtract 68° from both the sides, gives,

x = 52°

Hence, the size of the angle marked x is 52°.

Learn more about angles and polygons, click here:

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Related Questions

Help, my daughter is learning about finding lengths of unknown sides. I have no idea how to help on these three homework problems that are due by tomorrow. 4th grade

Answers

BC = 4
GE= 23
QR = 7
TR = 11
BD = 22
FG = 6

explanation: you have to look at the numbers at the opposite side of where it’s asking, for example the first one; on the opposite side of BC it’s 12 and other side is 8 and you have to find the space in between so to find BC you would have to subtract 12-8 and you’ll get 4
basically a bunch of subtraction and addition, just look at the numbers on the opposite side. hope this helps !

Part B and #2 please 15 points

Answers

Answer:

See answers below

Step-by-step explanation:

Perimeter of a square = 4L

L sis the side length of the square

L = 5x^4y^2

perimeter = 4(5x^4y^2)

perimeter = 20x^4y^2

2) Length = 6x-10

Width = 4x+3

Area of rectangle = Length * Width

Area of rectangle = (6x-10)(4x+3)

Area of rectangle = 24x^2+18x-40x-30

Area of rectangle= 24x^2-22x-30

perimeter = 2(L+W)

perimeter 2(6x-10+4x+3)

perimeter = 2(10x-7)

perimeter  = 20x-14

Hence the perimeter of the rectangle is 20x-14

What is the product?

One-third times 33.99

Answers

Answer:

11.33

Step-by-step explanation:

um I'm not that good at explaining but...

33/3=11

99/3=33

put it together

11.33

In a recent survey, 15 skydivers said that they have never had a skydiving accident. This was 60% of the total number of skydivers that were surveyed. What was the total number of skydivers surveyed?

Answers

Answer:

total sky divers is 25

Step-by-step explanation:

60% = 15 skydivers

divide by 6 both sides

10% = 2.5

times by 4 both sides

40%=10

_________

60%+40%=100%

15+10=25

Please find the square roots of the following complex number.

[tex]z = 81(\cos(\frac{4\pi}{9})+i\sin(\frac{4\pi}{9}))[/tex]

Answers

Hey there,

First, find the square root of the given equation.

[tex]\sqrt{z}=\sqrt{81(\text{cos}(\frac{4\pi}{9})+i\text{sin}(\frac{4\pi}{9})}\\=9\text{cos}\frac{1}{2}(2k\pi+(\frac{4\pi}{9}))+i\text{sin}\frac{1}{2} (2k\pi+(\frac{4\pi}{9}))[/tex]

Keep in mind that this is solved for k = 0 and 1.

Second, simplify.

[tex]=9\text{cos}(\frac{2\pi}{9})+i\text{sin}(\frac{2\pi}{9})~\text{or}~9\text{cos}(\frac{11\pi}{9})+i\text{sin}(\frac{11\pi}{9})[/tex]

Best of Luck!

A dressmaker needs to cut 9-inch pieces of ribbon from rolls of ribbon that are 9 feet in length. How many 9-inch pieces can the dressmaker cut from 10 of these rolls of ribbon?
Before you try that problem, answer the question below.
How many \textbf{inches}inches of ribbon does the dressmaker have, in total?

Answers

Answer: 12

Step-by-step explanation:

There are 108 inches in 9 feet and then you divide 108 by 9

A young sumo wrestler decided to go on a special high-protein diet to gain weight rapidly. When he started his diet, he weighed 79.5 kilograms. He gained weight at a rate of 5.5 kilograms per month.
Let y represent the sumo wrestler's weight (in kilograms) after x months.
Which of the following could be the graph of the relationship?
Choose 1 answer:

Answers

Answer:

It's the graphic A.

,,,,,,

EASY Work!! Please look at the picture and yes it’s easy for other people but not me for people asking.

Answers

Answer:

7()=11

8()=42

I could barely see the answer for number 9 sorry :(

Step-by-step explanation:

the 7() is 2(3)+5

2(3)=6

6+5=11

Question (8)

c^2+3a x b

c(6)^2+ 3(3) x 2/3

36+9 x 2/3

36+6=42

Answer:

(7)=11

(8)=42

Step-by-step explanation:

here

plssss help i just need the answer

Answers

Answer:

x=19

HOPE THIS HELPS

-Todo <3

Step-by-step explanation:

6x+3x-5+14=180

9x+9=180

   -9    -9

9x=171

/9   /9

x=19

Plz help ASAP WILL MARK U BRAINIEST

Answers

Hope this helps I tried to put the arrows where the answer goes

Carlos bikes 2 1/2 miles in 1/4 hours. At that rate, find the number of miles he would bike in 1 hour.
A. 5/8 miles
B. 2 3/4 miles
C. 5 miles
D. 10 miles

Answers

Answer: 10

Step-by-step explanation:

2.5 times 4

llyssa spent 3/8 of her money on a bag. she gave 2/5 of the remaining amount to her sister. What fraction of her money was left with?​

Answers

Answer:

3/8

Step-by-step explanation:

After spending 3/8 of her money on a bag, she has 5/8 of the original amount of money left. As she gave 2/5 of the remaining amount of money to her sister, she gave 1/4 of the original amount of money to her sister (5/8 × 2/5 = 1/4). Therefore, there's only 3/8 (1 - 3/8 - 1/4 = 3/8) of the original amount of money left in her bag.

Help plsssjsnsnsnsnndndndndnfnfnfnnffnnccnncncncnfnf

Answers

9514 1404 393

Answer:

  A)  3x +10y = 36

Step-by-step explanation:

The graph tells us the x-intercept is 12. The x-intercept is the value of x when y = 0. For some equation coefficients ax+by=36, the x-intercept is ...

  x-intercept = 36/a

Then the coefficient 'a' is ...

  a = 36/(x-intercept) = 36/12 = 3

Only one answer choice has an x-coefficient of 3 -- the correct one.

  3x +10y = 36

7. A shopkeeper buys a stove from a manufac-
turer. The shopkeeper sells the stove for $2 500
at a profit of 20%.
(a) What amount did the shopkeeper pay the
manufacturer for the stove?​

Answers

Answer:

I believe the amount that the shopkeeper would've paid for the stove is $2083

Step-by-step explanation:

2500×100/120 = 2083.33

Solve the equation for x: 126 = 3x.
A. x = 378
B. x = 129
C. x = 123
D. x = 42

Answers

Answer:

The answer is answer D, x=42.

Step-by-step explanation:

To isolate the variable, you need to divide both sides of the equation by three, using the division property of equality. 126/3=42 , and 3x/3=x , this gives you 42=x, or x=42, meaning the answer is D.

this is exactly what the question says:
"Solve the following system of equations."
-5x+3y=22
-6x+7y=23
I have to figure out x and y​

Answers

Answer:

x = - 5, y = - 1

Step-by-step explanation:

Given the 2 equations

- 5x + 3y = 22 → (1)

- 6x + 7y = 23 → (2)

Multiplying (1) by - 6 and (2) by 5 , then adding will eliminate the x- term

30x - 18y = - 132 → (3)

- 30x + 35y = 115 → (4)

Add (3) and (4) term by term to eliminate x

0 + 17y = - 17

17y = - 17 ( divide both sides by 17 )

y = - 1

Substitute y = - 1 into either of the 2 equations and solve for x

Substituting into (1)

- 5x + 3(- 1) = 22

- 5x - 3 = 22 ( add 3 to both sides )

- 5x = 25 ( divide both sides by - 5 )

x = - 5

Please answer this :/

Answers

Answer:

-60

Step-by-step explanation:

-45+s=-105

s=-105+45

s=-60

Write an equation of a line that has a slope of 3/4and passes through point (8,7)

Answers

To answer this go to the guys link on top

how many 1/3 inch cubes does it take to fill a box with width 2 2/3 inches length 3 1/3 inches and height 2 1/3 inches

Answers

Answer:

560/9 or around 63 cubes

Step-by-step explanation:

2 2/3 -> 8/3

3 1/3 -> 10/3

2 1/3-> 7/3

7/3 x 8/3= 56/9

56/9 x 10/3 = 560/27

560/27 divided by 1/3

= 560/9

Given that triangle ABC ~ XYZ, AB= 4,XY=3,and XZ= 5, find AC

Answers

Answer:

[tex]AC = \frac{20}{3}[/tex]

Step-by-step explanation:

Given

[tex]AB = 4[/tex]

[tex]XY = 3[/tex]

[tex]XZ = 5[/tex]

Required

Find AC

ABC XYZ

To solve AC, we make use of the following equivalent ratios.

[tex]AB : AC = XY : XZ[/tex]

This gives:

[tex]4 : AC = 3 : 5[/tex]

Express as fraction

[tex]\frac{4 }{ AC }= \frac{3 }{ 5}[/tex]

Cross multiply

[tex]3 * AC = 4 * 5[/tex]

[tex]3 * AC = 20[/tex]

Solve for AC

[tex]AC = \frac{20}{3}[/tex]

A study conducted to measure the academic performance and attention span of teenagers reported that the mean time to distraction for 80 teenage boys working on an independent task was 6.2 min in the study with a sample standard deviation of 2.1 minutes. Is there convincing evidence that the average attention span for teenage boys is more than 5 minutes

Answers

Answer:

we can conclude that there is significant evidence that there is convincing evidence that the average attention span for teenage boys is more than 5 minutes

Step-by-step explanation:

H0 : μ ≤ 5

H1 : μ > 5

Sample mean, xbar = 6.2

Sample Standard deviation, s = 2.1

Sample size, n = 80

The test statistic :

(xbar - μ) ÷ (s/sqrt(n))

(6.2 - 5) ÷ (2.1 / sqrt(80))

1.2 ÷ 0.2347871

Test statistic = 5.1110133

Testing with α = 0.05

Using Pvalue from a test score calculator :

Pvalue = < 0.00001

0.00001 < 0.05

Since,

Pvalue < α ; We reject H0

Hence, we can conclude that there is significant evidence that there is convincing evidence that the average attention span for teenage boys is more than 5 minutes.

Draw the line of reflection that reflects △ABC onto triangle Δ A'B'C'

Answers

The line for the graph x=1 is the line of reflection that reflects triangle ABC onto triangle A'B'C'.

You have to find the middle points between each pair of identical points and then join them.

The solution is, x = 1 will be the line of reflection.

What is reflection?

In mathematics, a reflection (also spelled reflexion) is a mapping from a Euclidean space to itself that is an isometry with a hyper plane as a set of fixed.

here, we have,

from the given information , we get,

Coordinates of the vertex A → (-4, -6)

Coordinates of the vertex A' → (6, 6)

Since, y-coordinates are same opposite in notation,

Therefore, by the rule of reflection, line of reflection will be a line parallel to y-axis.

And points A and A' will be equidistant from the line of reflection.

Midpoint between A and A' = (x1+x2/2) , (y1+y2/2)

                                             = (-4+6 / 2 , -6+6 /2)

                                             = (1, 0)

Therefore, x = 1 will be the line of reflection.

To learn more on reflection click:

brainly.com/question/15487308

#SPJ2

3/4x - 7 > 5
whats the inequality ?

Answers

Answer:

x > 16

Step-by-step explanation:

3/4x > 12

3x > 48

x > 16

hope this helps

PLS HELP ME ASAPPP!!!!​

Answers

Answer:f is the answer

Step-by-step explanation:

Can y’all help me on question four?!

Answers

Answer:

I believe the answer is B

Step-by-step explanation:

Work for E and F- 20/50=20X2=40                40 divided by 100 is 40%

                                          50X2=100               and 40/100

the answer I got is c.$1750

Solve for a.
−10 = 1/5 a


Solve for n.
3(n – 8) = -12



Solve for x.
8 + 4x = -16






• You order 4 chicken sandwiches and a hamburger. The cost of a hamburger is $2.50 and the total bill is $14.30. Find the cost of a chicken sandwich
part 1 of the word problem
Verbal Model:

part 2 of the word problem
Algebraic Equation:

please with all equations show your work.

Answers

Step-by-step explanation:

for the first one multiply the equation by 5

5(-10)=5(1/5)a

-50=a

2.  3(n-8)=-12

divide the equation by 3

(3(n-8))/3=-12/3

(n-8)=-4

add 8 to both sides

n-8+8=-4+8

n=4

3.   8+4x=-16

subtract the whole equation by 8

-8+4x=-16-8

4x=-24

divide the equation by 4

4x/4=-24/4

x=-6

4. 4 chicken sandwiches at $2.50 each, to find the value of all the values for all 4 sandwiches is 4(2.50)=10

and since there is only one hamburger you just need to find the value for the one burger which is x.

4(2.50)+1(x)=14.30

10+x=14.30

subtract the equation by 10

10-10+x=14.30-10

x=4.30

Hope this helps :)

Answer:

thanks Thankyou for points ty ty

The 7% sales tax on a new $32,000 car.

Answers

Answer:

$34,240

Step-by-step explanation:

7% of $32,000 is $2,240

$32,000+$2,240=$34,240

I need help please help

Answers

Answer:

132.67 ft^2

Step-by-step explanation:

this sector's area equals the area of the whole circle divided by four;

the whole are = r x r x 3.14 = 13 x 13 x 3.14 = 530.66

the sector's area = 530.66/4 = 132.67 ft^2

Can y’all help me on question 25

Answers

I think it’s C
Sorry if it’s wrong
I think it’s d sorry if It wrong

please answer !! will give brainliest

Answers

Answer:

7.10 I think its 7.10

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