four interior angles of a hexagon are 114degree,130degree,140degree and 96degree. Find the size of each of the remaining two angles, if one of them is three times the other​

Answers

Answer 1

Answer:

60°  and 180°

Step-by-step explanation:

Sum of interior angles of a polygon = (n - 2) × 180°

(where n is the number of sides)

A hexagon has 6 sides

⇒ Sum of interior angles of a hexagon = (6 - 2) × 180° = 720°

Let x = smallest unknown angle

Therefore, 3x = largest unknown angle

Sum the angles and solve for x:

⇒ 114° + 130° + 140° + 96° + x + 3x = 720°

⇒ 480° + 4x = 720°

⇒ 4x = 720° - 480°

⇒ 4x = 240°

⇒ x = 60°

Therefore, smallest unknown angle = 60°

and largest unknown angle = 3 × 60° = 180°


Related Questions

Javier and his two friends are going to the basketball game. Each student pays $2 for their ticket and buys 3 snacks (all snacks cost the same). If all together, they spend $17.25, how much does each snack cost?

Answers

Answer:

Each snack cost $3.75.

Step-by-step explanation:

Javier and his two friends paid 6 bucks for their tickets in total.

If all together they spent 17.25 at the game, we can deduct 6 dollars from 17.25 so we can just get the snack total.

17.25-6=11.25

Since there are three people, and they bought 3 snacks, we can divide:

11.25/3=3.75

Each snack cost $3.75

Answer:

3.75 is z answer hope dis helped

Find the measure of the numbered angles

Answers

Answer:

1-90

2-55

3-35

Step-by-step explanation:

All the angles added up in one triangle should equal 180. Since you know 1 is a 90 degree angle, you add 90 and 55 to get 145, then subtract 145 from 180  to get 35. Two is 55 because the two angles are the same length. 3 is 35 because it is the unknown angle.

In a certain​ chemical, the ratio of zinc to copper is 3 to 19. A jar of the chemical contains 494 grams of copper. How many grams of zinc does it​ contain?

enter your response here

It contains grams of zinc.

Answers

Answer:

3216 grams of Zn

Step-by-step explanation:

It is not clear from the question if the ratio is based on the chemical formula, and is thus the ratio of atoms, or if it is based on mass (in g).  I'll assume it is based on the numbers of Zn and Cu atoms.

Let's convert the mass of copper, 494 grams, to moles of copper (representative of the number of atoms).  The molar mass of copper, Cu, is 63.55 grams/mole.  

Moles Cu =(494 grams)/(63.55 grams/mole) = 7.77 moles Cu

If zinc (Zn) is in a ratio of 19/3, we would have:

  (19 moles Zn/3 moles Cu)*(7.77 moles Cu) = 49.2 moles of Zn

The molar mass of zinc is 65.38 grams/mole

The mass of 49.2 moles of Zn is:

(49.2 moles Zn)(65.38 grams/mole) = 3216 grams of Zn

how do you write 13 is 1/3 of m as an equation

Answers

Answer:

13 = 1/3 · m

Step-by-step explanation:

the word 'is' means equals

the word 'of' means multiply

HELP WILL NAME BRAINLIEST

Answers

Answer:

YB= 11.2

Step-by-step explanation:

These triangles use scale factors.

Using scale factors, we can see that 7/15 is as (7+YB)/(15+24). Those are equal fractions, so we can set them equal to each other and solve for YB.

(7/15)=((7+YB)/(39)) solving for YB we get that it is equivalent to 11.2.

3 more than the product of 3 and y

Answers

Answer:

3y+3

Step-by-step explanation:

pls give brainly

Which graph represents a function?

Answers

Answer:

the third one (bottom left)

Step-by-step explanation:

all the others have at least one x value with multiple possible y values.

but for a function, there must be exactly 1 y value for each defined x value.

Solve the system of equations using elimination. How many solutions does the system have?

15x + 12y = 18
5x + 4y = 6

Answers

Answer:

  infinite solutions

Step-by-step explanation:

The coefficient of x in the first equation is 3 times the coefficient of x in the second equation. This means we can eliminate x by subtracting 3 times the second equation from the first:

  (15x +12y) -3(5x +4y) = (18) -3(6)

  0 = 0 . . . . . simplify (true for all values of x or y)

The system of equations has an infinite number of solutions.

what should be done to x^2-8xto create a perfect square
a. add 4
b. subtract 4
c. subtract 16
d. add 16

Answers

Answer:

d. add 16

Step-by-step explanation:

Take half of the x-term coefficient and square it then add it to the polynomial.

You have x² - 8x

The x-term coefficient is -8.

Half of -8 is -4.

Square -4 to get 16.

Answer: add 16

Find the equation of the line that is parallel to y=(2x-1)/3 and passes though (0,5)

Answers

Answer:

y = (2/3)x + 5

Step-by-step explanation:

y = (2x - 1)/3 is also

y = (2/3)x - 1/3

to get started on this question you will want to plug in the points and remove the - 1/3 as the slope is the same

5 = 0 + b

the b is the y intercept or what was -1/3 in the previous equation

thus when you write the equation for the line that is parallel to y=(2x-1)/3 and passes though (0,5)

you get

y = (2/3)x + 5

need help on this question please!!!!

Answers

Step-by-step explanation:

the area of a triangle is

baseline × height / 2

our baseline here is

5 + 9 = 14 ft.

the height is 12 ft.

so, the area is

14×12 / 2 = 14×6 = 84 ft²

What type of association does the graph show between x and y?

Linear positive association
Nonlinear positive association
Linear negative association
Nonlinear negative association​​

Answers

Lineear positive association

Step-by-step explanation:

because the horizontal line is +x and vertical line is +y

write an equation in slope-intercept form for the line with y-intercept 3 and slope -3

Answers

Answer:

y = -3x + 3

Step-by-step explanation:

y = mx + b

m is slope

b is y-intercept

substitute slope and y-intercept into the formula

y = -3x + 3

What does X equal in this 30-60-90 triangle?

Answers

Answer:

Well in a 30-60-90 triangle there are 2 rules

The short leg is “x” (for now)

The hypotenuse leg is twice the shorter leg (2x)

And the longer leg is x√3

Now using that information we can tell that the hypotnuse here is 19. It’s flipped over.

We know that x is the shorter leg here. So its half of the hypotnuse (19).
19/2 = 9.5

X= 9.5

What is the factorization of 81a6 - 100? (9a2 − 10)(9a3 10) (9a2 − 10)(9a3 − 10) (9a3 − 10)(9a3 10) (9a3 − 10)(9a3 − 10)

Answers

Answer:

(9 a³− 10)(9a³+ 10)

Step-by-step explanation:

With a fair die, the probability of rolling any number 1 through 6 is the same. If P(1) represents the probability of rolling a 1, P(2) the probability of rolling a 2, and so forth, what is the value of: P(1) P(2) P(3) P(4) P(5) P(6)?.

Answers

Using probability theory, the value of P(1) P(2) P(3) P(4) P(5) P(6) is [tex](1/6)^{6}[/tex].

What is probability?

Probability is the measurement of possibilities or chances.

Probability = [tex]\frac{FavourableOutcomes}{TotalOutcomes}[/tex]

In case of a die, favorable outcomes are 1 or 2 or 3 or 4 or 5 or 6 i.e. 1

Total outcomes are {1,2,3,4,5,6} ie 6

From the above formula,

Probability P(1) of rolling a 1 = 1/6

Probability P(2) of rolling a 2 = 1/6

Probability P(3) of rolling a 3 = 1/6

Probability P(4) of rolling a 4 = 1/6

Probability P(5) of rolling a 5 = 1/6

Probability P(6) of rolling a 6 = 1/6

P(1)P(2)P(3)P(4)P(5)P(6) = [tex]\frac{1}{6} *\frac{1}{6}*\frac{1}{6}*\frac{1}{6}*\frac{1}{6}*\frac{1}{6} = (\frac{1}{6} )^{6}[/tex]

Therefore, the value of P(1) P(2) P(3) P(4) P(5) P(6) is [tex](1/6)^{6}[/tex].

to get more about probability visit:

https://brainly.com/question/24756209

Answer:

A: 1/6.1.B: 3.B: different.

Step-by-step explanation:

how many square feet of out door carpet will we need for this hole​

Answers

Answer:

36ft2 (sos if im wrong!)

Step-by-step explanation:

area of triangle

base x height / 2

7 x 12 / 2 = 42ft2

area of rectangle

base x height

3 x 2 = 6ft2

42 - 6 = 36ft2

An angle measures 82º more than the measure of its complementary angle. What is the measure of each angle?

Answers

Answer:

Step-by-step explanation:

Let one angle be x

Other angle =x + 82

Complementary angles add up to 90

x + x + 82 = 90

2x + 82 = 90

     2x    = 90 - 82

     2x    = 8

         x = 8/2

x = 4

Other angle = x + 82

                     = 4 +82

                      = 86

The angles are: 4 , 86

❖ Question -:

An angle measures 82º more than the measure of its complementary angle. What is the measure of each angle?

❖ Explanation -:

Given -:

An angle measures 82º more than the measure of its complementary angle.

Need to find -:

Measure of each angle

Assuming -:

An angle measures 82º more than the measure of its complementary angle.

Let us assume one angle as x

Then other angle = (x + 82)

Solution -:

First we will make an equation

We know,

Complementary angles add up to 90°

x + (x + 82°) = 90°

→ x + x + 82° = 90°

→ 2x + 82° = 90°

→ 2x = 90° - 82°

→ 2x = 8

→ x = [tex]\cancel{\dfrac{8}{2}}[/tex]

→ x = 4

Substituting the value of x = 4

One angle = x = 4°

Other angle = x + 82° = (4 + 82)° = 86°

Final Answer -:

The angles are 4 and 86.

[tex] \rule{180pt}{2pt}[/tex]

Hurry please!!
Which linear equation represents the graph?A) y=-3x - 2
B) y = 3x + 2
C) y=-1/3x+2
D) y= 1/3 x - 2

Answers

Answer:

A) y = -3x -2

Step-by-step explanation:

1. start at point (-1,1)

2. move down 3 (-3) and over to the right 1 (1)

3. that makes your slope -3/1 which is just -3.

4. find your y-intercept: -2

5. using y=mx+b, plug in your numbers and you get

6. y = -3x -2

Hope this helps! Brainliest, please!

HELP ME PLEASE :((((

Answers

Answer:

D

Step-by-step explanation:

Its hard to explain but its D!

Answer is option D
Explanation: it is the same as 1/2 ( 4/8 =1/2)

Need help with these 3

Answers

Answer:

Step-by-step explanation:

Corresponding angles: When two parallel lines are intersected by a transversal, the acute angles on the same side are congruent & the obtuse angles on the same side of the transversal are congruent and they are called corresponding angles.

Co-interior angles: The interior angles on the same side of the transversal are called co -interior angles and they are supplementary.

a) c + 123 =  180    {linear pair}

 c = 180 - 123

c = 57

a = 123 {Corresponding angles}

b = a   {Vertically opposite angles are congruent}

b = 123

b) f + 82 = 180   {Linear pair}

f  = 180 - 82

f = 98

d = f        {Corresponding angles}

d = 98

e = d   {Vertically opposite angles}

e = 98

c) h = 75   {Corresponding angles}

g = h {Vertically opposite anges}

g = 75

Line e passes through points (10, 8) and (3, 5). Line f passes through points (3, 1) and (10, 4). Are line e and f parallel or perpendicular?

Answers

Answer:

e║f.

Step-by-step explanation:

1) the pointed vectors of the given lines are:

for line e: (3-10;5-8)=(-7;-3);

for line f: (10-3;4-1)=(7;3);

2) -7/7=-3/3=-1, it means the lines are parallel.

Type the correct answer in the box. spell the word correctly. the probability of event a is 0.65, and the probability of event b is 0.76. the probability of both event a and event b occurring is 0.494. are events a and b dependent or independent? in this scenario, events a and b are events.

Answers

Independent events are ones whose occurrence is not contingent on the occurrence of another event. The two events A and B are independent.

What are independent events?

Independent events are ones whose occurrence is not contingent on the occurrence of another event.

As it is given that the probability of event A occurring is 0.65, while the probability of event B occurring is 0.76. And the probability of both event A and event B occurring is 0.494.

We know that for two independent events the probability of both the events occuring is given by the formula,

[tex]\rm P(A\ and\ B)=P(A) \times P(B)[/tex]

Substitute the values of P(A) and P(B), we will get,

[tex]\rm P(A\ and\ B)=0.65 \times 0.76[/tex]

                   [tex]=0.494[/tex]

Since the probability of both the events occuring together is 0.494.

Hence, the two events A and B are independent.

Learn more about Independent Event:

https://brainly.com/question/3898645

8 ft 7 in. = in.
Ayudaaa help

Answers

103 inches is the correct answer

Answer:

103 inches

Step-by-step explanation:

So, Since we know that 12 in = 1 foot

all we have to do is multiply 12 by 8. Think of it like: what will 8 sets of 12 blocks give us?

8 x 12 = 96

So, 8 feet is 96 inches.

Now, Just add the 7 inches into the 96 inches.

96+7 = 103 inches

and then you are done!

;)

45x+90y=810
y=x+4
Find the solution

Answers

Answer:

45(x+2y)=810

x+2y=810/45

x+2y=18

x+2*(x+4) =18

x+2x+8=18

3x=10

x=10/3

y=10/3+4

Please help it's due today

Answers

Answer:

3.7 is the MAD

Step- By- step explanation

to find the MAD do these steps

To find the mean absolute deviation of the data, start by finding the mean of the data set.

Find the sum of the data values, and divide the sum by the number of data values.

Find the absolute value of the difference between each data value and the mean: |data value – mean|.

Find the sum of the absolute values of the differences.

Divide the sum of the absolute values of the differences by the number of data values.

I hope this answer helps you. Have fun doing I-Ready!

What type of transformation occurred if the quadratic parent function becomes y = 3x² + 9

Horizontal compression, vertical up

Vertical stretch, vertical up

Horizontal stretch, vertical down

Vertical compression, vertical down

Answers

Answer:

Horizontal compression, vertical up

Step-by-step explanation:

The 3 compresses the parent function

The 9 moves it up 9 Spaces

Answer:

Horizontal compression, vertical up . . . or ...Vertical stretch, vertical up

Step-by-step explanation:

The transformation to the parent quadratic function can be described either of two ways. For a quadratic, a vertical stretch can also be accomplished by a horizontal compression.

The transformations of interest here are ...

  g(x) = a·f(x) . . . . vertical stretch by a factor of 'a'

  g(x) = f(a·x) . . . . horizontal compression by a factor of 'a'

  g(x) = f(x) +a . . . . vertical translation by 'a' units

__

It is easy to see that the parent function f(x) = x^2 has had 9 added to it, so the function has been translated upward 9 units.

The transformation to 3x^2 can be accomplished either of two ways:

  3x^2 = 3(x^2) . . . vertical stretch by a factor of 3

  3x^2 = (x√3)^2 . . . . horizontal compression by a factor of √3

The attached graph shows either a horizontal compression or a vertical stretch will result in the same graph.

__

Additional comment

In the interest of using rational scale factors, we prefer the "vertical stretch, vertical up" description.

Adrianna has $16 worth of quarters and dimes. If Adrianna has 21/2 times as many dimes as she does quarters, how many quarters does she have?​

Answers

Answer:

32 quaters

Step-by-step explanation:

We have two unknowns, the number of quarters, Q and the number of dimes, D.

Since we have two unknowns, we need to come up with two equations using these unknowns

1st Equation) We know that 1 quarter = 0.25 dollars, 1 dime = 0.10 dollars and that Adriana has 16 dollars:

   0.25 *Q + 0.10 * D = 16 dollars

2nd Equation) The problem also states that Adriana has two and half (2.5) times as many dimes than quarters:

  D =2.5 * Q  

Substitute Equation 2 into Equation 1 and solve for Q, the number of quarters

0.25 * Q + 0.10 * (2.5 * Q) = 16.00

(0.25 + 0.25) Q = 16

0.5 * Q = 16

Q = 16 / 0.5 = 32

Adriana has 32 quarters.

Adriana also she  2.5 * 32 dimes, which means she has 80 dimes

Check the  results

0.25 * 32 + 0.10 *80 = 16.00

8.00 + 8.00 = 16.00

16.00 = 16.00

perform the following operation and express the answer in scientific notation 3.60x10^-12+3.60x10^-11

Answers

Answer:

3.60X10^-12 is equal to 0.360X10^-11 (move decimal one place left)

Step-by-step explanation:

Now you can add 3.60X10^-11 and 0.360X10^-11:

3.60X10^-11 + 0.360X10^-11 = 3.96X10^-11

You're really just adding 3.60 to 0.36 since the "X10^-11" is the same for both.

Find the exact circumference of a circle with the given radius. 36 inches C = 36 π in. 18 π in. 72 π in.

Answers

Step-by-step explanation:

the radius (r) is 36 inches, the circumference of the circle is C = 2pi r,

or C = 2pi(36 inches) = 72pi inches.

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