A polygon is broken up into 4 non-overlapping triangles by drawing lines from one vertex to all other non-adjacent vertices. What is the name of the polygon?

A) Octagon
B) Hexagon
C) Heptagon
D) Quadrilateral

Answers

Answer 1

Answer :

The Correct Option is B) Hexagon

Step-by-step explanation :

Let number of sides in a polygon be n

The triangles are created by drawing the diagonals from one vertex to all the others.

Since there is no overlapping of the triangles so no diagonal will be drawn back to itself, and the diagonals to each adjacent vertex would lie on top of the adjacent sides, therefore number of diagonals from a single vertex is three less the the number of sides, or n - 3 and the number of triangles is one more than that, so n - 2.

⇒ Number of triangles = number of sides in polygon - 2

⇒ Number of triangles = n - 2

⇒ n = 4 + 2

⇒ n = 6

And the polygon containing 6 sides is called Hexagon

Hence, the correct Option is B) Hexagon

Answer 2

Answer:

Step-by-step explanation:

Related Questions

Find P(C|Y) from the information in the table.

To the nearest tenth, P(C|Y) =

Answers

From the definition of conditional probability,

[tex]\mathbb P(C\mid Y)=\dfrac{\mathbb P(C\cap Y)}{\mathbb P(Y)}[/tex]

and by the law of total probability,

[tex]\mathbb P(Y)=\mathbb P(Y\cap A)+\mathbb P(Y\cap B)+\mathbb P(Y\cap C)[/tex]

In other words, each cell in the grid left of and above the total column and row represents the joint probabilities (e.g. [tex]\mathbb P(X\cap A)=\dfrac{32}{146}[/tex]). So,

[tex]\mathbb P(C\mid Y)=\dfrac{15}{30}=\dfrac12=0.5[/tex]

Answer:0.5

Step-by-step explanation:

A rectangle is 12 feet long and 5 feet wide. If the length of the rectangle is increased by 25% and the width is decreased by 20%, what is the change in the area of the rectangle?

Answers

First let's find the area of the original rectangle:
12*5 = 60
Now for the new triangle:
1.25(12) * (1-0.2)(5)
15 * 4 = 60
There is no change in the rectangle.

Can you find 10/21 of 3/ 10

Answers

0.1428571428 would be the correct answer

The mean is 18.1
• The z-score for 13.0 is -1.7
What is the standard deviation for this data set?

Answers

The standard deviation is 3.

The formula for a z-score is

z = (X-μ)/σ

Using our information, we have

-1.7 = (13-18.1)/σ

Multiplying both sides by σ,
-1.7σ = 13-18.1
-1.7σ = -5.1

Divide both sides by -1.7:
-1.7σ/-1.7 = -5.1/-1.7
σ = 3

what type of transformation could be used to create a symmetric traffic sign

Answers

it's (B) reflection here is the picture

Which is the best estimate of the sum of 356 and 71, IF each number is rounded to the nearest ten?
A) 500
B)430
C)420
D)400

Answers

/ 357 + 71= 427 you’ve got to add it to get the sum of the numbers together

Hey there!

So 356 + 71 = 427

and if you round it to the nearest tenth then you're rounding the 27 up.

This means that your answer will be 430.

Here's a chart to help remind you which numbers to round! :-)

Hope this helps!

HELP ASAP!

The diagram below gives the dimensions of a swimming pool.

THESE ARE NOT ANSWERS!

(a) What is the total area of the swimming pool? Explain your reasoning.
(b) What is the perimeter of the swimming pool? Explain your reasoning.

Answers

Area of rectangle = 36 x 20 = 720 ft^2

Perimeter of rectangle = 2(36 + 20) = 112 ft

Area of semi-circle = 1/2πr^2 (r = 18/2 = 9, using π = 3.14)
= 1/2 x 3.14 x 9^2
= 142.87 ft^2

Perimeter of semi-circle = πd = 3.14 x 18 = 56.52 ft

(a) What is the total area of the swimming pool? Explain your reasoning.

area of the swimming pool = area of rectangle - area of semi-circle
area of the swimming pool = 720 ft^2 - 142.87 ft^2 = 577.13 ft^2

answer:
area of the swimming pool = 577.13 ft^2

--------------------------------------------------------------------------
(b) What is the perimeter of the swimming pool? Explain your reasoning.
perimeter of the swimming pool = perimeter of rectangle - perimeter of semi-circle
perimeter of the swimming pool = 112 ft - 56.52 ft = 55.48 ft

answer
perimeter of the swimming pool = 55.48 ft

Evaluate the expression.

12(43−6⋅32)

Answers

if that's 6 time 32 its -1788

but if its 6.32
its 440.16

The answer is -1788. Hope this helps!

Refer the diagram at the right. identify each angle pair as adjacent, vertical, or neither 7-12

Answers

Adjacent angles are angles that are side by side (right next to each other). They share a side. #7 and 11 are pairs of adjacent angles.

Vertical angles are angles that are directly across from each other. They are the same angle. #8 and 9 are vertical angles.

#10 and 12 do not fit either of these descriptions so they are neither.

What is likely to happen if a new aggregate demand curve moves to the right?

Answers

If the aggregate demand curve shifts to the right it refers to the increase in total quantity of the demanded goods and services. It also signifies economic expansion. If there are also new fiscal policies, then there will also be an increase in aggregate demand.

Answer:

Prices and output would rise, and the equilibrium point will change.

evaluate ab for a = 2 3/4 and b = 4/5

Answers

Saying ab in Algebra means a×b.
So, you're multiplying 2[tex] \frac{3}{4} [/tex] to [tex] \frac{4}{5} [/tex].
But, the mixed number is best as a mixed number, so it becomes [tex] \frac{11}{4} [/tex]
So, this happens to become [tex] \frac{11*4}{4*5} [/tex], multiplying to [tex] \frac{44}{20} [/tex].
BUT, you need to simplify it!
The simplest form is [tex] \frac{11}{5} [/tex], which is your answer.
Have a nice day! ♪

the price for dinner in a resteraunt was $80. The customer paid an addition 7% meals tax and left a $15 tip. how much meals tax did the customer pay?

Answers

Final answer:

The customer paid a meal's tax of $5.60 on an $80 dinner, calculated by converting the 7% tax rate to a decimal (0.07) and multiplying it by the cost of the meal.

Explanation:

The question pertains to calculating the meal's tax that the customer paid when the price for dinner at a restaurant was $80 and the meal's tax rate was 7%. To calculate the meal's tax, we need to convert the percentage to a decimal and then multiply it by the total cost of the meal.

To do this:

Convert the percent to a decimal: 7% becomes 0.07.

Multiply this decimal by the cost of the meal: 0.07 × $80 = $5.60.

Therefore, the customer paid $5.60 in meal's tax.

What is the value of X 56•

Answers

The value of x is 68 degrees. This is because a triangle equals 180 in whole and the two bottom angles are equal. 180 - 56 - 56 = 68

The measure of angle x in the isosceles triangle is 68 degrees.

The correct option is 68°.

What is the measure of angle x?

The figure in the image is an isosceles triangle.

An isosceles triangle is simply a triangle that has any two sides equal in length and and also two angles equal in measure.

From the diagram;

Since the triangle is an isosceles triangle:

Angle 1 = 56 degrees

Angle 2 = 56 dgerees

Angle 3 = x

Note that the sum of the interior angle of a triangle adds up to 180 degree.

Hence;

Angle 1 + Angle 2 + Angle 3 = 180

56 + 56 + x = 180

Solve for x

112 + x = 180

x = 180 - 112

x = 68 degrees

Therefore, x has a value of 68 degree.

Learn more about isosceles triangle here: https://brainly.com/question/28412104

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What is the exact volume of the sphere?

A. 56.3¯π ft³

B. 274.625π ft³

C. 366.16¯π ft³

D. 1464.6¯π ft³

Answers

the correct answer is C.

Answer:

366.16

Step-by-step explanation:

use the formula v=4/3r3

6.5 to the third power

multiply by 4/3

you get 366.16π ft³

A company is deciding which box to use for their merchandise. The first box measures 8 inches wide, 6.25 inches long, and 10.5 inches high. The second box measures 9 inches wide, 5.5 inches long, and 11.5 inches high. What is the separate surface areas of both boxes?

Answers

Box 1: 525 cubic inches Box 2: 581.625 cubic inches

How do I write a linear inequality that represents the graph?

Answers

Answer:

[tex]y > -x+4[/tex]

Step-by-step explanation:

we know that

The solution of the inequality is the shaded area above the dotted line

The slope of the dotted line is negative

The y-intercept of the dotted line is (0,4)

The x-intercept of the dotted line is (4,0)

Find the slope of the dotted line

[tex]m=(0-4)/(4-0)\\ m=-1[/tex]

The equation of the dotted line in slope intercept form is equal to

[tex]y=mx+b[/tex]

we have

[tex]m=-1[/tex]

[tex]b=4[/tex] -----> y-intercept

substitute

[tex]y=-x+4[/tex]

Find the equation of the inequality

Remember that the solution is the shaded area above the dotted line therefore

The inequality is

[tex]y > -x+4[/tex]

how to write standard form for: (please answer this question soon )
[tex]2x - x ^{2} = 1[/tex]
[tex] - x {}^{2} = 15[/tex]
[tex]4x { }^{2} = 12[/tex]
[tex]5 + x = 3x { }^{2} [/tex]

Answers

Put the terms in order of decreasing degree, all on the left. When convenient, it is nice to have mutually prime integer coefficients with the leading one positive.

a) x² -2x +1 = 0

b) x² +15 = 0

c) 4x² -12 = 0
or, better, divide out the common factor of 4.
x² -3 = 0

d) 3x² -x -5 = 0

_____
Shown is the standard form for a single-variable second-degree equation. Form varies depending on the nature of the equation. Equations of conic sections have different standard forms, depending on the curve.

Need help with this one

Answers

Multiply 5 by 3 and get 15.4 + 15 = 19

That's cake! You have to multiply 3 by 5 to get 15. Then you add that to 4 and viola! 19! :3

The graph below represents which system of inequalities?

Option A

y > 2x − 3

y > −x − 3

Option B

y < 2x − 2

y < −x + 3

Option C

y ≤ 2x − 2

y > −x + 3

Option D

None of the above

Answers

I don’t know the graph

Find the coordinates of the third vertex that completes the construction of a right triangle on the coordinate plane.

Help Me Please!!!!

Answers

Answer:

(7,a) Where a ∈ R - {7}

(-2,a) where a ∈ R - {-2}

Step-by-step explanation:

The coordinates of the given line from the right to the left are:

(7,1) and (-2,1)

So, to make a right triangle, we need to make a right angle or by another words, we need to a make a perpendicular line to the given line (i.e: a vertical line parallel to the y-axis at one of the given points)

So, the third vertex must be on the line x=7 or x=-2

So, the coordinates of the third vertex is:

(7,a) Where a ∈ R - {7}

(-2,a) where a ∈ R - {-2}

Answer:

(5, −4)

Step-by-step explanation:

A right triangle is a triangle in which one angle is a right angle (a 90-degree angle). (thank usatestprep)

Which table shows the relationship y=-3x+2?

Answers

Table D, because: -3×(-1)+2=5, -3×0+2=2, -3×1+2=-1, -3×2+2=-4.

Write 9x+35=-5y in Slope-Intercept form

Answers

Slope intercept looks like this:
y = ax + c
So:
-5y = 9x + 35
We need to isolate y, so divide both sides by -5:
y = - [tex] \frac{9}{5} [/tex]x - 7

To solve this problem, we need to remember that slope-intercept form is y = mx +b, where the variable m represents the slope of the line and the variable b represents the y-intercept of the equation. To put the above equation into slope-intercept form, we need to get the variable y to the left side of the equation and the variable x and any constants to the right side of the equation.

9x + 35 = -5y

First, we will begin by adding 5y to both sides of the equation so that the y term is on the left side of the equation.

5y + 9x + 35 = 0

Next, we should subtract 9x from both sides so that the x term is on the left side of the equation.

5y + 35 = -9x

After that, we should subtract 35 from both sides of the equation so that this constant moves to the right side of the equation.

5y = -9x - 35

Now we must divide both sides of the equation by 5 so that the variable y is completely alone on the left side of the equation.

y = -9/5x - 7

Therefore, your answer y = -9/5x -7.

Hope this helps!

how far is the ship from the lighthouse?

Answers

the formula for the Pythagorean theorem is:
a^2 + b^2 = x^2

so in this case,
d^2 = 8^2 + 6^2
d^2 = 64 + 36
d^2 = 100
d = square root of 100
d = 10 miles

I hope this helps :)

Solve for x.
a) x=7.5 b) x=16 c) x=17.5 d) x=27.5

Answers

x = 17.5

Note: This is done in the interior triangle as the angle will be equivalent to the other two angles.

Here's how you solve it:

You have to use the law of cosine for the interior triangle; the law of cosine is: c^2 = a^2 +b^2 - 2ab times cos (C)

Substitute each factor so that the equation now appears as so:

h^2 = 8^2 + 10^2 - 2(8)(10) times cos (80)

This will give you: h = 11.67

Now, you have to apply this to the law of sin which is a over sin(A) = b over sin (B) = c over sin (C). (Lowercase letters are the opposite side of uppercase angles.)

This will then give you:

11.67 over sin (80) = 8 over sin (S) = 10 over sin (T)

sin -1 ((8 times sin (80)) over 11.67) is equal to S

sin -1 ((10 times sin (80)0 over 11.67)) is equal to T

Because you now know the angles of S and T, you need to use the law of sin again.

t over sin (T) = s over sin (S)

t = 10 + x
s = 8 + 18 = 22

Thus, you need to substitute the variables to get this equation:

10 + x over sin (57.54) = 22 over sin (42.45)

x = 22 times sin (57.54) over sin (42.45) and next to this is -10

Thus, getting the answer of x = 17.50

Answer: x = 17.5

Step-by-step explanation:

You're using interior angles

Use the law of cosine: c^2 = a^2 +b^2 - 2ab times cos (C)

h^2 = 8^2 + 10^2 - 2(8)(10) times cos (80) so h = 11.67

11.67 over sin (80) = 8 over sin (S) = 10 over sin (T)

sin -1 ((8 times sin (80)) over 11.67) is equal to S

sin -1 ((10 times sin (80)0 over 11.67)) is equal to T

t over sin (T) = s over sin (S)

t = 10 + x

s = 8 + 18 = 22

10 + x over sin (57.54) = 22 over sin (42.45)

x = 22 times sin (57.54) over sin (42.45) and next to this is -10

the answer of x = 17.50

Hope this helps, have a BLESSED and wonderful day! :-)

-Cutiepatutie <3

How can you find the area of a polygon that is not one for which you know an area formula

Answers

You would divide it into shapes that you already know, like squares, rectangles and triangles. Find the area of each shape and add them together

An ice cream cone has a diameter of 2 inches and a height of 5 inches. What is the volume of the ice cream cone? Round your answer to the nearest hundredth. (Use 3.14 for π.)
10.47 in.3
20.93 in.3
5.23 in.3
15.7 in.3

Answers

we know that
[volume of a cone]=(1/3)*pi*r²*h
for r=2/2---> 1 in
h=5 in

[volume of a cone]=(1/3)*pi*1²*5-----> 5.23 in³

the answer is
5.23 in.3

To find the volume of the cone, you will use the formula for the volume of a cone and replace the r(radius and the h(height) with the given values.

V = 1/3 x pi x r^2 x h
1/3 x 3.14 x 1^2 x 5
V = 5.2281

The volume is approximately 5.23 cubic inches.

Tony collected data on years of employment and the annual salaries of the sales people at Company Z. He made a scatter plot and drew a trend line that approximated the line of best fit for the data, as shown on the right. Based on the trend line drawn for the data, what is the salary a salesperson with 3 years of employment at Company Z can expect to earn?

Answers

Answer:

The salary a salesperson expects to earn in 3 years, according to the graph is $40,000

Step-by-step explanation:

The estimated salary for a salesperson with 3 years of employment is $45,000.

How to write an equation of the line?

Without the scatter plot, it's impossible to give an exact answer, but we can make an estimate based on the trend line. Assuming the trend line is a straight line, we can use the equation of the line to estimate the salary for a salesperson with 3 years of employment.

The equation of a straight line can be written in a slope-intercept form as y = mx + b, where y is the dependent variable (salary in this case), x is the independent variable (years of employment in this case), m is the slope of the line, and b is the y-intercept (the value of y when x = 0).

To find the equation of the trend line, Tony would have used statistical software or a calculator to calculate the slope and y-intercept of the line of best fit. He could also have done this by hand using the least squares regression method.

Once we have the equation of the trend line, we can substitute x = 3 to estimate the salary for a salesperson with 3 years of employment.

For example, if the equation of the trend line is y = 5000x + 30000 (where y is the salary in dollars and x is the years of employment), then we can estimate that a salesperson with 3 years of employment can expect to earn:

y = 5000(3) + 30000

y = 15000 + 30000

y = 45000

So the estimated salary for a salesperson with 3 years of employment is $45,000.

To know more about an equation of the line follow

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What is the value of X 56•

Answers

Your Answer Is B) 68 Hoped This Helped!!!

William gave 4 football cards to each of the 6 friends.Suppose he had 54 cards left. Write and solve an equation to find how many cards each friend a initially had.

Answers

T=total

T = 6(4) + 54
William had 78 at the start

Reply if you need more help!

I dont know this one!

PLEASE help!!! what is 4y + 12x= 24 in y intercept form????

Answers

4y + 12x = 24
Solve for y. Subtract 12x from both sides.

4y = 24 - 12x
Divide both sides by 4.

y = 6 - 3x

Y=3x+6. Subtract over the 12x then divide by 4 to get the answer

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A polygon is broken up into 4 non-overlapping triangles by drawing lines from one vertex to all other non-adjacent vertices. What is the name of the polygon? A) Octagon B) Hexagon C) Heptagon D) Quadrilateral

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A polygon is broken up into 4 non-overlapping triangles by drawing lines from one vertex to all other non-adjacent vertices. What is the name of the polygon?

A) Octagon
B) Hexagon
C) Heptagon
D) Quadrilateral