a regular pentagon is divided into 5 isoscleles triangles work out the size of angle x angle y angle z

A Regular Pentagon Is Divided Into 5 Isoscleles Triangles Work Out The Size Of Angle X Angle Y Angle

Answers

Answer 1
Answers:

x = 72

y = 54

z = 54

================================================================

The regular pentagon has all five sides the same length. It also has all interior angles the same measure. This leads to y = z. These two angles are the congruent base angles of the isosceles triangle. The base angles are opposite the congruent sides.

The fact that we have a regular pentagon also means that the five triangles shown are identical copies of one another (i.e. they are congruent triangles). Divide the full 360 degree rotation into 5 parts to get 360/5 = 72, which represents the measure of the central angle x.

--------------

For any triangle, the three angles always add to 180. This means,

x+y+z = 180

72+y+z = 180 .... plug in x = 72

72+y+y = 180 ... recall that y = z

2y+72 = 180

2y = 180-72

2y = 108

y = 108/2

y = 54, which is also the measure of angle z as well

--------------

As a quick check,

x+y+z = 72+54+54 = 180

which helps confirm the answer.


Related Questions

Please help me due soon

Answers

Answer:

Ima say c but I'm not totally sure soo :)

Step-by-step explanation:

Step-by-step explanation:

answer is D

-5/3

because more the negative,lesser the value

Giving right answer a branleist

Answers

23/50

0.46 = .46/1 = 46/100 = 23/50

Given f(x) = x^2+9x+18 and g(x)=x+6
Find f(x)-g(x)

Answers

Answer:

x = -6, -2

Step-by-step explanation:

x^2 + 9x + 18 - (x + 6)

x^2 + 9x + 18 -x - 6

x^2 + 8x + 12

(x+6)(x+2)

x = -6, -2

Find the slope of each line.
1)
2)
у

Answers

To find the slope of a line, remember:

[tex]slope=\frac{rise}{run}[/tex].

Also, the points that you choose to use to calculate your rise and your run must meet at an exact point, not in the middle of a block. In your graphs the points are the little blue dots, so that's already been done for you and that's what we'll use to calculate the slope!

Also, recall that the rise is how many blocks the line has changed vertically (so is one point lower/higher than another point)

The run is how many blocks the line has changed horizontally (so how many blocks over is the next point)

Therefore, for #1 we can see that the point on the right is over 3 blocks (run), and it goes down 1 block (rise).

So for #1, your answer is:  [tex]slope=\frac{rise}{run}=\frac{-1}{3}[/tex] or [tex]-\frac{1}{3}[/tex]

For #2 we see that one point is higher by 3 blocks (rise) and it also goes over one block (run)

So, your answer to #2 is:  [tex]slope=\frac{rise}{run}=\frac{3}{1}=3[/tex]

Hope this helps! :)


A science class has 5 girls and 3 boys in the seventh grade and 4 girls and 4 boys in the eighth grade. The teacher randomly selects a seventh grader and an
eighth grader from the class for a competition. What is the probability that the students she selects are both boys?
Write your answer as a fraction in simplest form.

Answers

Answer:

To find the probability of picking two boys, we need to first know how many different ways she can pick the 7th and 8th grader.

There are 12 7th-graders and 8 8th-graders. So the total number of ways she can pick is:

12

×

8

=

96

To get two boys picked, there are 5 boys in the 7th-grade class and 4 in the 8th-grade class, so there are:

5

×

4

=

20

ways

Which gives us the probability of:

20

96

=

5

24

21

%

Step-by-step explanation:

Help please slope-intercept intro

Answers

Answer:

(0, -2)

Step-by-step explanation:

y-intercept is the point at x = 0.

y = -3(0) - 2

y = -2


If you could help with a few questions that what be lit (giving best answers brainliest)

Answers

Answer:

send your # and ill help you over call

Which of the following is true?

Answers

[tex]▪▪▪▪▪▪▪▪▪▪▪▪▪  {\huge\mathfrak{Answer}}▪▪▪▪▪▪▪▪▪▪▪▪▪▪[/tex]

The Correct choice is :

RT is an altitude of Triangle QRS

help me
ans should be well explained ​

Answers

Length=L=40mBreadth=B=30m

Perimeter:-

[tex]\\ \sf\longmapsto 2(L+B)[/tex]

[tex]\\ \sf\longmapsto 2(40+30)[/tex]

[tex]\\ \sf\longmapsto 2(70)[/tex]

[tex]\\ \sf\longmapsto 140m[/tex]

Area

[tex]\\ \sf\longmapsto LB[/tex]

[tex]\\ \sf\longmapsto 40(30)[/tex]

[tex]\\ \sf\longmapsto 1200m^2[/tex]

Length (L) of Rectangle = 40 m Breadth (B) of Rectangle = 30mPerimeter of Rectangle:-

= 2(Length + Breadth)

= 2(40 + 30)

= 2(70)

= 140m

Area of Rectangle:-

= Length × Breadth

= 40 × 30

= 1200m^2

Therefore, The perimeter of the rectangle is 140m and the area of the rectangle is 1200m^2.

Below are two parallel lines with a third line intersecting them 107

Answers

Answer:

x° = 107°

Step-by-step explanation:

Given that m < 107° and m < x° are alternate interior angles that do not have a common vertex on alternate sides of the transversal, then it means that they have the same measure. It also implies that their supplements will have the same measure, 73°.

Therefore, x° = 107°.

Please mark my answers as the Brainliest, if you find this helpful :)

Answer:

107

Step-by-step explanation:

they r on opposite sides so they are the same.

Which situation can be represented by the equation 4d + 5 = 29?

A.
Marvin worked 4 hours a day plus an additional 5-hour day for a total of 29 hours.


B.
Marvin worked 9 hours a day for a total of 29 hours.


C.
Marvin worked 4 hours one day plus an additional 5 hours for a total of 29 hours.


D.
Marvin worked 4 days plus 5 hours for a total of 29 hours.

Answers

D. Marvin worked 4d+5h for a total of total of 29 hours

Consider the linear equation 4x+3y=19 find the value of y that makes the given ordered pair a solution to the equation (x, 5) X=

Answers

Answer:

X=1

Step-by-step explanation:

If the ordered pair of the solution is (x,5), this means that y=5

With this information, we plug in 5 for y and solve for x

4x+3(5)=19

4x+15=19

4x=4

x=1

At the Richard's pound the ratio of cats to dogs is 9 to 6. If there are 45 cats in the pound then
how many dogs are in the pound?

Answers

Answer:

30 dogs are in the pound.

Step-by-step explanation:

If the original ratio is 9:6

Then multiply both sides by 5: (9*5) : (6*5)

New ratio: 45:30

Solve for x.

A) 9
C) 10
E) 6
B) 15
D) 4

Answers

Answer:

Hii I'm Philippines slamat sa points

180-142=38
38+15X-3+10X-5=180
30+25X=180
25X=150
X=6

A) -8
B) 0
C) 1 o/ 2 1 over 2
D) 8

Answers

Your answer is C If not A have a good day

Answer:

no come but download gauth math and it will scan the problem and give u the answer

if josie missed 8 questions how many of them did she get correct

Answers

Answer:

Step-by-step explanation:

how many questions was it out of ?

but you must take away the 8 for the total amount of questions

The table shows how much money Diego has after buying some games and represents a linear function.

What is the y-intercept of the function shown in the table, and what does it represent



A. The y-intercept is (4,0), and the 4 represents the amount of money
Diego spends per game.

B. The y-intercept is (4,0), and the 4 represents the number of games
Diego buys.

C. The y-intercept is (0, 150). Diego has $150 before buying any
games.

D. The y-intercept is (0, 150). Diego spends $150 per game.

Answers

Answer:

C. The y-intercept is (0, 150). Diego has $150 before buying any

Step-by-step explanation:

Brainlylist

The correct statement is The y-intercept is (0, 150). Diego has $150 before buying any games.

what is slope?

A line's slope is determined by how its y coordinate changes in relation to how its x coordinate changes. y and x are the net changes in the y and x coordinates, respectively. Therefore, it is possible to write the change in y coordinate with respect to the change in x coordinate as,

m = Δy/Δx

where, m is the slope

Given:

(0, 150) and ( 1, 112.50)

Now, slope= (112.50-150)/1

slope= -37.5

So, the equation of line is

y- 150= -37.5( x- 0)

y= -37.5x+ 150

Hence, The y-intercept is (0, 150). Diego has $150 before buying any

games.

Learn more about slope here:

https://brainly.com/question/3605446

#SPJ2

i need this pleaseeeee!!!!
(a) The population of a certain city decreased by 4000 people. Write a signed number to represent this population change.
and also b!!!!​

Answers

Answer:

the answer is 0004..................

Hey , May someone help me please and thanks<3

Answers

Answer:

[tex]1\frac{1}{5}[/tex]

Step-by-step explanation:

6-4 = 2

2 -  [tex]\frac{4}{5}[/tex]  = [tex]1\frac{1}{5}[/tex]

In a triple batch of a spice mix, there are 6 teaspoons of garlic powder and 15 teaspoons of salt. If the are 14 teaspoons of spice mix, how much sat is in it?

Answers

do 6x14x15 and then you should get 398

The value of y varies directly with x. If x = 3, then y = 18. What is the value
of x when y = 84

Answers

The value of x when y = 84 is 14

From the question,

The value of y varies directly with x

That is,

y ∝ x

Introducing the constant of proportionality, k

We get,

y = kx

Also, from the question

If x = 3, then y = 18

Putting these values into the equation, we can determine the value of k

[tex]y = kx[/tex]

[tex]18 = k \times 3[/tex]

Now, divide both sides by 3

[tex]\frac{18}{3}=\frac{k \times 3}{3}[/tex]

[tex]6 = k[/tex]

∴ k = 6

Now, to determine the value of x when y = 84

We will put y = 84 and the value of k =6 into the equation

[tex]y = kx[/tex]

[tex]84 = 6 x[/tex]

Divide both sides by 6

[tex]\frac{84}{6} = \frac{6x}{6}[/tex]

[tex]14 = x[/tex]

∴ [tex]x = 14[/tex]

Hence, the value of x when y = 84 is 14

Learn more here: https://brainly.com/question/17531464

PLSSSSS HEEEELP MEEEE :<

Answers

Answer:

x=22

Step-by-step explanation:

From the theorem of Z angles you can find that the sum of both given angles must equal 180.

So solve: 2x-26 + 7x+8 = 180

Simplify:

9x -18 = 180

9x = 198

x = 198/9 = 22

find the sum -3/4 + 15 / 24
A. - 3/4
B. 1/2
C. 1/8
D. -1/8 ​

Answers

it’s d.-1/8
i jus know

An airplane is flying from New York City to Los Angeles. The distance it travels in miles, d is 0.15 per second of time, t.

this is not part of the question. > if you give me the answer or solve this whatever You will get 100 points!!

Answers

Here the function given by

f(d)=0.15t

Now

f(1):-

[tex]\\ \sf\longmapsto f(1)=0.15(1)=0.15m[/tex]

[tex]\\ \sf\longmapsto f(2)=0.15(2)=0.3m[/tex]

Peter is calculating the interest earned on a deposit of $275 in an account that earns 8% simple interest after 12 years. I = prt I = 275(.8)(12) I = 2,640 a. What did Peter do incorrectly? b. What is the correct amount of interest I NEED HELP.

Answers

Answer:

What Peter did wrong was that he should have multiplied 275 by 0.08 and 12, not 0.8 and 12. The correct amount of interest he will earn is $264.

. The area of a rectangle is 8x2 + 10x + 2 cm2. The length is 4x + 2 cm. What is the width of the
rectangle?

Answers

The answer is 31 cm

f(x) =2x+1 g(x)= x^2 -7 find (f+g)(x)​

Answers

Answer:

[tex]f(x) = 2x + 1 \\ g(x) = {x}^{2} - 7 \\ (f + g)(x) = f(x) + g(x) \\ (f + g)(x) = (2x + 1) + ( {x}^{2} - 7) \\ (f + g)(x) = 2x + 1 + {x}^{2} - 7 \\ \boxed{ (f + g)(x) = {x}^{2} + 2x - 6}[/tex]

(f+g)(x) = x²+2x-6 is the right answer.

Determine the coordinates of A(2,3) after a reflection in the line y=2

Answers

Answer:

When you reflect a point across the x-axis, the x-coordinate remains the same, but the y-coordinate is transformed into its opposite (its sign is changed). If you forget the rules for reflections when graphing, simply fold your paper along the x-axis (the line of reflection)

Please please help me with this question

Answers

Answer:

By definition definition a quadratic polynomial is a polynomial of degree two, the highest degree ter. is of second order.

A linear polynomial is defined by y=mx+c, the highest order is of degree 1.

If your x is raised to a fraction power then that is neither quadratic nor linear.

A paper company needs to ship paper to a large printing business. The paper will be shipped in small boxes and large boxes. Each small box of paper weighs 25 pounds and each large box of paper weighs 70 pounds. A total of 21 boxes of paper were shipped weighing 1110 pounds altogether. Write a system of equations that could be used to determine the number of small boxes shipped and the number of large boxes shipped. Define the variables that you use to write the system.

Answers

Answer:Number of small boxes shipped = 8

Number of large boxes shipped = 13

Step-by-step explanation:

Step-by-step explanation:

Let x be the number of small boxes and let y be the number of large boxes

According to the first statement, a total of 21 boxes were shipped

Equation 1 will be:

x+y=21

According to 2nd statement, the total weight was 1110 and we know the weight of one small box is 25 and large box is 70

Equation 2 will be:

25x+70y=1110

Use the substitution method for solving the equation

Putting the value of x in equation 2  

25(21-y) +70y =1110

525-25y+70y = 1110

45y = 585

Y=13

Putting the value of y in equation 1  

x+13 = 21

X = 8

Number of small boxes shipped = 8

Number of large boxes shipped = 13

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