PQ and QR are 2 sides of a regular 10-sided polygon
Can someone please help I've been struggling on this for quite a while.

PQ And QR Are 2 Sides Of A Regular 10-sided PolygonCan Someone Please Help I've Been Struggling On This

Answers

Answer 1

Answer:

Step-by-step explanation:

Measure of inner angle of the n-sided polygon is

[tex]\frac{180(n-2)}{n}[/tex]

~~~~~~~~~~~~~~

m∠PQR = [tex]\frac{180(10-2)}{10}[/tex] = 144°

PQ = QR ⇒ m∠QPR = m∠QRP

m∠PRQ = ( 180° - 144° ) ÷ 2 = 18 °

Answer 2

Answer:

∠PRQ = 18°

Step-by-step explanation:

Sum of interior angles of a polygon = (n - 2) × 180°
(where n is the number of sides)

Interior angle of a regular polygon = sum of interior angles ÷ n
(where n is the number of sides)

Given:

n = 10

⇒ Sum of interior angles of a polygon = (10 - 2) × 180° = 1440°

⇒ Interior angle of a regular polygon = 1440° ÷ 10 = 144°

Therefore, as PQ and QR are the sides of the polygon, ∠PQR = 144°

Sum of interior angles of a triangle = 180°

⇒ ∠PQR + ∠RPQ + ∠PRQ = 180°

⇒ 144° + ∠RPQ + ∠PRQ = 180°

⇒ ∠RPQ + ∠PRQ = 36°

As the polygon is regular, PQ = QR which means that ΔPQR is isosceles.

Therefore, ∠RPQ = ∠PRQ

⇒ ∠PRQ = 36° ÷ 2 = 18°


Related Questions

Cassie has 10 1/2 feet of string to make 15 beaded bracelets. She needs 9 inches of string for each bracelet. Does she have enough string to make all the bracelets? Explain. (1 foot = 12 inches) ​

Answers

Answer:

unfortunately one person will be without a bracelet

The sum of 9 times a number and 8 is 3

Answers

Answer: 9n+8=3

Step-by-step explanation:

Let's break this down

"sum" refers to addition so we must be adding 9 times a number and 8

So far we have "9 times a number + 8"

We can use the variable, n to represent "a number"

Now we have "9 times n +8"

"times" refers to multiplication, so we should multiply 9 and n

Now we have "9n+8"

"is 3" simply means that this will equal 3

So now we have the equation 9n+8=3

can someone help me with this I already answered half of all of them but I need to make sure It's right?

Answers

Answer:

of 34.576:

34.576 = (3 * 101) + (4 * 100) + (5 * 1/101) + (7 * 1/102) + (6 * 1/103)

34.576 = (3 * 10) + (4 * 1) + (5 * 1/10) + (7 * 1/100) + (6 * 1/1,000)

34.576 = 30 + 4 + 5/10 + 7/100 + 6/1,000

34.576 = 30 + 4 + 0.5 + 0.07 + 0.006

Step-by-step explanation:

That is 34.576 in expanded form, so know you can know which is correct

Find the area of the shaded polygons

NEED ASAP PLEASE!! THANK YOU

Answers

Answer:

168

Step-by-step explanation:

area of a trapezoid is

((a+b)/2)*h

((8+16)/2)*14

12*14 =

168

Carly is in charge of bringing juice for the class party. Her class has 24 students and 1 teacher. She estimates that each person will drink 400 milliliters of juice. To make sure she has enough, she also wants to bring an extra liter of juice. How many liters of juice should Carly bring in all?

Answers

Answer:

10,000

Step-by-step explanation:

if it's including the teacher then it should be 10,000


The total cost f(x), in dollars, for renting a bowling lane for x hours is shown:
f(x) = 2x + 12
What does f(14) represent?
A. The number of dollars it costs to rent the bowling lane for 14 hours
B. The number of games you can bowl for a cost of $14
ting
C. The number of games you can bowl in 14 hours
D. The number of hours the bowling lane can be rented for a cost of $14

Answers

A. the number of dollars it costs to rent the bowling lane for 14 hours.

A Web music store offers two versions of a popular song. The size of the standard version is 2.3 megabytes (MB). The size of the high-quality version is 4.5 MB. Yesterday, the high-quality version was downloaded twice as often as the standard version. The total size downloaded for the two versions was 2938 MB. How many downloads of the standard version were there?

Answers

Answer:

  260

Step-by-step explanation:

The relationship between the number of standard versions and the total download can be written as ...

  2.3n +4.5(2n) = 2938 . . . . . twice as many high-quality songs (2n)

  11.3n = 2938 . . . . . . . . . simplify

  n = 2938/11.3 = 260 . . . divide by the coefficient of n

There were 260 downloads of the standard version.

i need help with this problem

Answers

Answer:

Disagree

Step-by-step explanation:

because it looks like less than 45

Find the measure of the red arc or chord in ⊙C

Answers

Answer: 75

Step-by-step explanation:

The measure of the red arc or chord is  75 degrees

What is Circle?

A circle is a shape consisting of all points in a plane that are at a given distance from a given point, the centre.

From the given figure we observe that ∠ACB is vertical angle of ∠ECD

∠ECD = 75 degrees

∠ECD = ∠ACB as they are vertical angles

∠ACB = 75 degrees

∠ACB  is the central angle.

The central angle of an arc is the central angle subtended by the arc. The measure of an arc is the measure of its central angle.

So measure of arc AB is 75 degrees

Hence,  the measure of the red arc or chord is  75 degrees

To learn more on Circles click:

https://brainly.com/question/11833983

#SPJ2

I need someone to solve this ASAP.

Answers

Answer:

320 ft²  (nearest whole number)

Step-by-step explanation:

Given:

height of fence post = 8 ftdiameter of fence post = 1 ft  ⇒  radius = 0.5 fttotal number of posts = 12π = 3.14

Surface area of a cylinder = 2πr² + 2πrh

⇒ SA of one fence post = 2 · 3.14 · 0.5² + 2 · 3.14 · 0.5 · 8

                                       = 1.57 + 25.12

                                       = 26.69 ft²

As there are 12 fence posts,

Total paint needed = 12 × 26.69

                                = 320.28 ft²

                                = 320 ft² (nearest whole number)

Simply the expression 3(2y - 8) - 2y(5-y)

Answers

Answer:

-4y - 24 + 2y²

Step-by-step explanation:

1. Simplify the distributive properties

⇒ 3(2y - 8) - 2y(5 - y)

⇒ 6y - 24 - 10y + 2y²

2. Combine like terms

⇒ 6y - 24 - 10y + 2y²

⇒ y(6 - 10) - 24 + 2y²

3. Simplify the expression

⇒ y(6 - 10) - 24 + 2y²

-4y - 24 + 2y²

3 1/6 + 8 2/9 - 1 1/2 =?

Answers

Answer:

9 8/9

Step-by-step explanation:

Use the graph of triangle JKL to answer A and B

a. Reflect JKL over the x-axis. Record the coordinates of
the original and new image below.


b. Describe what happened to the x and y coordinates
once they were reflected.
2 Use the coordinates of triangle QRS to answer a-b.

Answers

Answer:

a) J':(-7,7) K':(-5,2) L':(-2,3)

b) The x coordinates remained the same, the y coordinates swapped from negative to positive.

Step-by-step explanation:

Aside: I'm using J', K', and L' to denote the new locations of J,K,L after the reflection.

When an object is reflected over the x-axis, it means it's positive points will flip to negative y space, and negative points will flip to positive y space.

That said, J, for instance, will have the same X-coordinate, but its Y-coordinate will flip from negative to positive. Doing this with every vertex mirrors the triangle over the X-axis.

Therefore, J:(-7,-7) will become J':(-7,7), and likewise with K and L becoming K':(-5,2) and L':(-2,3).

Answer:

Step-by-step explanation:

A baker has 3 pounds of dried fruit. Each batch of a recipe she is making uses 1/2 pound of the fruit. How many batches can she make?

Answers

okay so you js dived 3 by 1/2 and you’ll get 1.5 zang

Write the rate in lowest terms.
During a bad storm there was 2 in of rain in 4 hr.
The rate in lowest terms is_____?

Answers

Answer:

1/2 in/hr

Step-by-step explanation:

2 in / 4h   =   1/2 inch per hour

I don’t really know how to do this , can someone help?

Answers

Answer:

A 67 inches is the correct answer

[tex]\text{Given that,}\\\\\text{Area of the rectangle,}~ A = 344 ~ in^2\\\\\text{Width of the rectangle,}~w = 16 ~ in\\\\\text{Length of the rectangle,}~ l=?\\\\~~~~~~A = l \times w \\\\\implies l= \dfrac{A}w =\dfrac{344}{16}=21.5 ~in\\\\\text{Perimeter of the rectangle} = 2(l+w) = 2(21.5+16)=75~ in[/tex]

A right square pyramid has a volume of 12 cubic centimeters. If the height remains fixed but the sides of the base are multiplied by 3, what is the volume of the new pyramid?
A. 36 cm³
B. 48 cm³
C. 108 cm³
D. 72 cm³

Answers

Answer:

36 cm^3

Step-by-step explanation:

Because you need to multiply 12x3 giving you 36.

Answer:

its a

Step-by-step explanation:

i took the test

Width:____feet
Height_____feet

Answers

Step-by-step explanation:

Let w = width and h = height. Then we have

w = 3*h - 17

and

4*w + h = 30 (4 shelves and 1 sides).

Plug in the first equation into the second and solve for h:

4*(3*h - 12) + h = 30

12*h - 48 + h = 30

13*h = 78

h = 78/13

h = 6

Plug that in the first equation to find w = 3*6 - 17 = 1

So width = 1 feet.

height = 6 feet

Justin runs 7 miles in 60 minutes. At the same rate, how many miles would he run in 24 minutes?
miles

Answers

Answer:

2.8 Miles

Step-by-step explanation:

If 7m is 60mins

How many miles is 24 mins

solution:

take unknown miles to be 'x'

7m=60mins

Xm=24mins

cross multiply

7×24/60=2.8m

x=2.8miles

find the average of the following numbers -34 and -37

Answers

Answer:

35.5 is the average of 34 and 37

Step-by-step explanation:

Answer:

-35.5

Step-by-step explanation:

-34 + -37 = -71

-71/2 = -35.5

I hope this helps!

mark must at least 32 units of vitamin a 10 units of vitamin b and 55 units of vitamin c daily he can choose between pill #1 which contains 8 units of a 1 unit of b and 2 units of c or pill #2 which contains 2 units of a and 1 unit of b and 7 units of c pill #1 cost $0.15 and pill #2 cost $0.35 how many of each pill should he buy in order to minimize his cost?


He buys blank of pill #1 and blank of pill #2

the minimum cost of $


PLEASE HELP ASAP!!! IM STUCK ON THIS

Answers

Answer:

Pill 1 costs 25e, and pill 2 costs 75e. Complete parts a and below. An a. How many of each pill should he buy in order to minimize his cost? What is the minimum?

Step-by-step explanation:

A bag of chocolates is labeled to contain 0.384 pounds of chocolates. The actual weight of the chocolates is 0.3798 pounds. Are the chocolates heavier or lighter than the weight stated on the label?

Answers

Based on the information given the chocolates stated on the label is 0.0042-ounce lighter.

Weight:

Using this formula

Chocolate weight=Current weight-Actual weight

Where:

Current weight=0.384

Actual weight=0.3798

Let plug in the formula

Chocolate weight=0.384-0.3798

Chocolate weight=0.0042 ounce

In conclusion, the chocolates stated on the label are 0.0042-ounce lighter.

Which of the binomials below is a factor of this expression?

121A^2 - 64B^2

A. 121A + 8B

B. 11A + 8B

C. 121A + 32B

D. 11A + 32B

Answers

Answer: 11A+8B

Step-by-step explanation:

Consider an experiment of tossing an unbiased coin three times. What is the probability of obtaining four heads?​

Answers

Answer:

0.0625

Step-by-step explanation:

the probability of getting 4 heads in a row is 0.5^4

answer is 0.0625 or 1/16

The temperature at 1:00 p.m. The temperature at 1:00 p.m. on Tuesday was -13°C. There was an increase of 6º per
hour starting at 1:00 p.m. Which of the following best represents the Celsius
temperature n hours after 1:00 p.m. on Tuesday?
A. -13 + bn
B. -13 - 6n
C. -13n + 6
D. -13n - 6

Answers

Rate of change=m=6°CInitial temp=b=-13°C

So

Equation in slope intercept form

y=mx+by=6n+(-13)y=6n-13

Option A

What is the total height of the plants that measured 1
1/8 and
1/4?

Answers

It is 1 and 3/8 because 1 and 1/8 plus 1/4 which is equal to 2/8 is 1 3/8.

A square is inscribed in a circle. How much larger is the area of the circle than the area of the square?
ratio form

Answers

Answer:

π/2 : 1 or π : 2

Step-by-step explanation:

In the attachments I have a picture of a square inscribed in a circle.

Call the side of the square a. Therefore, the area of the square is a^2.

We can also see that the diagonal of the square is the circle's diameter.

Using the Pythagorean Theorem we find that the diagonal/diameter of the circle is a√2. Thus the radius is that divided by 2, which is (a√2)/2.

We also know that the formula for a circle's area is πr^2, so the area of the circle is π((a√2)/2)^2 --> π(a^2)(2)/4 --> π(a^2)/2.

Hence the ratio of the circle to the square is π(a^2)/2 to a^2 which is π/2 to 1 or π to 2.

Kevin made 4 identical necklaces each having beads and a pendant. The total cost of the beads and pendants for all 4 necklaces was $23.60. If the beads cost a total of 9.20 how much did each pendant cost

Answers

Answer:
$3.6
Step-by-step explanation:
total cost for all beads and pendant is $23.60
cost for the beads is $9.20
cost for the pendants is 23.60- 9.20 = $14.4
cost for each pendant = 14.4/4 = $3.6

Yolanda cut 2 2/3 yards of fishing line from a new reel. How much is this in inches?

Answers

Answer:

1 yard = 3 feet: 3.25 yards x 3 feet per yard = 9.75 feet. 1 foot = 12 inches: 9.75 feet x 12 inches per foot = 117 inches.

Step-by-step explanation:

1 yard = 3 feet: 3.25 yards x 3 feet per yard = 9.75 feet. 1 foot = 12 inches: 9.75 feet x 12 inches per foot = 117 inches.

Which of these describes an angle?

Extends in both directions with no end
The amount of turn between two straight lines that have a common endpoint, or vertex
A part of a line that connects two endpoints
Has a start point but no endpoint

Answers

A part of a line that connects two endpoints I believe
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