PQ and QR are 2 sides of a regular 12-sided polygon.
PR is a diagonal of the polygon.
Work out the size of angle PRQ.
You must show your working.
Answers
The size of the angle m∠PRQ for the polygon is equal to 15°
How to calculate for the angle PQR using interior angle of the polygonTo calculate the sum of interior angles of a polygon, you can use the following formula:
Sum of interior angles = (n-2) x 180 degrees
Where "n" represents the number of sides (or vertices) of the polygon.
Given the 12 sided polygon;
(12 - 2) × 180 = 1800
one interior angle = 1800/12 = 150°
The angle PQR is a base angle of the Isosceles triangle ∆PQR with one interior angle of the 12-sided polygon so;
m∠PRQ = (180 - 150)/2
m∠PRQ = 15°.
Therefore, the size of the angle m∠PRQ for the polygon is equal to 15°
Read more about polygon here:https://brainly.com/question/1592456
#SPJ1
Related Questions
The graph of the quadratic parent function was transformed to create the graph g(x) = f(x) - 9. Which statement about the graphs is true?
Answers Choices
A The graph of g is a reflection of the graph of f across the x-axis.
B. The vertex of the graph is 9 units to the right of the vertex of the graph of f
C. The graph of g is a reflection of the graph of f across the y-axis.
D. The y-intercept of the graph of g is 9 units below the y-intercept of the graph of f.
Answers
9514 1404 393
Answer:
D. The y-intercept of the graph of g is 9 units below the y-intercept of the graph of f.
Step-by-step explanation:
Subtracting 9 from the function value moves every point on the graph down 9 units. That includes the y-intercept.
D. The y-intercept of the graph of g is 9 units below the y-intercept of the graph of f.
_2. You have a part-time job 4 days per week, 5 hours per day. How many hours will you work in two weeks?
A) 10
B) 20
C) 40
D) 80
Answers
Answer:
C) 40
Step-by-step explanation:
For every one day your work is 5 hours.
1 day = 5 hours
Set up a proportion so it would be:
[tex]\frac{1 day}{5 hours} = \frac{4 days}{x hours}[/tex]
4 days x 5 hours = 20 hours/week
So now you know you know you work 20 hours/week, then multiply by 2 since they're asking how many hours will you work in two weeks:
20 hours x 2 weeks = 40 hours in two weeks
A peanut butter cookie recipe calls for 3 1/2 cups of flour to make 6 dozen cookies. How many cups of flour must be used to make 20
Answers
Complete Question
A peanut butter cookie recipe calls for 3 1/2 cups of flour to make 6 dozen cookies. How many cups of flour must be used to make 20 dozen?
Answer:
11 2/3 cups of flour
Step-by-step explanation:
From the above question:
6 dozen = 3 1/2 cups of flour
20 dozen = x
Cross Multiply
6 dozen × x = 20 dozen × 3 1/2 cups of flour
x = 20 dozen × 3 1/2 cups of flour/6 dozen
x = 20 × 7/2 /6
x = 140/2 ÷ 6
x = 140/2 × 1/6
x = 140/12 cups of flour
x = 11 8/12
= 11 2/3 cups of flour
Therefore, 11 2/3 cups of flour must be used to make 20 dozen.
1. The French Club will wash cars for $5 each to raise money for a trip to Quebec. Their profit is determined by taking this revenue and subtracting $15 for the supplies they purchased, and is modeled by the function p = 5C - 15, where c is the number of cars washed. If the French club can wash up to 5 cars in an hour, what is the range of the function for this situation?
A {0,1,2,3,4,5}
B 0 < c < 5
C -15 < p < 10
D { -15,-10,-5,0,5,10}
Answers
Answer:
p=5c-15=p=5×5-15 =-15<p>10
Which equation is correct?
O 3.3 = 32 = 9
4. 4 = 2(4) = 8
7.7 = 2(7) = 49
O 14 - 14 = 142 = 28
Answers
Answer:
3.3 = [tex]3^{2}[/tex] = 9
Step-by-step explanation:
1 2 3 4 5 6 7 8 10 Which set of steps will translate f(x) = 67 to g(x) = 67-5-7? Shift f(x) = 6X five units to the left and seven units up. Shift f(x) = 6' five units to the right and seven units down. Shift f(x) = 6 seven units to the right and five units up They Shift f(x) = 6' seven units to the left and five units down.
Answers
Answer:
Shift f(x) = 6' seven units to the left and five units down.
Step-by-step explanation:
Help me with the question also explain the work. If you can send a picture of what you did that would be also helpful. thx ;)
Answers
answer: x = -7/4
12 = -4x +5
Subtract 5 from both sides.
7 = -4x
Divide both sides by -4.
-7/4 = x
Flip if you want.
x = -7/4
:)
Answer:
-43
Step-by-step explanation:
Selina surveyed 150 people to find out which of five sports they prefer to watch TV on. The results of the survey are shown in the table.
If you were to randomly choose one of the people Selina surveyed, which statement would be true about that person?
Answers
Answer:
C
Step-by-step explanation:
They would be 3x more likely to choose football over tennis, since tennis is 13 and football is 39
39/3=13
Final answer is C
please help me solve this problem |4|+|-5|=
Answers
Answer:
-1
Step-by-step explanation:
Write the equations of the lines on the grid.
Answers
red line: y = x
green line: y = -x
In a class, there are 24 boys to 18 girls. What is the ratio of boys to the total number of students in the class?
Options:
a. 24:24
b. 24:42
c. 42:24
d. 18:42
Answers
Answer:
B. 24:42Step-by-step explanation:
24 boys to 18 girls, total students:
24 + 18 = 42Ratio of boys to the total number of students:
28 : 42Correct choice is B
Answer:
Solution given;
girl's=18
boys=24
total no of students=24+18=42
now
the ratio of boys to the total number of students in the class=[tex] \frac{24}{42} [/tex]
=24:42is the required ratio.
A dinner plate has a radius of 6 inches. What is the diameter of the plate in inches?
Answers
Answer:
the plate diameter is 12 u just times the radius by 2
Step-by-step explanation:
Kevin rode 24 km in 2 hours. At that rate, how long would it take him to ride 120 km?
Answers
Answer:
10 hours
Step-by-step explanation:
We can convert the speed to km/h, and to do this, you simply have to find the amount Kevin rides in 1 hour. So,
24/2 = x/1
x = 12
So, now we see that Kevin rides at approximately 12 kmph. Now, instead of finding the distance, we need to find the hour at 120 km.
12/1 = 120/x
x = 10
Brand A tortilla chips cost $3.50 for 12 ounces and Brand B tortilla chips cost $4.50 for 16 ounces.
a. Which brand of tortilla chips has the lowest unit price?
Answers
Answer:
Tortilla B
Step-by-step explanation:
Tortilla A is .29 per ounce
Tortilla B is .28 per ounce
You can find this by doing 3.50 divided by 12 and 4.50 divided by 16
MARK ME BRAINLIEST PLEASE
➢ How many centimeters is one kilometer _________
Answers
Answer:
1 kilometer is equal to 1000 meters and 1 meter is equal to 100 centimeters. So, there are 1,00,000 centimeters in a kilometer.
Step-by-step explanation:
Answer:
There are 100,000 centimeters in a kilometer, which is why we use this value in the formula above.
Step-by-step explanation:
I need help I already posted but no one replied.
only 1,2,5
Answers
5. The area of the base is 50.2cm2.
The area of the curved surface is 351.7 cm2.
The total surface area would be 401.9 cm2.
Simon wants to earn as many points as possible in one turn in a game. Two number cubes whose sides are numbered 1 through 6 are rolled. He is given two options for the manner in which points are awarded in the turn. OPTION A: If the sum of the rolls is a prime number, Simon receives 15 points. OPTION B: If the sum of the rolls is a multiple of 3, Simon receives 12 points. Which statement best explains the option he should choose?
Answers
Answer:
The answer is "Option A"
Step-by-step explanation:
In point A:
Rolling an indivisible prime number:
The 2 can be moved just 1 way (1,1)
The 3 can be moved two different ways (1,2) or (2,1)
The 5 can be moved four different ways (1,4) or (2,3) or (3,2) or (4,1)
The 7 can be moved six different ways (1,6) or (2,5) or (3,4) or (4,3) or (5,2) or (6,1)
The 11 can be moved two different ways (5,6) or (6,5)
There are 26 approaches to move two dice at a time.
The likelihood of rolling an indivisible number is: [tex]=\frac{(1 + 2 + 4 + 6 + 2)}{36} =\frac{15}{36}[/tex]
Because rolling an indivisible number is worth 15 focuses, the normal worth is [tex](\frac{15}{36}) \times 15 = 6.25[/tex]
In point B:
When the rolling is a numerous of 3:
The 3 can be moved two different ways (1,2) or (2,10
The 6 can be moved five different ways (1,5) or (2,4) or (3,3) or (4,2) or (5,1)
The 9 can be moved four different ways (3,6) or (4,5) or (5,4) or (6,3)
The 12 can be moved just 1 way (6,6)
The likelihood of rolling a numerous of 3 will be:[tex]= \frac{(3 + 6 + 9 + 12)}{36} = \frac{12}{36}[/tex]
because the rolling in the various of 3 is worth 12 focuses, the normal worth is[tex](\frac{12}{36}) \times 12 = 4[/tex]
Samuel ate
1/2 of the oatmeal cookies and 2/3 of the
sugar cookies for a total of 18 cookies. The number
of oatmeal cookies he ate was six more than the
number of sugar cookies he ate. How many sugar
cookies did he eat?
Answers
Answer:
9 sugar cookies
Step-by-step explanation:
Let the number of sugar cookies be x.
If the number of oatmeal cookies was six more than the number of sugar cookies, then oatmeal cookies can be represented by x + 6.
So, we know that Samuel ate half of the oatmeal cookies and 2/3 of the sugar cookies, for a total of 18 cookies. Let's represent this with an equation.
x + x + 6 = 18
2x + 6 = 18
2x = 12
x = 6
So x represents 6. Recall that he ate 2/3 of the sugar cookies, so 2 parts of sugar cookies is 6.
Therefore, we can do this:
(3/2) x 6 = 9 cookies
This is essentially saying, "I want to find 3 parts if 2 parts is 6 cookies."
He ate 9 sugar cookies.
PLZZZZZZZZZZZZ help asap no links please
Answers
Answer:
According to the instructions there should be an attached menu could you add that? Thanks :)
Step-by-step explanation:
Help plz will mark brainliest
Answers
Answer: it is 2 ft
Step-by-step explanation:
because you have to do 12/3 and that equals 4 and then you have to do 4/2 and that equals 2
Click an item in the list or group of pictures at the bottom of the problem and, holding the button down, drag it into the correct position in the answer box. Release your mouse button when the item is place. If you change your mind, drag the item to the trashcan. Click the trashcan to clear all your answers.
In a circle with a 12-inch radius, find the length of a segment joining the midpoint of a 20-inch chord and the center of the circle.
x =
Answers
Answer:
X=295.6
Step-by-step explanation:
I took the test
Answer:
295.6
Step-by-step explanation:
if the area of a rectangle is 48 square feet and the width of the rectangle is 6 feet what is the perimeter of the rectangle
Answers
Answer:
28 ft
Step-by-step explanation:
the perimeter of the rectangle is 28 feet
someone help me please
Answers
Answer:
[tex]426.9km^{2}[/tex]
Step-by-step explanation:
Area of the shaded region→
[tex]A=\frac{1}{2}*40*27-\pi *6^{2}[/tex]
→ [tex]540-113.04[/tex]
→[tex]426.9[/tex]
[tex]---------[/tex]
hope it helps..
have a great day!!!
an athlete did one round around a circle of radius 42m.what is the total distance covered by him
Answers
Answer:
2 * pi * 42 meters
Step-by-step explanation:
One round means a parameter of the circle
No Links or I will report you Algebra 1 help 2 questions Interpret Exponential Function Constant
Answers
Answer:
1) The function is decreasing exponentially at a rate of 15% every decade.
2) The function is increasing exponentially at a rate of 20% every year.
Step-by-step explanation:
1) 1–0.85 = 0.15
0.15 x 100 = 15%
2) 1.2–1 = 0.2
0.2 x 100 = 20%
5) What is the median of the data? 5, 28, 16, 32, 5, 16, 48, 29, 5, 35
O 22
O 43
O 5
O 21.9
Answers
Answer:
the answer is 22
Step-by-step explanation:
hoped I helped! i had messed up the first time lol
A dinner plate has a radius of 4 inches. What is the plate's circumference?
Answers
Answer: 8 inches
Step-by-step explanation:
Answer: 25.12
Step-by-step explanation:
C= 2πR
= 2 * 3.14*4
= 25.12
The circumference of a circle is 8pi What is the radius?
Answers
Answer:
4
Step-by-step explanation:
I need help I will give brainliest I promise please helpppp
Answers
8% of 500 is 40.
noah wrote that 6+6=12 then has write 6+6-n=12 what property of equality justifies that the equation are equivalent
Answers
Answer:
This may be written incorrectly.
Assuming that this is written correctly, then we have that:
6 + 6 = 12
is equivalent to:
6 + 6 - n = 12
Here the properties that we can add 0 in one side of the equality and this does not change the equality, so this only works if n = 0.
If we instead had:
6 + 6 = 12
is equivalent to:
6 + 6 - n = 12 - n
In this case, Noah used the additive or subtractive property of equality.
this property says that in an equality we can add (or subtract) the same value on both sides, and it does not change the equality.