Answers
The external angles of a 12-gon add up to 360 degrees so each is 30 degrees. That makes the internal angle the supplement, PQR=150 degrees.
We have an isosceles triangle so the other two angles add to 30 degrees, so 15 degrees.
Answer: 15 degrees
Angle PRO in a regular 12-gon is half an interior angle, so it measures [tex]$\boxed{75^\circ}$[/tex].
The strategy is to first calculate the sum of the interior angles of the dodecagon, and then divide that number by 2 because any angle of a regular polygon can be found by subtracting [tex]$180^\circ$[/tex] from the quotient you get when you divide the sum of the interior angles by the number of angles.
Here's the solution:
The sum of the interior angles of a polygon is given by the formula [tex]$(n-2)\times180^\circ$[/tex], where n is the number of sides.In a dodecagon, there are n=12 sides.Therefore, the sum of the interior angles of the dodecagon is [tex]$(12-2)\times180^\circ = 1800^\circ$[/tex].Since each angle of a regular polygon is equal, all the interior angles of the dodecagon measure [tex]$\frac{1800^\circ}{12} = 150^\circ$[/tex]Since [tex]$\angle PRO$[/tex] is half of an interior angle of the dodecagon, it measures [tex]$\frac{1}{2}\times150^\circ = \boxed{75^\circ}$[/tex].Related Questions
Quadrilateral BEAR is inscribed in circle o,
What is the measure of R?
Answers
If Quadrilateral BEAR is inscribed in circle o,then the measure of R is 106 degrees.
What is Quadrilateral?A quadrilateral is a four-sided polygon, having four edges and four corners.
The sum of angles of a quadrilateral is 360 degrees.
Angle E is 74 degrees.
Angle A is 92 degrees.
We need to find the angle R.
The angle at B is 90 degrees as it makes right angled.
∠E+∠A+∠R+∠B=360
74+92+∠R+90=360
256+∠R=360
Subtract 256 on both the sides
∠R=360-256
∠R=106 degrees.
Hence, the measure of R is 106 degrees.
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Mendel crossed tall pea plants with short pea plants. The offspring were all tall plants.
Which allele is recessive?
Which allele is dominant?
Answers
Answer:
short allele is recessive, tall allele is dominant
help me;( i dont understand
Answers
Given:
Line l and line m are parallel.
Co-interior angles are (12x - 8)° and 104°.
To find:
The value of x.
Solution:
Sum of co-interior angles = 180°
12x° - 8° + 104° = 180°
12x° + 96° = 180°
Subtract 96° from both sides.
12x° + 96° - 96° = 180° - 96°
12x° = 184°
Divide by 12° on both sides.
x° = 7°
x = 7
The value of x is 7.
A packing box has the dimensions 3 by 2 by 51
2 feet. What is the volume of the box?
( A rectangular prism with a length of 3 feet, width of 2 feet, and height of 5 and one-half feet. )
Use the formula V = Bh to calculate the volume of the packing box.
The area of the base of the box, B, is __ ft.2.
The volume of the box is __ ft.3.
Answers
Answer:the area of the base of the box, B, is 6 ft2
The volume of the box is 33ft3
Step-by-step explanation:
Formula to find area of the base is bh (bass x height)
Formula for volume is (base x length)
The required volume of the packing box is 33 ft^3 and area of the base B is 6 ft^2
Area of the Rectangular Prism:
The area of the rectangular prism having a length and b width with h height is
Volume = a b h
If we are interested t find area of the base then
B = a b
How to calculate volume of rectangular prism?here we have given that
a = 3 feet
b = 2 feet
h = [tex]5\frac{1}{2}[/tex] = 11/2 feet
Therefore the area of the base B = a b = 3 x 2 = 6 ft^2
Now the volume of the object is
V = B h
V = 6 x 11/2 = 33 ft^3
This is the required volume of the rectangular prism
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Suppose a fair 6-sided die is tossed five times. What is the probability that we see at least one three in the five tosses?
a. 0.5981
b.0.8300
C. 0.1667
d. 0.4019
Answers
Answer:
C. 0.1667
Step-by-step explanation:
1/6 +0/6 + -1/6
The closest answer is C. 0.1667
Based on 2nd throw of dice shows zero then 0.1667 of the answer is shown on the 3rd throw in decimal form of -1/6
there are 32 students in your freshman spanish class. Your teacher randomly chooses one student at a time to take a verbal exam. what is the probability that you are not one of the first 4 students chosen
Answers
Answer:
25% chance
Step-by-step explanation:
32/4=8
8 out of 32 is a 25% chance
*respond AsAp*
How can you use technology and the structure of a polynomial expression to make connections between a polynomial and its graph?
Answers
(0,-1) and (-2,0)
What is the slope of the graph?
What is the y-intercept of the graph?
Answers
Answer:
slope -1/2
y intercept -1
Step-by-step explanation:
To find the slope given two points
m = (y2-y1)/(x2-x1)
=(0--1)/(-2-0)
= (0+1) /(-2-0)
=1/-2
= -1/2
The y intercept is when x = 0
(0,-1) is when x =0 so the y intercept is -1
Answer:
-½; -1
Step-by-step explanation:
(0 - -1)/(-2 - 0)
1/-2
= -½
y intercept is where x = 0,
So it is -1
PLEASE HELPPPPPPP!!!!!!
You buy a new video game for $60.
The sales tax is 8%.
What is the total cost for the game including sales tax?
Choices:
$4.80
$64.80
$68
$125.80
Answers
Answer:
$64.80
Step-by-step explanation:
First, calculate the sales tax
Convert 8% into a decimal
8/100=0.08
Multiply the decimal by the cost of the game
60*0.08=4.8
$4.80 is just the tax, we have to find the total cost
Add the tax and the cost of the game
60+4.80=64.80
So, the total cost is $64.80
Hope this helps! :)
A swimming pool sets a maximum number of swimmers that can be in the pool based on the number of lifeguards on duty.
The points on the following coordinate plane show the maximum number of swimmers that can be in the pool when 2, 4, and 5 lifeguards are on duty.
What is the maximum number of swimmers that can be in the pool with 3 lifeguards on duty?
Answers
Answer:120
Step-by-step explanation:
Final answer:
The maximum number of swimmers with 3 lifeguards on duty is 31/3.
Explanation:
To find the maximum number of swimmers with 3 lifeguards on duty, we need to look at the pattern shown by the points on the coordinate plane. From the given information, we know that with 2 lifeguards, the maximum number of swimmers is 8. And with 4 lifeguards, the maximum number of swimmers is 12. With 5 lifeguards, the maximum number of swimmers is 15. So, we can assume that the pattern follows a linear relationship. To find the maximum number of swimmers with 3 lifeguards, we can create a linear equation using the two known coordinates: (2, 8) and (5, 15). Using the slope-intercept form of a linear equation, y = mx + b, we can solve for b. The slope, m, is (15-8)/(5-2) = 7/3. Plugging in one of the coordinates, such as (2, 8), we can solve for b: 8 = (7/3)(2) + b. Solving for b, we get b = 8 - 14/3 = 10/3. So, the equation for the line is y = (7/3)x + 10/3. Plugging in x = 3, we can find the maximum number of swimmers: y = (7/3)(3) + 10/3 = 21/3 + 10/3 = 31/3. Therefore, the maximum number of swimmers with 3 lifeguards on duty is 31/3.
Find the value of c that will make 9x2 + 30x + ca perfect square trinomial.
Answers
Answer:
Step-by-step explanation:
(a+b)²=a²+2ab+b²
9x²+30x+ca
=(3x)²+2×3x×5+c
=(3x)²+2×3x×5+5²-5²+c
=(3x+5)²-25+c
it is a perfect square if -25+c=0
or c=25
The value for c to make 9x²+30x+ca perfect square trinomial is 25.
What is Quadratic Equation?An algebraic equation of the second degree in x is a quadratic equation. The quadratic equation is written as ax² + bx + c = 0, where x is the variable, a and b are the coefficients, and c is the constant term.
We have Equation,
9x²+30x+ca
Using algebraic identity
(a+b)²=a²+2ab+b²
So, 9x²+30x+ca
=(3x)²+2×3x×5+c
=(3x)²+2×3x×5+5²-5²+c
=(3x+5)²-25+c
The given equation is a perfect square if -25+c=0
c = 25
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Joey has football practice every 3rd day and baseball practice every 7th day
Answers
Answer:
The 21st day
Step-by-step explanation:
If we mark the days, they will clash on the 21st day.
[tex]3*7=21[/tex]
Hope this helped. Have a nice day! Please mark brainliest!
Answer:
if i think u are talking about when these will over lap then they will over lap on the 21st day
Step-by-step explanation:
Geometry. What is the measure of segment x rounded to the nearest hundredths place? Check picture below also.
Answers
Answer:
D. 21 ft
Step-by-step explanation:
We need to use Power of Points, which basically says that for intersecting chords in a circle (see attachment), a * b = c * d.
Here, we can say that a = x, b = 6, c = 7, and d = 18. Then, we have the equation:
ab = cd
x * 6 = 7 * 18
6x = 126
x = 21
Thus, x is 21 ft.
Hope this helps!
Answer:
Last one: 21 ft
Step-by-step explanation:
x × 6 = 7 × 18
x = (7 × 18)/6
x = 21 ft
Grayson baked 24 sugar cookies. His family ate 1/3 of the cookies. How many cookies did they eat? How many cookies are left
Answers
Answer:
His family ate 8 cookies, 16 cookies left
Step-by-step explanation:
Multiply 24 by 1/3 to find what the family ate
24*1/3=8
So, his family ate 8 cookies
To find how many are left, subtract what the family ate from the total
24-8=16
So, 16 cookies are left
Hope this helps! :)
Help Please!!!! 22pts!!!!!
Three investors own a company. One partner owns One-fourthof the company, while the second partner owns Two-fifths of the company. How much does the third partner own?
Two-thirds
StartFraction 7 Over 20 EndFraction
StartFraction 13 Over 20 EndFraction
StartFraction 17 Over 20 EndFraction
Answers
Answer:
1.) 7/20 (A)Step-by-step explanation:
I got 100%Answer: A - 2/3
Step-by-step explanation:
B I
E
C K
A N ✨ ✨✨
U O
S W
E
What is 5(x+20) = 7x+30?
Answers
Answer: 35
Step-by-step explanation:
Simplifying
5(x + 20) = 7x + 30
Reorder the terms:
5(20 + x) = 7x + 30
(20 * 5 + x * 5) = 7x + 30
(100 + 5x) = 7x + 30
Reorder the terms:
100 + 5x = 30 + 7x
Solving
100 + 5x = 30 + 7x
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '-7x' to each side of the equation.
100 + 5x + -7x = 30 + 7x + -7x
Combine like terms: 5x + -7x = -2x
100 + -2x = 30 + 7x + -7x
Combine like terms: 7x + -7x = 0
100 + -2x = 30 + 0
100 + -2x = 30
Add '-100' to each side of the equation.
100 + -100 + -2x = 30 + -100
Combine like terms: 100 + -100 = 0
0 + -2x = 30 + -100
-2x = 30 + -100
Combine like terms: 30 + -100 = -70
-2x = -70
Divide each side by '-2'.
x = 35
Simplifying
x = 35
Answer:
[tex]x=35[/tex]
Step-by-step explanation:
Step 1: Distribute
[tex]5(x + 20) = 7x + 30[/tex]
[tex](5 * x) + (5 * 20) = 7x + 30[/tex]
[tex]5x + 100 = 7x + 30[/tex]
Step 2: Subtract 5x from both sides
[tex]5x + 100 - 5x = 7x + 30 - 5x[/tex]
[tex]100 = 2x + 30[/tex]
Step 3: Subtract 30 from both sides
[tex]100 - 30 = 2x + 30 - 30[/tex]
[tex]70 = 2x[/tex]
Step 4: Divide both sides by 2
[tex]70 / 2 = 2x / 2[/tex]
[tex]35 = x[/tex]
Answer: [tex]x = 35[/tex]
The height of a triangular prism is 6 cm and its base is an equilateral triangle with an area of 25 sq cm. Find the volume of the prism.
Answers
Answer:
150cm³
Step-by-step explanation:
volume =1/2b×bh×h
volume=25×6
=150
hope this helps
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Final answer:
The volume of the triangular prism is found by multiplying the area of the base (25 sq cm) by the height (6 cm), which results in a volume of 150 cubic centimeters.
Explanation:
The question asks for the calculation of the volume of a triangular prism. The formula to find the volume (V) of a triangular prism is V = base area × height. The base area of the prism is given as 25 sq cm, and the height is 6 cm. Therefore, the volume of the triangular prism is calculated as follows:
V = base area × height
V = 25 cm² × 6 cm
V = 150 cm³
Thus, the volume of the triangular prism is 150 cubic centimeters.
The solutions to the equation x4 + 2x3 + 24 = 13x2 + 14x occur at x = –4, x = –2, x = 1, and x = 3. At what points does the graph of the function f(x) = x4 + 2x3 – 13x2 – 14x + 24 intersect the x-axis?
A) (0, –4), (0, –2), (0, 1) and (0, 3)
B) (0, 4), (0, 2), (0, –1) and (0, –3)
C) (–4, 0), (–2, 0), (1, 0), and (3, 0)
D) (4. 0), (2, 0), (–1, 0), and (–3, 0)
Answers
Answer:
C. (–4, 0), (–2, 0), (1, 0), and (3, 0).
Step-by-step explanation:
The points where the graph intersects the x axis have y coordinates of zero and the given x coordinates.
(–4, 0), (–2, 0), (1, 0), and (3, 0) is the answer.
Factor completely 5x2 − 40
Answers
Answer:
-30
Step-by-step explanation:
I am assuming that x here is a multiplication sign. If so than the simplification is easy:
First, 5 x 2 is 10Next, 10 - 40 = -30Vera ordered a soup, salad, and sandwich to share with her friends. The probabilities of each item being ready first are as follows:P(Soup ready first)=
5
1
start text, P, left parenthesis, S, o, u, p, space, r, e, a, d, y, space, f, i, r, s, t, end text, right parenthesis, equals, start fraction, 1, divided by, 5, end fraction
P(Salad ready first)=0.45\text{P(Salad ready first}) = 0.45
P(Salad ready first)=0.45
start text, P, left parenthesis, S, a, l, a, d, space, r, e, a, d, y, space, f, i, r, s, t, end text, right parenthesis, equals, 0, point, 45
P(Sandwich ready first)=35%\text{P(Sandwich ready first}) = 35\%
P(Sandwich ready first)=35%
start text, P, left parenthesis, S, a, n, d, w, i, c, h, space, r, e, a, d, y, space, f, i, r, s, t, end text, right parenthesis, equals, 35, percent
Put the following events in order from least to most likely.
Salad ready first\text{Salad ready first
Answers
its
Soup ready first
Sandwich ready first
Salad ready first
Answer:
Soup ready first
Sandwich ready first
Salad ready first
Step-by-step explanation:
Which pair of angles must be supplementary?
Which pair of angles must be supplementary?
2 lines intersect to form right angles. Another line goes through the lines diagonally to form 6 angles. From top left, clockwise, the angles are 2 (90 degrees), 1, 6, 5 (90 degrees), 4, 3.
Angle 1 and Angle 6
Angle 2 and Angle 5
Angle 5 and Angle 4
Angle 6 and Angle 2
Answers
Answer:
I think 2 and 5
Step-by-step explanation:
The pair of angles must be supplementary are ∠2 and ∠5.
The correct option is (B)
What is supplementary angle?Two angles are called supplementary when their measures add up to 180 degrees.
Given that:
∠2=90 and ∠5=90
So,
∠2+∠5
=90+90
=180
Hence, angle 2 and 5 makes supplementary angles.
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how to compare box plots.
Answers
Compare the interquartile ranges (that is, the box lengths), to compare dispersion.
Look at the overall spread as shown by the adjacent values. (This is another aspect of dispersion.)
Look for signs of skewness. If the data do not appear to be symmetric, does each batch show the same kind of asymmetry?
Look for potential outliers.
Box plots, or box-and-whisker plots, show data distribution through five main points: minimum, Q1, median, Q3, and maximum. A wider box indicates greater variability within the middle 50% of the data. To compare box plots, assess the spreads, medians, and potential outliers.
Explanation:A box plot, also known as a box-and-whisker plot, is a graphical representation of a data set that shows the distribution through five main data points: minimum value, first quartile (Q1), median, third quartile (Q3), and maximum value.
To construct a box plot, you typically start with a number line that has been properly scaled. Using a ruler for this purpose ensures accuracy.
The box in a box plot represents the middle 50 percent of the data, spanning from Q1 to Q3.
The 'whiskers' of the plot stretch from the box to the minimum and maximum values, indicating the entire range of the dataset.
Comparing the spread of the middle 50 percent of the data involves looking at the width of the box: a wider box suggests a greater spread, meaning the data is more varied within the interquartile range (IQR).
If you are using a graphing calculator, you can enter the data into a list and then select the box plot function to graphically display the data.
When comparing two or more box plots, look for differences in their central values (medians), spreads (IQRs), and potential outliers (which lie beyond 1.5 times the IQR from the quartiles).
How can you find the area of a two-dimensional composite figure, or the surface area of a three-dimensional composite figure?
A.
Multiply the number of sides by the area of one side of the composite figure.
B.
Add the areas of all shapes or all faces that make up the composite figure.
C.
Multiply the length times the width times the height of the shapes that make up the composite figure.
D.
Add the measures of all angles of the composite figure.
NEED HELPP
Answers
Answer: D
Step-by-step explanation: To find the surface area of a composite 3D figure, add the areas of each geometric figure making up the composite 3D figure. To find the volume of a composite 3D figure, draw any necessary planes to view the figure as basic three dimensional figures, then: add basic figure volumes belonging to the composite shape.
Dividing the number of sides by the area of one of the composite figure's sides. and adding the areas of all the forms or faces that comprise the composite figure helps to find the area of a two-dimensional composite figure. Options A and B are correct.
What is surface area?The total land area of all the faces of a three-dimensional object is its surface area. When we wish to wrap something in real life, we employ the notion of surface areas of distinct things.
The area of a two-dimensional composite figure or the surface area of a three-dimensional composite figure may be calculated by;
Dividing the number of sides by the area of one of the composite figure's sides. and add the areas of all the forms or faces that comprise the composite figure.
Hence, options A and B are correct.
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Note: if one letter is incorrect in a term, that part of the puzzle will be graded as a missed answer.
- Across
2) A two-word phrase in a word problem that is a key word for subtraction.
4) A word used to show multiplication in a word problem.
7) A word that means something has been added.
8) A phrase in a word problem that tells you to subtract.
9) This is characterized by the symbol <, and is always read from left to right.
10) A word or phrase used to show division in a word problem.
- Down
1) A verbal phrase in a word problem that is a key word for subtraction.
3) A two-word phrase in a word problem that means to add.
5) A mathematical term that does not include an equal or inequality sign is called an _ _ _ _ _ _ _ _ _ _.
6) A verbal phrase in a word problem that means to add.
Submit
Answers
The noun addition comes from the Old French word adition, meaning “that which is added.” A new room built onto your house, a new item in a store’s inventory, even another baseball cap in your collection - all of these are additions.
A certain company gives its salespeople a bonus every six months. This bonus is calculated by averaging (taking the mean of) the four middle monthly sales values (that is, ignoring the highest and lowest) from the six-month window, taking 12% of the result, and splitting it evenly among the salespeople. The graph below shows sales for the most recent bonus period. A bar graph titled Total Sales has month on the x-axis and sales (dollars times 1,000) on the y-axis. January, 21.6; February, 18.9; March, 29.2; April, 18.4; May, 17.1; June, 26.1. If there are five salespeople, how much money will each one receive, to the nearest dollar? a. $556 b. $525 c. $510 d. $486
Answers
Answer:
The answer is C. $510.
I have just took the test.
Option C is correct, Each person receives an amount of $510.
What is Graph?Graph is a mathematical representation of a network and it describes the relationship between lines and points.
To calculate the bonus, we need to find the four middle monthly sales values.
Arranging the sales values in ascending order, we get:
17.1, 18.4, 18.9, 21.6, 26.1, 29.2
The four middle values are: 18.4, 18.9, 21.6, and 26.1.
Average= (18.4 + 18.9 + 21.6 + 26.1) / 4 = 21.25
Taking 12% of this value gives:
0.12 x 21.25 = 2.55
The bonus amount to be split among the five salespeople is $2.55. Therefore, each salesperson will receive:
2.55 / 5 = 0.51
Therefore, each salesperson will receive $1 as a bonus.
Hence, Option C is correct, Each person receives an amount of $510.
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The ratio of petunias to geraniums in the greenhouse was 15 to 2. The combined numbernof petunias and geraniums was 1020.
ILL GIVE YOU BRAINLIEST!! How many geraniums were in the greenhouse?
A. 30
B. 510
C. 68
D. 2040
E. 120
Answers
Answer:
E. 120
Step-by-step explanation:
Let's say the number of total flowers is (15+2)x
That means the number of geraniums is 2x.
That also means that 1020 = 17x, which makes x = 60
Because 2x = geraniums and x = 60, the number of geraniums is 120
A teacher needs to find out how many seventh-grade students will be going on a field trip. Which best describes the population that the teacher should survey?
A) the parents of all the students in the school
B) the parents of the seventh-grade students
C) each teacher in the school
D) each student in the school
Answers
Answer:
B
Step-by-step explanation:
The parents of the seventh-grade students, best describe the population that the teacher should survey. Option B is correct.
What is a survey?A survey in human subjects research is a set of questions designed to elicit specific information from a specific group of people.
As mentioned in the question, the teacher needs to find out how many seventh-grade students will be going on a field trip. For this teacher must ask to the students of seventh grade as well as survey the parents of the seventh-grade students.
Thus, the parents of the seventh-grade students, best describe the population that the teacher should survey. Option B is correct.
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What is the answer??
Answers
This is your Answer
Casey surveyed the members of his soccer team to ask them what their favorite sport is
Answers
Answer:
yes, that is very correct
Step-by-step explanation:
yes
Area of rectangle with a length of 3 2/3m and a height of 1 1/4m.
Answers
Answer:
4.5834m^2
Step-by-step explanation:
You do (length)*(width) which is (3 3/2m)*(1 1/4m) = 4.5834m^2 This is rounded because it was 4.5833333333 repeating.
Answer: the answer is 4 7/12m
Step-by-step explanation: Multiply both 3 2/3 and 1 1/4 to get 4 7/12. i know it isn't an explanation.