Answer:
[tex]x = 19[/tex]
Step-by-step explanation:
Given
Shape: Regular Dodecagon
Interior Angle = 8x - 2
Required
Determine x
The sum of n terms of a regular polygon is:
[tex]Sum=180(n-2)[/tex]
Sides of a dodecagon is 12; So, we have:
[tex]Sum=180(12-2)[/tex]
[tex]Sum=180(10)[/tex]
[tex]Sum=1800[/tex]
Each angle is gotten by dividing 1800 by 12
[tex]Angle = \frac{1800}{12}[/tex]
[tex]Angle = 150[/tex]
Equate this to 8x - 2:
[tex]8x - 2 = 150[/tex]
Solve for x
[tex]8x = 150 + 2[/tex]
[tex]8x = 152[/tex]
[tex]x = 152/8[/tex]
[tex]x = 19[/tex]
Please help me and don’t look on the internet
Question 1
[tex]\left(\frac{-5+2}{2}, \frac{5-5}{2} \right)=\boxed{\left(-\frac{3}{2}, 0 \right)}[/tex]
Question 2
Let the coordinates of the other endpoint be (x,y).
[tex]\left(\frac{x + 4}{2}, \frac{y+8}{2} \right)=( - 6,4) \\ \\ \implies \frac{x + 4}{2}=6 \implies x= - 16\\ \\ \frac{y+8}{2}=4 \implies y=0[/tex]
So, the coordinates of the other endpoint are (-16,0).
HELP ILL GIVE BRAINLIEST AND THANKS
I think my teacher is sleep deprived
I have actually no idea how to do this- none of the answer choices seem to be correct or maybe i'm just... anyways help me!!!
Question: -4pv+ 9= -5
a.3.5
b. -14
c. -45
Answer:
B. -14
Step-by-step explanation:
sana maka tulong ako sayo
at ano ba ang grade nyo
which ordered pair is the solution of the system of equations shown?
y= -x + 5
y= 5x-6
Answer(1.833,3.167)
Step-by-step explanation:
Find the value of x.
m2 = x + 67
Answer:
x=m2-67
Step-by-step explanation:
Answer:
x=m2-67
is the actual answer I
Can somebody explain this?
Answer:
(xy+5)/(xy+3)
Step-by-step explanation:
Given a ratio of rational expressions, you want the simplified version.
SimplifyingThe colon separating the two expressions is one of the ways a ratio is written. In this context, it can be replaced by "divided by" (÷). Of course, the division is carried out in the usual way: multiplying by the inverse of the denominator.
The product is simplified by cancelling common factors. This requires each of the polynomials be factored.
[tex]\dfrac{x^2y^2-4}{x^2y^2+xy-2}\div\dfrac{x^2y^2+xy-6}{x^2y^2+4xy-5}=\dfrac{x^2y^2-4}{x^2y^2+xy-2}\times\dfrac{x^2y^2+4xy-5}{x^2y^2+xy-6}\\\\=\dfrac{(x^2y^2-4)(x^2y^2+4xy-5)}{(x^2y^2+xy-2)(x^2y^2+xy-6)}=\dfrac{(xy-2)(xy+2)(xy-1)(xy+5)}{(xy-1)(xy+2)(xy-2)(xy+3)}\\\\=\boxed{\dfrac{xy+5}{xy+3}}[/tex]
evaluate the expression when n=-4
n^2+5n+7
Answer:
3
Step-by-step explanation:
When n= -4 we replace in the given formula and evaluate the answer as shown below:
(-4)^2 + 5 (-4) + 7 = 16 - 20 + 7 = 3
Please help I dont understand..
Answer:
2. A
3. H
4. D
5. C
6. G
7. E
8. F
you rent an apartment that costs $1600 per month during the first year ,but the rent is set to go up 11.5% per year.what would be rent of the apartment during the 10th year of living in the apartment? round to the nearest tenth (if necessary ).
Answer:
$4,750.
Step-by-step explanation:
To determine the rental value of the apartment in the tenth year, knowing that it is worth 1,600 during the first year but that it will be adjusted annually to 11.5%, the following calculation must be made:
X = 1,600 x (1 + 0.115) ^ 10
X = 4,751.91
Thus, at ten years, rounded to the nearest tenth, the rental value will be $ 4,750.
The rent of the apartment during the 10th year of living in the apartment is 4,751.9.
Rent of the apartment:Let x represent the rent of the apartment
Hence:
x= 1,600(1 + 0.115)^10
x=1,600(1.115)^10
x=4,751.9
Inconclusion the rent of the apartment during the 10th year of living in the apartment is 4,751.9.
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You have a plate of 40 cookies. Ten have chocolate chips and 15 have pecans. Of the cookies mentioned in the preceding
sentence, four have both chocolate chips and pecans. You select a cookie at random. What is the probability that your cookie has
chocolate chips or pecans?
(Express numbers in exact form. Use symbolic notation and fractions where needed.)
probability your cookie has chocolate chips or pecans:
Using Venn probabilities, there is a 0.525 = 52.5% probability that your cookie has chocolate chips or pecans.
What is a Venn probability?In a Venn probability, two non-independent events are related with each other, as are their probabilities.
The "or probability" is given by:
[tex]P(A \cup B) = P(A) + P(B) - P(A \cap B)[/tex]
For this problem, the events are given as follows:
Event A: Chocolate chips.Event B: Pecans.From the text, the probabilities are given as follows:
[tex]P(A) = \frac{10}{40}[/tex].[tex]P(B) = \frac{15}{40}[/tex][tex]P(A \cap B) = \frac{4}{40}[/tex]Hence the "or probability" is given by:
[tex]P(A \cup B) = \frac{10}{40} + \frac{15}{40} - \frac{4}{40} = \frac{21}{40} = 0.525[/tex]
0.525 = 52.5% probability that your cookie has chocolate chips or pecans.
More can be learned about Venn probabilities at https://brainly.com/question/25698611
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. Two rectangles have a ratio of similarity of 4/7. If one side of the small rectangle is 12m long, how long is the same side of the larger rectangle?
Answer:
For two rectangles to be similar, their sides have to be proportional (form equal ratios). The ratio of the two longer sides should equal the ratio of the two shorter sides.
Step-by-step explanation:
Amber is saving money to buy a bicycle She saves $60 her
grandfather gave her, and plans to save an additional $5 each
week. How much will Amber save after w weeks?
Total savings
Use a bar diagram to represent the amount
Amber will save after w weeks.
$60
Amber will save 60 + 5w dollars
after w weeks
Money from grandfather
Weekly
savings
Reggie drives 10 miles from the airport to the highway. Once on the highway, he drives at
a speed of 55 miles per hour. What is Reggie's total distance from the airport h hours after
reaching the highway?
1. Complete the bar diagram.
Total distance
55 miles per hour
Distance
traveled to
highway
Hourly distance on highway
Answer:
Reggie travels a speed of 55 miles an hour
Step-by-step explanation:
How do you solve this??
Answer:
0.51
Step-by-step explanation:
Considering the residents aged 50 or over, there are:
507 high school only2652 some college1958 bachelor's1392 master'sThis means that there are a total of 3350 people out of the 6509 that meet the required conditions, and thus the answer is 3350/6509, which is about 0.51.
could you explain how to find this?
Remember the formula for calculating volume is: Volume = Area by height. V = A X h.
For a triangle the area is calculated using the formula: Area = half of base by altitude. A = 0.5 X b X a.
So to calculate the volume of a triangular prism, the formula is: V = 0.5 X b X a X h. i hoped this helped sorry if it didnt
PLZ HELP ME BRAINLIEST IF CORRECT
Answer:
Izi. (1,2)
Step-by-step explanation:
Just look at the graph and see where the x and y meets together when the line is being crossed
A 97% confidence interval for the mean of a population is to be constructed and must be accurate to within 0.3 unit. A preliminary sample standard deviation is 1.4. The smallest sample size n that provides the desired accuracy is
Answer:
The sample size will be "[tex]102.5494 \sim 102[/tex]". A further explanation is given below.
Step-by-step explanation:
Let the sample size will be:
= n
The given values are:
Standard deviation,
= 1.4
ME,
= 0.3
As we know,
⇒ [tex]n=(Z \frac{a}{2}\times \frac{SD}{E})^2[/tex]
On putting the estimated values, we get
⇒ [tex]=(2.17\times \frac{1.4}{0 .3})^2[/tex]
⇒ [tex]=(\frac{3.038}{0.3})^2[/tex]
⇒ [tex]=102.5494 \sim 102[/tex]
What is the solution to this equation?
3x - 6 = 6
O A. x = 3
O B. x = 11
O C. x = 2
O D. x = 4
please someone help
Answer:
x = 4 or D
Step-by-step explanation:
3x - 6 = 6
Solve for x
3x = 12
x = 4
Maggie and her friends played an online trivia game. Their scores at the end of the game were −1, 3, 0, −2, 1, −3, and 4 points. a. List the scores in order from greatest to least. b. Write an inequality to show the relationship between the largest and the smallest value. c. Write a statement that interprets the inequality you wrote as a statement about the relative position of those numbers on a number line.
The scores in order from the greatest to the least is 4, 3, 1, 0, -1, -2, -3.
The inequality that shows the relationship between the greatest and least number is 4 > -3.
On the number line, four is greater than -3.
What is the number listed from greatest to least?Integers are whole numbers. It is a number without a fraction or decimal component. Integers can either be positive, negative or zero. Examples from integers are 0, -1 and 1.
The farther a positive number is from zero on the number line, the greater the positive number. The closer a negative number is to zero on the number line, the greater the negative number.
For example, 10 is greater than 4 because 4 is closer to 0 when compared to 10. -4 is greater than -10 because -4 is closer to 0 than -10 on the number line.
Here are inequality signs and what they mean:
> means greater than
< means less than
≥ means greater than or equal to
≤ less than or equal to
The sign that would be used to show the relationship between the greatest and the least number is the greater than sign (>)
4 > -3
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HALP PLAS NEED HALP PLESAAA
Answer:
the answer is 32
Step-by-step explanation:
ywwwww
Answer:
the answer is 32..... 32
40% of N is 80. Find N
Answer:
i think N=32
Step-by-step explanation:
Patrick graphed a square with the area of 50 square units on a coordinate plane. one of the verticles of the square is located at (5,10). which could the other three vertice of the square
Answer:
The other 3 vertices would be (10,5) , (5,0) , and (0,5)
Step-by-step explanation:
ab and bc length and midpoint
Mitzi received some gourmet brownies as a gift. The wrapper said each brownie was 420 calories, and had 113 calories of fat. What percent of the total calories in each brownie comes from fat?
The percent of the total calories in each brownie that comes from fat is 26.9%
What percent of the total calories in each brownie comes from fat?
We know that the total amount of calories in each brownie is 420 calories, so that number represents our 100%, then we can write the relation:
420 cal = 100%
Now, the fat has 113 calories, this is a percentage X that we want to find, so we can write:
113 cal = X
We have the two relations:
113 cal = X
420 cal = 100%
If we take the quotient we get:
(113 cal/420 cal) = X/100%
Solving for X.
(113 cal/420 cal)*100% = X = 26.9%
So, the percent of the total calories in each brownie that comes from fat is 26.9%.
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Order the orange juice mixtures so that the strongest tasting one is listed first.
Claire mixes 2 1/2 cups of water with 1/3 cup of orange juice concentrate.
Han mixes 1 2/3 cups of water with 1/4 cup of orange juice concentrate.
GUYS PLEASE HELP DUE TODAY :( .
Answer:
Han's mixture, Claire's mixture
Step-by-step explanation:
I figured out the percentage of orange juice for each person's mixture:
For Claire:
2 1/2 + 1/3 = 2 5/6
2 5/6 as a decimal: about 2.8
Now find what percent of Claire's total mixture was orange juice:
100 * 1/3 / 2.8 = about 11.9%
For Han:
1 2/3 + 1/4 = 1 11/12
1 11/12 as a decimal: about 1.9
Now find what percent of Han's total mixture was orange juice:
100 * 1/4 / 1.9 = 13.2%
So, Han's mixture is stronger, since his has the higher percentage of orange juice concentrate
A restaurant mixes homemade barbecue sauce with their smoked pulled pork using a ratio of two cups of sauce for every four pounds of shredded pulled pork. Write two rates to represent this relationship.
The two rates that can be used to represent this relationship are:
2 cups : 4 pounds, and 1 cup : 2 poundsWhat is a ratio?A ratio is a comparison between two numbers that can be separated with (:) sign or can be represented as a fraction. This comparison deals with the same units.
However,
A rate of a ratio deals with the comparison between different units.From the parameters given:
The ratio rates occur between the homemade barbecue and smoked pulled porkFor every 2 cups of barbecue sauce, 4 pounds of pulled pork is used.
Therefore, we can conclude that the two rates that can be used to represent this relationship are:
2 cups : 4 pounds, and 1 cup : 2 poundsLearn more about ratio here:
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The sum of two linear functions yields a new linear function. Find the sum of f(x) and g(x) given that f(x) = 3x-7 and g(x) =-10x + 1. Call this new function h(x). Write the equation for h(x) below.
Answer:
Step-by-step explanation:
in simple language h(x) = f(x)+ g(x)
=f(x) +g(x)
h(x)=(3x-7)+(-10x+1)
h(x)= 3x-10x-7+1
h(x)=-7x-6 is yournew derived function
How are circumference and area the same? How are they different?
Francis walked 450 feet.Trey walked 6 yards less than Francis.How many yards did Trey walk
Answer:
432
Step-by-step explanation:
1 yard=3 feet
6 x 3=18
450 - 18=432
Please:
Please give me brainliest.
Which is an equation for the line that passes through the points (-3, 13)
and (2,-2)?
Answer:
y=-3x+4
Step-by-step explanation:
HELP MEEEE (and dont steal its just wrong) i really need help tho.
Answer: 3) two angles are opposite angles
Step-by-step explanation:
Answer:
Angles opposite to congruent sides are congruent.
Step-by-step explanation:
According to a particular theorem:
1) Sides opposite to equal angles are congruent.
2) Angles opposite to equal sides are congruent.
Here, We have been given that LO ≅ PO
So, The angles opposite to these sides will also be equal.
Such that:
∠MOL ≅ ∠NOP
[tex]\rule[225]{225}{2}[/tex]
Hope this helped!
~AH1807What does the transformation f(x)↦f(x)+3 do to the graph of f(x)?
Answer:
It moves the line up 3 units
Step-by-step explanation: