It is asking for a convex nonagon, not a convex polygon. So in this case we are looking for a shape with 9 straight lines and 9 angles. Which means we can cross A out.
Now we need to look at which nonagon is a convex nonagon which means that we are looking for the shape having only interior angles measuring less than 180°. So this means that B and D can be crossed out.
Thus, the answer is C.
P.S. If you find my answer helpful, please mark me brainiest!
how do you solve for x?
Answer: x = 6
Step-by-step explanation:
m<CAD = m<BAC
m<CAD = 4x
m<CAD + m<BAC = m<BAD
4x + 4x = 10x - 12
8x = 10x - 12
-10x -10x
-2x = -12
x = -12/-2
x = 6
if you answer quickly i will give a good review!
The inverse of function is \(f^{-1}\)(x) = (x-8)² + 5.
What is Function?In mathematics, a function is represented as a rule that produces a distinct result for each input x. The collection of all the values that the function may input while it is defined is known as the domain. The entire set of values that the function's output can produce is referred to as the range. The set of values that could be a function's outputs is known as the co-domain.
Given:
f(x) = √(x-5) + 8
so, take y= √(x-5) + 8
(y-8)² = x-5
or, (y-8)² + 5= x
now, replace y from x to get the inverse.
So, the value of \(f^{-1}\)(x) = (x-8)² + 5
Learn more about function here:
https://brainly.com/question/12431044
#SPJ9
100PT! ABCD is a square. Given only the choices below, which properties would you use to prove AEB ≅ DEC by ASA? (You can choose more than one!)
Opposite angles are congruent.
The diagonals bisect each other.
All sides are congruent.
Opposite sides are parallel.
To prove AEB ≅ DEC by ASA (Angle-Side-Angle), the properties that can be used are:
1. Opposite angles are congruent: This property is necessary to establish that ∠AEB ≅ ∠DEC, as both angles are opposite each other in the square ABCD.2. All sides are congruent: This property is necessary to establish that AE ≅ DE, as both sides are corresponding sides of the square ABCD.So, the properties to use for proving AEB ≅ DEC by ASA are "Opposite angles are congruent" and "All sides are congruent."
\(\huge{\mathcal{\colorbox{black}{\textcolor{lime}{\textsf{I hope this helps !}}}}}\)
♥️ \(\large{\textcolor{red}{\underline{\texttt{SUMIT ROY (:}}}}\)
Answer:
To prove AEB ≅ DEC by ASA (Angle-Side-Angle), the properties that can be used are:
1. Opposite angles are congruent: This property is necessary to establish that ∠AEB ≅ ∠DEC, as both angles are opposite each other in the square ABCD.
2. All sides are congruent: This property is necessary to establish that AE ≅ DE, as both sides are corresponding sides of the square ABCD.
So, the properties to use for proving AEB ≅ DEC by ASA are "Opposite angles are congruent" and "All sides are congruent."
Step-by-step explanation:
need help due tomorrow
Answer:
D
Step-by-step explanation:
The graph goes up by 50 each time, but each line is half of 50 which means it is 25. (50/2) So the start (the start is always 0) of the her savings account is 3 lines above the 0 weeks mark. 25x3 = 75. Therefore, the beginning balance of her savings account had $75.00.
Answer:
D. $75.00
Step-by-step explanation:
We Kow
The x-axis is the number of weeks, and the y-axis is the account balance.
What was the beginning balance of Sophie's savings account?
We see at 0 weeks, the balance is $75, so the answer is option is D. $75.00
Simplify 18m^0 / 18^0
Answer:
I do not know the answer sorry I just need points
please help 15pts and will give brainlist!!
Answer:
1st ans
(x+15)=135(alternate angle)
x=135-15
x=120
2nd ans
(8x-4)=92(corresponding angle)
8x=92+4
x=96/8
x=12
3rd ans
(x+1)=51(vertically opposite angle)
x=51-1
x=50
Angle A and angle B are supplementary (180°)
and their measures have a difference of 50°. What
are the measures of the angles? Generalize
your method.
Answer:
65° and 115°
Step-by-step explanation:
Given: Angle A and Angle B are supplementary
Let x represent Angle A. Since the angles have a difference of 50, Angle B would be x+50.
We are given that Angle A and Angle B are supplementary which means they add up to 180°. We can use this information to set up an equation.
Angle A + Angle B = 180
Substitute the variables we used to represent Angle A and B into the equation
x+x+50=180
Combine like terms
2x+50=180
Subtract both sides by 50
2x=130
Divide both sides by 2
x=65
x+50=65+50=115
The measure of the angles are 65° and 115°
Answer:
65 and 115 degrees.
Step-by-step explanation:
Set up and define the variables.
Angle A: x
Angle B: x + 50 {this is because one is 50 degrees more than the other}
Set up equation.
- {supplementary angles have a combined sum of 180}
x + x + 50 = 180
Solve equation.
2x + 50 = 180
2x = 130
x = 65
Substitute answers into original setup of variables.
A: 65
B: 65+50= 115
what is the volume of the following rectangular prism? 1 1/3 units 4 1/2 units2
Answer: 6 units^3
Step-by-step explanation:
using the volume of a rectangular prism formula:
L*W*H
We are already given the AREA which is the part L*W of the previous formula.
Now we multiply:
1 1/3 units * 4 1/2 units^2
Convert the fractions into 4/3 * 9/2 for an easier multiplication.
Resulting in 36/6 which is equivalent to 36 divided by 6.
Which gives us our answer of 6.
The formula for the area of a rhombus is A = a equals StartFraction one-half EndFraction d 1 d 2.D1d2, where d1 and d2 are the lengths of the diagonals Which are equivalent equations? Select two correct answers.
Answer:
d1=2A/d2
d2=2A/d1
Step-by-step explanation:
The options of this question are:
1. d₁=2Ad₂
2. d₁= 2A/d₂
3. d₂= d₁/2A
4. d₁= 2A/d₂
5. d₂= 2Ad₁
Given:
A=1/2(d1*d2)
Multiply both sides by 2
We have,
2A=d1*d2
Divide both sides by d2
2A/d2=d1*d2/d2
2A/d2=d1
Therefore, d1=2A/d2
Similarly, from the previous equation
2A=d1*d2
Divide both sides by d1
2A/d1=d1*d2/d1
2A/d1=d2
Therefore,
d2=2A/d1
Options
2. d₁= 2A/d₂
4. d₁= 2A/d₂
Answer:
2 and 4 are the answers
Step-by-step explanation:
the population mean will always be the same as the mean of all possible that can be computed from samples of size 15. true false
False, the population mean will always not be the same as the mean of all possible that can be computed from samples of size 15.
The mean of all possible samples of size 15 (also known as the sampling distribution mean) will be centered around the population mean, but it may not necessarily be exactly the same as the population mean. The sampling distribution mean can be thought of as an estimate of the population mean, and its accuracy will depend on factors such as the sample size and the variability of the population. However, as the sample size increases, the sampling distribution mean will become a better and more accurate estimate of the population mean.
In statistics, a sample is a subset of a population that is used to estimate or infer information about the population. The mean of a sample is the average of the observations in the sample, and the population mean is the average of all the observations in the entire population.
The mean of all possible samples of a fixed size, taken from a population, is called the sampling distribution mean. The sampling distribution mean is a theoretical concept and is not based on any specific sample. It is the distribution of all possible sample means that could be obtained from the population.
To learn more about mean
https://brainly.com/question/1136789
#SPJ11
Solve this and whoever is right I'll mark if I can remeber
Answer:
14
Step-by-step explanation:
Answer:
14m squared
Step-by-step explanation:
2.5×2=5
5÷2=2.5
2.5 is the area for each triangle and there are four triangles altogether so
2.5×4=10
to find the square do 2×2=4
so 4m+10m=14m
HELPP ASAP IS PLEASEEE DONT SEND A FILE AT ALL STEP BY STEP EXPLANATION
Answer:
x + 6 y - 4
Step-by-step explanation:
A moved 6 units to the right so plus 6 then moved 4 units down so minus 4
The series [infinity]Σ n=1 4^nx^2n/n converges conditionally when
(a) x = 1/2
(b) x = -1/2
(c) x = ±1/2
(d) None of the above.
The series [infinity]Σ n=1 (4^n * x^(2n))/n converges conditionally when x is in the interval: (c) x = ±1/2
To determine when the series [infinity]Σ n=1 (4^n * x^(2n))/n converges conditionally, we can use the ratio test. Let's apply the ratio test to the series:
lim(n→∞) |(4^(n+1) * x^(2(n+1)) / (n+1)) / (4^n * x^(2n) / n)|
Simplifying this expression:
lim(n→∞) |(4^(n+1) * x^(2(n+1)) * n) / (4^n * x^(2n) * (n+1))|
Simplifying further:
lim(n→∞) |4 * x^2 * n / (n+1)|
Taking the absolute value and applying the limit:
lim(n→∞) |4 * x^2 * n / (n+1)| = |4 * x^2|
Now, for the series to converge conditionally, the ratio |4 * x^2| must be less than 1. Therefore, we have:
|4 * x^2| < 1
Solving this inequality:
-1 < 4 * x^2 < 1
Dividing all terms by 4:
-1/4 < x^2 < 1/4
Taking the square root of all terms:
-1/2 < x < 1/2
Hence, the series [infinity]Σ n=1 (4^n * x^(2n))/n converges conditionally when x is in the interval: (c) x = ±1/2
To learn more about series click here:
brainly.com/question/31062040
#SPJ11
For a moving object, the force acting on the object varies directly with the object's acceleration. When a force of 90 N acts on a certain object, the acceleration of the object is 10 m/s² . If the force is changed to 81N , what will be the acceleration of the object?
Answer:
9 1/10th m/s2 :)
Step-by-step explanation:
The reason it is 1/10 is because the Number is 81 not 80, therefore 1/10 because there it is 1 left in 80 making it a fraction not a whole :) i hope this helps sorry if the explanation is too complicated...
Lola purchased two pairs of shoes that each cost $20.00. She then purchased a pair of jeans for $14.50 and a shirt for $8.25. What is the total amount of money she spent, before tax?
Answer:
62.75
Step-by-step explanation:
two pairs of shoes 20 each equals 40 bucks plus 14.50 equals 54.50 plus 8.25 equals 62.75
1) Eliminate one of the variable terms on one side of each multi-step equation: Multi-Step Equation 7a-6=7+ 2a 11 - 3b = 3b + 4 -2b-5=6 - 5b Equivalent Two-Step Equation
Answer:
Step-by-step explanation:lol
Line BD is tangent to a circle with diameter AB. Explain why the measure of angle BCA must equal the measure of angle ABD.
Answer:
This is because angles inscribed in a semicircles are 90 degrees (BCA)
The tanget of that circle is also a 90 degree angle to the diameter (ABD)
Therefore they're both 90 degrees
The measure of angle BCA must equal the measure of angle ABD should be that angle should be inscribed in a semicircles that are 90 degrees,
What is the inscribed angle?In terms of geometry, an inscribed angle refer to the angle that should be created in the interior of a circle at the time when two chords should be intersect on the circle. It can also be refer to the angle subtended at a point on the circle via two given points on the circle.
Also, angle should be inscribed in a semicircles that are 90 degrees,
learn more about an angle here: https://brainly.com/question/5366669
A group of 31 friends gets together to play a sport. First, people must be divided into teams. Each team has to have exactly 3 players, and no one can be on more than one team. How many teams can they make?
Answer:
10, 1 remaining
Step-by-step explanation:
Each team can have 10 people but there will be a remaining person that will not be able to participate.
31 ÷ 3= 10.33333333
Hope this helped :)
How many grams of KMnO4 are needed to carry out this reaction on 35. 76 grams of KNO2
Approximately 25.746 grams of KMnO4 are needed to carry out the reaction on 35.76 grams of KNO2.
To determine the amount of KMnO4 needed to carry out a reaction on 35.76 grams of KNO2, we need to balance the chemical equation and use stoichiometry.
The balanced equation for the reaction between KMnO4 and KNO2 is:
2 KMnO4 + 5 KNO2 + 3 H2SO4 -> K2SO4 + 2 MnSO4 + 5 NO2 + 3 H2O
From the balanced equation, we can see that the molar ratio between KMnO4 and KNO2 is 2:5.
First, calculate the molar mass of KNO2:
KNO2 = 39.1 g/mol (molar mass of K) + 14.0 g/mol (molar mass of N) + 16.0 g/mol (molar mass of O)
= 69.1 g/mol
Next, calculate the number of moles of KNO2:
moles of KNO2 = mass of KNO2 / molar mass of KNO2
= 35.76 g / 69.1 g/mol
= 0.5175 mol
Using the mole ratio from the balanced equation, we can determine the moles of KMnO4 needed:
moles of KMnO4 = (moles of KNO2) x (2 mol KMnO4 / 5 mol KNO2)
= 0.5175 mol x (2/5)
= 0.207 mol
Finally, calculate the mass of KMnO4:
mass of KMnO4 = moles of KMnO4 x molar mass of KMnO4
= 0.207 mol x (39.1 g/mol + 54.9 g/mol + 16.0 g/mol x 4)
= 25.746 g
Therefore, approximately 25.746 grams of KMnO4 are needed to carry out the reaction on 35.76 grams of KNO2.
For more such answers on stoichiometry
https://brainly.com/question/30641314
#SPJ8
Mrs. Martinez and Ms. Jones' classes are competing for best average homework completion over the course of the semester.
According to the given figure Mrs Martinez data has greater variability than Mrs Jone's data.
How do average and mean differ?The average may be calculated by dividing the total number of values by the sum of all the numbers. The arithmetic average of a group of two or more data variables is referred to as a mean. Typically, average is referred to as mean or arithmetic mean. The word "mean" is only a way of defining the sample's average.
Comparing the median and average.By adding up each value individually and dividing the result by the total number of observations, the average is obtained. The "middle" value, for which half of such observations are greater and half are less, is used to compute the median.
To know more about average visit:
https://brainly.com/question/15344468
#SPJ1
Mariam has $560 to spend at a bicycle store for some new a gear
and
biking outfits. Assume all prices listed include tax.
•
She buys a new bicycle for $275.67.
She buys 3 bicycle reflectors for $16.32 each and a pair of bike
gloves for $24.39.
She plans to spend some or all of the money she has left to buy new
biking outfits for $27.40
each.
Write and solve an inequality which can be used to determine x, the
number of outfits Mariam can purchase while staying within her
budget.
\(\boxed{275.67+3(16.32)+24.39+27.40x \leq 560}\\\\27.40x +349.02 \leq 560\\\\27.40x \leq 210.98\\\\x \leq 7.7\)
Rounding down yields \(\boxed{x \leq 7}\).
Answer:
Step-by-step explanation:
560
The perimeter of a rectangle is 28 cm and it’s length is 8cm .calculate the width
Answer:
The width is 16 cm
Step-by-step explanation:
The perimeter of a rectangle=28 cm
length=8cm
width=?
P=28
=L+W
=8+8=16
=6+6=12
=16+12
=28 cm
Therefore, the width is 6+6=16 cm
Hope it helps you!!
Answer: 12
Step-by-step explanation: the length is 8 cm so, times that by 2 because there are 2 lengths which makes it 16cm. Now you subtract 16 from the 28cm which is 12cm divide this by 2 because there are two widths this equals 6 cm
Therefore; our width is 6 cm
To check if this is right you can add all the values= 8+8+6+6= 28cm
Bo earns $8.95 per hours plus commission. Last week, he worked 34 hours and earned $38.75 in commission. How much money did Bo earn last week?
Answer:
Money earned by Bo in one week =$319.63. Explanation: Amount earned by Bo in one hour =$8.95. Amount earned by Bo in 53.5 hours
Step-by-step explanation:
Question 5 of 10
Which pair of functions are inverses of each other?
O A. f(x) = 2 + 15 and g(x) = 12x - 15
O B. f(x) = √3x and g(x) = () ³
O c. f(x) = 3 - 10 and g(x) = +10
3
D. f(x) = 11x-4 and g(x) = +4
The correct answer is D. f(x) = 11x - 4 and g(x) = (x + 4)/11
To determine which pair of functions are inverses of each other, we need to check if the composition of the functions results in the identity function, which is f(g(x)) = x and g(f(x)) = x.
Let's test each option:
Option A:
f(x) = x/2 + 15
g(x) = 12x - 15
f(g(x)) = (12x - 15)/2 + 15 = 6x - 7.5 + 15 = 6x + 7.5 ≠ x
g(f(x)) = 12(x/2 + 15) - 15 = 6x + 180 - 15 = 6x + 165 ≠ x
Option B:
f(x) = ∛3x
g(x) = (x/3)^3 = x^3/27
f(g(x)) = ∛3(x^3/27) = ∛(x^3/9) = x/∛9 ≠ x
g(f(x)) = (∛3x/3)^3 = (x/3)^3 = x^3/27 = x/27 ≠ x
Option C:
f(x) = 3/x - 10
g(x) = (x + 10)/3
f(g(x)) = 3/((x + 10)/3) - 10 = 9/(x + 10) - 10 = 9/(x + 10) - 10(x + 10)/(x + 10) = (9 - 10(x + 10))/(x + 10) ≠ x
g(f(x)) = (3/x - 10 + 10)/3 = 3/x ≠ x
Option D:
f(x) = 11x - 4
g(x) = (x + 4)/11
f(g(x)) = 11((x + 4)/11) - 4 = x + 4 - 4 = x ≠ x
g(f(x)) = ((11x - 4) + 4)/11 = 11x/11 = x
Based on the calculations, only Option D, where f(x) = 11x - 4 and g(x) = (x + 4)/11, satisfies the condition for being inverses of each other. Therefore, the correct answer is:
D. f(x) = 11x - 4 and g(x) = (x + 4)/11
for such more question on inverses
https://brainly.com/question/15066392
#SPJ8
This is a factoring trinomial equation
x^2+7x+10
I do need steps
No links
Thx
Answer:
(x+5)(x+2)
Step-by-step explanation:
x^2+7x+10
You need something that can go into 7x and 10.
2x5= 10 and 2+5=7
so, the answer would be (x+5)(x+2)
Please tell me the correct answer. If u answer correct I’ll mark u as brainiest. I really need help.
Answer:
b
Step-by-step explanation:
Please Help !! I Will GIVE BRAINLIEST What is the slope of the line !
Step-by-step explanation:
Looking closely,
when x1=0, y1= 3
Also, when x2= 3, y2= 1
The slope therefore is,
(y2-y1)/(x2-x1)
= 1-3/2-0
= -2/2
Slope = -1
Why is randomly dividing volunteers into groups a better experimental design than allowing the volunteers to choose their experimental group?
Randomly dividing volunteers into groups is a better experimental design than allowing the volunteers to choose their experimental group because it minimizes bias and increases the validity of the study.
The experimental design is the framework of any scientific experiment that outlines the different steps that will be used to conduct the research. In psychology, experiments typically involve comparing two or more groups of participants that have been assigned to different experimental conditions.Randomly dividing volunteers into groups is a better experimental design than allowing the volunteers to choose their experimental group because it minimizes bias and increases the validity of the study. If participants were allowed to choose their own group, there is a high likelihood of self-selection bias.
This is a type of bias that occurs when participants are allowed to choose their own groups. In most cases, the participants choose groups that they feel are more beneficial to them. This means that the results of the experiment may be biased towards the preferences of the participants. Random allocation of participants to different groups ensures that any differences between the groups are not due to differences in the participants' characteristics and are due to the independent variable.
To know more about dividing visit:
https://brainly.com/question/15381501
#SPJ11
What is the value of tan0 in the unit circle below? (see the attached picture)
Explanation: To solve this question first we need to know that the terminal point pair (little red point in the image) represented by the coordinates represent the (cosine, sine) as shown bellow
We also need to understand that the "tan" formula can be expressed as follows
\(tan\theta=\frac{sin\theta}{cos\theta}\)So all we need to do is to substitute and calculate.
Step 1: Let's substitute the values and calculate as follows
\(tan\theta=\frac{sin\theta}{cos\theta}=\frac{\frac{1}{2}}{\frac{\sqrt{3}}{2}}=\frac{1}{2}*\frac{2}{\sqrt{3}}=\frac{2}{2*\sqrt{3}}=\frac{1}{\sqrt{3}}\)Step 2: Now let's rationalize the result as follows
\(tan\theta=\frac{1}{\sqrt{3}}=\frac{1}{\sqrt{3}}*\frac{\sqrt{3}}{\sqrt{3}}=\frac{\sqrt{3}}{3}\)Final answer: So the final answer is
\(\frac{\sqrt{3}}{3}\).
Timothy is at an elevation of –17.65 meters below sea level. He descends by 3
meters to observe a coral. What is his new elevation relative to sea level?