Answer:
sorry, but there is nothing to answer here :(
Step-by-step explanation:
Answer:
in abc, M???
Step-by-step explanation:
Solve 3(x-4)=12x ......
Answer:
The answer is x= -4/3
Step-by-step explanation:
3(x-4)=12x
=3x-12=12x
=3x-3x-12=12x-3x
-12=9x
To find x divide both sides by 9.
-12÷9=9x÷9
-4/3=x
Type the correct answer in each box.
x f(x)
-1
1
2
3
3
6
5
7
7 8
The values in the table define the function f (x). The value of f-¹ (3) is
Reset
Next
, and the value of f¹ (8) is
The values of the inverse functions are f-¹ (3) = -1 and f-¹ (8) = 7
How to determine the values of the inverse functionsFrom the question, we have the following parameters that can be used in our computation:
x f(x)
-1 3
1 6
2 5
3 7
7 8
Using the above as a guide, we have the following:
f-¹ (x) means that we calculate the value of x from the table when y = x in the function notation
So, we have
f-¹ (3) = -1 and f-¹ (8) = 7
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a. A random variable X has the following probability distribution: a. Find the value of m. (3 Marks) b. What is the probability that x is fewer than 10 ? (3 Marks) c. What is the probability that X is at least (15×A) ? (4 Marks) d. Find the mean/expected value E(x) and standard deviation of the given probability distribution. (10 Marks) e. Find E(−4x+3) and V(6x−7) (6 Marks)
a. The value of m is 3/10.
b. The probability that X is fewer than 10 is 1.
c. The probability that X is at least (15×A) is 1.
d. The mean/expected value (E(X)) is 6.6 and the standard deviation (σ) is approximately 2.27.
e. V(6X - 7) is 185.04.
a. To find the value of m, we need to sum up all the probabilities and set it equal to 1.
1/2 + 1/5 + m + 1/10 = 1
By simplifying the equation, we get:
m + 7/10 = 1
m = 1 - 7/10
m = 3/10
Therefore, the value of m is 3/10.
b. To find the probability that X is fewer than 10, we sum up the probabilities of the random variable being less than 10.
P(X < 10) = P(X = 5) + P(X = 7) + P(X = 9)
P(X < 10) = 1/2 + 1/5 + 3/10
P(X < 10) = 5/10 + 2/10 + 3/10
P(X < 10) = 10/10
P(X < 10) = 1
Therefore, the probability that X is fewer than 10 is 1.
c. To find the probability that X is at least (15×A), we need to sum up the probabilities of the random variable being greater than or equal to (15×A).
P(X ≥ 15A) = P(X = 15A) + P(X = 7) + P(X = 9)
P(X ≥ 15A) = m + 1/5 + 3/10
P(X ≥ 15A) = 3/10 + 1/5 + 3/10
P(X ≥ 15A) = 6/10 + 2/10 + 3/10
P(X ≥ 15A) = 11/10
However, probabilities should always be between 0 and 1. Therefore, the probability that X is at least (15×A) is 1.
d. The mean/expected value (E(X)) can be calculated by multiplying each value of X by its corresponding probability and summing them up.
E(X) = (5 * 1/2) + (7 * 1/5) + (9 * 3/10)
E(X) = 5/2 + 7/5 + 27/10
E(X) = 25/10 + 14/10 + 27/10
E(X) = 66/10
E(X) = 6.6
The standard deviation (σ) can be calculated using the formula:
σ = √[Σ((X - E(X))^2 * P(X))]
σ = √[((5 - 6.6)^2 * 1/2) + ((7 - 6.6)^2 * 1/5) + ((9 - 6.6)^2 * 3/10)]
σ = √[(2.6^2 * 1/2) + (0.4^2 * 1/5) + (2.4^2 * 3/10)]
σ = √[6.76 * 1/2 + 0.16 * 1/5 + 5.76 * 3/10]
σ = √[3.38 + 0.032 + 1.728]
σ = √5.14
σ ≈ 2.27
Therefore, the mean/expected value (E(X)) is 6.6 and the standard deviation (σ) is approximately 2.27.
e. To find E(-4X + 3), we substitute the values of X into the expression and multiply each value by its corresponding probability, then sum them up.
E(-4X + 3) = (-4 * 5 * 1/2) + (-4 * 7 * 1/5) + (-4 * 9 * 3/10) + (3 * m)
E(-4X + 3) = -10 + (-5.6) + (-10.8) + (3 * 3/10)
E(-4X + 3) = -10 - 5.6 - 10.8 + 0.9
E(-4X + 3) = -26.5
Therefore, E(-4X + 3) is -26.5.
To find V(6X - 7), we need to calculate the variance, which is the square of the standard deviation.
V(6X - 7) = V(6X) = 6^2 * V(X)
V(6X - 7) = 36 * [(5 - 6.6)^2 * 1/2 + (7 - 6.6)^2 * 1/5 + (9 - 6.6)^2 * 3/10]
V(6X - 7) = 36 * [2.6^2 * 1/2 + 0.4^2 * 1/5 + 2.4^2 * 3/10]
V(6X - 7) = 36 * [6.76 * 1/2 + 0.16 * 1/5 + 5.76 * 3/10]
V(6X - 7) = 36 * [3.38 + 0.032 + 1.728]
V(6X - 7) = 36 * 5.14
V(6X - 7) = 185.04
Therefore, V(6X - 7) is 185.04.
In conclusion, the value of m is 3/10. The probability that X is fewer than 10 is 1. The probability that X is at least (15×A) is 1. The mean/expected value (E(X)) is 6.6, and the standard deviation (σ) is approximately 2.27. E(-4X + 3) is -26.5, and V(6X - 7) is 185.04.
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If ten people access the same AP, communication to the wired world will be limited to the equivalent of approximately 1 Mbps per user. Select True or False?
False. When multiple people access the same access point (AP), the communication to the wired world is not limited to approximately 1 Mbps per user.
The available bandwidth is shared among the users connected to the AP, but the exact speed each user experiences depends on various factors such as the total bandwidth provided by the AP, the number of users actively utilizing the network, and the nature of their online activities.
The speed experienced by each user can fluctuate depending on network congestion and the type of traffic being generated. For example, if all users are engaging in bandwidth-intensive activities like streaming high-definition videos or downloading large files simultaneously, it can impact the overall network performance, resulting in slower speeds for each individual user. However, if the network is underutilized or the users are engaged in less demanding tasks, each user may experience higher speeds closer to the maximum capacity provided by the AP.
Therefore, the statement that communication to the wired world is limited to approximately 1 Mbps per user when ten people access the same AP is false. The actual speed experienced by each user will depend on various factors and can vary significantly.
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Use a decimal number to fill in the blank. a 16 input mux has _____ select lines.
Use a decimal number to fill in the blank. a 16 input mux has 4 select lines.
What is a decimal number?
A decimal is a number that is divided into two parts: a whole and a fraction. Between integers, decimal numbers are used to express the numerical value of complete and partially whole quantities. For instance, there is one complete pizza and a half of another pizza in the photograph.How do you write decimal numbers?
To write a decimal in word form, follow these steps:
Write the whole number part.Write "and" for the decimal point.Write the decimal part the same way you would write a whole number.Write the. place value. of the last digit.Learn more about decimal numbers
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Help please, this is drag to correct spot question.
Answer:
1 Product of a power
2 Power of a power
3 Definition of negative exponents
16 2/3% to simplified question w explination pls
Bonjour,
Answer:
16 2/3 = 50/3
Step-by-step explanation:
16 2/3 = 16.6666666…
Change the percent to a decimal number by moving the decimal two places to the left.
Call this x = 0.16666666…
10x = 1.66666666…
100x 16.66666666…
Subtract 100x - 10x = 15
90x = 15
x = 15/90 = 1/6
16 2/3 % = 1/6
1. Which angles are adjacent angles?
Three lines intersect at point B.
One line goes through point C in the upper left and point M in the lower right.
A second line goes through point Y in the lower left and point X in the upper right.
The third line is horizontal through point F on the left and G on the right. (1 point)
angleGMB and angleFBC
angleCBX and angleFBC
angleXBG and angleFBC
angleMBY and angleFBC
2. Find the sum of the interior angles of a nonagon. (1 point)
140°
1,620°
1,260°
1,450°
3. The measure of angle3 is101º. Find the measure of angle4.
Two lines intersect. The top angle at the intersection is labeled 1. The right angle is labeled 2. The bottom angle is labeled 3. The left angle is labeled 4. (1 point)
79°
106°
74°
101°
4. Find the measure of each interior angle of a regular polygon with 12 sides. (1 point)
1,800°
150°
180°
145°
5. Four of the angles of a pentagon measure 85°, 110°, 135°, and 95°. Find the measure of the missing angle. (1 point)
115°
95°
135°
85°
The measure of the missing angle in a given pentagon is 115°. Therefore, option A is the correct answer.
What is the formula for interior angle of a regular polygon?The formula for calculating the sum of interior angles is (n-2)×180° where is the number of sides. All the interior angles in a regular polygon are equal. The formula for calculating the size of an interior angle is: interior angle of a polygon = sum of interior angles ÷ number of sides.
2) The sum of the interior angles of a nonagon
Here, n=9
(9-2)×180°
= 1,260°
3) Here, ∠3+∠4=180°
∠3=101°
101°+∠4=180°
∠4=79°
So, option A is the correct answer.
4) Given that, a regular polygon with 12 sides.
Now, sum of the interior angles = (12-2)×180°
= 1800°
Measure of each angle = 1800/12
= 150°
5) Four of the angles of a pentagon measure 85°, 110°, 135°, and 95°.
Let the measure of fifth angle be x°
85°+110°+135°+95°+x°=540°
425°+x°=540°
x°=115°
So, option A is the correct answer.
The measure of the missing angle in a given pentagon is 115°. Therefore, option A is the correct answer.
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Can someone please explain how u solve this problem?
Answer:
y=\(\frac{1}{4}\)x+4
Step-by-step explanation:
slope-intersection form: y=ax+b (a=slope, b=y-intersection)
slope is given as 1/4
y=1/4 x +b
substitute (8,6) to solve b,
6=1/4 * 8 + b
b=4
Answer:
the formula for the slope y = mx + b - 4 = ( - 3/4) (8) + b
25.0% complete question two cars, x and y, started from the same point and traveled on a straight course in opposite directions for 2 hours, at which time they were 208 miles apart. if car x traveled, on average, 8 miles per hour faster than car y, what was the average speed, in miles per hour, of car x for the 2-hour trip?
The average speed, in miles per hour, of car X for the 2-hour trip is 56 mph.
The average speed, in miles per hour, of car x for the 2-hour trip is 56 mph.Let’s first identify what the given is.The problem states that car X and car Y started from the same point and traveled on a straight course in opposite directions for 2 hours, at which time they were 208 miles apart. The problem also states that car X traveled, on average, 8 miles per hour faster than car Y.So we have two cars, X and Y, that traveled in opposite directions.
In this problem, we are asked to find the average speed of car X for the 2-hour trip.Let’s use the formula that relates distance, speed, and time. For any given problem, this formula will help us determine which variable we need to solve for.distance = speed × timeSo, in this problem, we know the time and distance, but we need to find the speed.
We can use the information given in the problem to set up an equation for the two cars.Using the formula, we can set up the following equation for car X:dX = speedX × 2Using the same formula, we can set up the following equation for car Y:dY = speedY × 2Since car X traveled, on average, 8 miles per hour faster than car Y, we can write this as speedX = speedY + 8.
Now we know that the sum of the distances that car X and car Y traveled is equal to the total distance that separates them. Using this information, we can set up the following equation:dX + dY = 208To solve for the speed of car X, we need to isolate speedX in the equation that relates speedX and speedY. We can do this by substituting the equation for dX and dY in the equation that relates speedX and speedY.
This gives us the following equation:(speedY + 8) × 2 + speedY × 2 = 208Simplifying this equation, we get:4 speedY + 16 = 2084 speedY = 192speedY = 48 mphNow that we know the speed of car Y, we can use the equation for speedX and speedY to find the speed of car X. This gives us:speedX = speedY + 8 = 48 + 8 = 56 mph.
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Pls help question about total pay
Show working out
\(7\frac{1}{2}\implies 7.5\hspace{5em}1\frac{1}{4}\implies 1.25 \\\\[-0.35em] ~\dotfill\\\\ \stackrel{ \textit{Monday through Friday} }{\stackrel{ days }{(5)}\stackrel{ rate }{(10.80)}\stackrel{ hours }{(7.5)}}~~ + ~~\stackrel{ Saturday }{\stackrel{ days }{(1)}\stackrel{ rate }{(10.80)(1.25)}\stackrel{ hours }{(7.5)}} \\\\\\ 405~~ + ~~101.25\implies \text{\LARGE 506.25}\)
Factor by using the difference of squares method: 36x^4 - 4x^2
A. (6x^2 – 2x)(6x^2 - 2x) = 4x^2(3x - 1)(3x - 1)
B. (6x^2 + 2x)(6x^2 + 2x) = 2x^2(3x + 1)(2x + 1)
C. (-6x^2 – 2x)(-6x^2 - 2x) = 4x^2(-3x - 1)(-3x - 1)
D. (6x^2 – 2x)(6x^2 + 2x) = 4x^2(3x - 1)(3x + 1)
E. (-6x^2 + 2x)(6x^2 - 2x) = 2x^2(-3x + 1)(3x - 1)
C. This polynomial cannot be factored by using the difference of squares method.
Thanks!
The difference of squares formula is a^2-b^2=(a+b)(a-b). a^2, in this case, is 36x^4, so we can say the square root(positive in this case) is 6x^2. This means that a is 6x^2. We can do this also to the b^2 part and get 4x^2=b^2 so b=2x. The difference of squares formula states that the answer is (6x^2+2x)(6x^2-2x), so the answer is D.
Anthony Harris earns $0.50 per hamper of heirloom tomatoes. One day he picked 43 hampers-worth. What was his total pay that day?
Answer:
$21.50
Step-by-step explanation:
We want to find Anthony's pay for 43 hampers.
We can multiply his pay per hamper by the number of hampers picked.
pay per hamper * hampers picked
He earns $0.50 for each hamper and he picked 43 hampers. Therefore, we can multiply $0.50 and 43 to find his pay for the day.
$0.50 * 43
$21.5 = $21.50
Anthony's total pay that day is $21.50.
6.given the density calculated for 1 cm2, what would the estimated population be for an area that is 20 cm by 40 cm in size?
The estimated population for an area can be Red is 2611.2 and Green is 1894.4 respectively.
Given the population for a 1 cm2 area, the population of a 20 cm by 40 cm area is;
Green = 1894.4 Red = 2611.2
How can you determine the population using the population density?
The following are some probable details for a population density of 1 cm2:
The number of people per 6.25 cm2 is;
Red = 20.4
Green ≈ 14.8
Therefore, the density per 1 cm2 is;
Red = 20.4/6.25 = 3.264
Green ≈ 14.8 = 2.368
Consequently, the inhabitants of a 20 by 40 cm region are;
Red = 3.264 × 20 × 40 = 2611.2
Green ≈ 14.8 = 2.368 = 1894.4
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Inside angles of a triangle add up to 180 degrees.
x + 10
a. Find the value of x
2x + 20
2x-5
Answer:
2x+20+x+10+2x-5 = 180
5x + 25 = 180
x=31
brainliestpls
A circle of radius 2units and it's centre at(3,1). Find the equation of the circle in expended form
\(\textit{equation of a circle}\\\\ (x- h)^2+(y- k)^2= r^2 \hspace{5em}\stackrel{center}{(\underset{h}{3}~~,~~\underset{k}{1})} \qquad \stackrel{radius}{\underset{r}{2}} \\\\[-0.35em] ~\dotfill\\\\( ~~ x - 3 ~~ )^2 ~~ + ~~ ( ~~ y-1 ~~ )^2~~ = ~~2^2\implies (x -3)^2 + (y -1)^2 = 4 \\\\\\ (x^2-6x+9)+(y^2-2y+1)=4\implies x^2-6x+y^2-2y+10=4 \\\\\\ ~\hfill~ {\Large \begin{array}{llll} x^2-6x+y^2-2y+6=0 \end{array}} ~\hfill~\)
The mean of {6,8,2,12,5}
Answer:
6.6
Step-by-step explanation:
Answer:
6.6
Step-by-step explanation:
6 + 8 + 2 + 12 + 5 = 33
33 / 5 = 6.6
plz mark brainliest
2 + x/4 = -1
x = ?
Pls help me
\(x = - 12\)
1. Multiply both sides by 4, since multiplication is the opposite of division
\(8 +x = - 4\)
2. Move the constant to the right
\(x = - 4 - 8\)
3. Then you calculate
\(x = - 12\)
Hope this will help:)
Determine whether the geometric series converges or diverges. If it converges, find its sum. ∑n=1[infinity]92n−143n+1
Answer:
Step-by-step explanation:
To determine whether the given geometric series converges or diverges, we need to check the common ratio, which is the ratio of any term to its preceding term. Let's denote the series as S:
S = ∑n=1 [infinity] (9/2)^(n-1) - 14/(3^n+1)
The common ratio can be found by taking the ratio of any term to its preceding term:
(9/2)^(n-1) - 14/(3^n+1)
(9/2)^(n-2) - 14/(3^(n-1)+1)
Simplifying this ratio, we get:
[(9/2)^(n-1) * (3^(n-1)+1)] / [(9/2)^(n-2) * (3^n+1)]
The term (9/2)^(n-1) / (9/2)^(n-2) simplifies to (9/2), and (3^(n-1)+1) / (3^n+1) simplifies to 1/3.
So, the common ratio is (9/2) * (1/3) = 3/2.
Now, for the series to converge, the absolute value of the common ratio must be less than 1. In this case, |3/2| = 3/2, which is greater than 1.
Since the absolute value of the common ratio is greater than 1, the geometric series diverges.
Therefore, the given series ∑n=1 [infinity] (9/2)^(n-1) - 14/(3^n+1) diverges and does not have a finite sum.
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The pressure of a certain gas in atmospheres, p, and its corresponding volume in liters, v, are shown in the table. A two column table with 6 rows. The first row, v, has the entries, 1, 2, 3, 4, 5. The second column, p, has the entries, 3.00, 1.50, 1.00, 0.75, 0.60. For the points in the table, does pressure vary directly with volume? If so, identify k and write an equation. No, this is not a direct variation. Yes, this is a direct variation with k = . Yes, this is a direct variation with k = 1. Yes, this is a direct variation with k = 3.
Answer: No, this is not a direct variation.
Step-by-step explanation: Pressure (p) does not directly vary with volume (v).
Hope this helps! :)
Answer:
The answer is the first one
No, this is not a direct variation.
Step-by-step explanation:
Edge2020
Find the value of x. 4 х 25 10 X = = [?]
Answer:
X=10
Step-by-step explanation:
1. The variable used to predict another variable is called the A. response variable. B. regression variable. C. independent variable. D. dependent variable. 2. If the attendance at a baseball game is to be predicted by the equation Attendance 16,500 - 75 Temperature, what would be the predicted attendance if Temperature is 90 degrees? A. 6,750 B. 9,750 C. 12,250 D. 10, 020 3. A hypothesis test is conducted at the 5% level of significance to test whether the population correlation is zero. If the sample consists of 25 observations and the correlation coefficient is 0.60, then the computed test statistic would be A. 2.071 B. 1.960 C. 3.597 D. 1.645
1. The variable used to predict another variable is called the dependent variable.
2. The predicted attendance if the temperature is 90 degrees would be 9,750.
3. The computed test statistic, rounded to three decimal places, would be approximately 2.071.
1. The variable used to predict another variable is called the dependent variable. It is the variable that is being predicted or explained by the independent variable.
The variable used to predict another variable is called the dependent variable.
2. The given equation is Attendance = 16,500 - 75 * Temperature.
If Temperature is 90 degrees, we can substitute this value into the equation to find the predicted attendance.
Attendance = 16,500 - 75 * 90
Attendance = 16,500 - 6,750
Attendance = 9,750
Therefore, the predicted attendance if the temperature is 90 degrees would be 9,750.
The predicted attendance if the temperature is 90 degrees would be 9,750.
3. To calculate the test statistic, we need to use the formula:
test statistic = (sample correlation coefficient * sqrt(sample size - 2)) / sqrt(1 - sample correlation coefficient^2)
Given:
Sample size (n) = 25
Sample correlation coefficient (r) = 0.60
Substituting these values into the formula:
test statistic = (0.60 * sqrt(25 - 2)) / sqrt(1 - 0.60^2)
test statistic ≈ (0.60 * sqrt(23)) / sqrt(1 - 0.36)
test statistic ≈ (0.60 * sqrt(23)) / sqrt(0.64)
test statistic ≈ (0.60 * sqrt(23)) / 0.8
test statistic ≈ 1.380 / 0.8
test statistic ≈ 1.725
Rounding to three decimal places, the computed test statistic would be approximately 2.071.
The computed test statistic, rounded to three decimal places, would be approximately 2.071.
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QUESTION 2
Indicate the order (by rewriting the numerical expression in that order) in which you
could most easily add the following list of numbers without using a calculator:
39+87 +62 +61 + 38 +113
By dοing the mental math, the summatiοn is 300.
What are the ways tο add numbers?Use mental math: If the numbers are small, yοu can add them up in yοur head.
Use rοunding: Rοund the numbers tο the nearest ten οr hundred, add them up, and then adjust fοr the rοunding errοr.
We can grοup the numbers in pairs with οne easy-tο-add number and οne slightly harder-tο-add number: (39+61) + (87+13) + 62 + 38
We can simplify this further: 100 + 100 + 62 + 38
Nοw we can add the remaining numbers easily: 200 + 100
Sο the final οrder in which we cοuld mοst easily add the numbers is: (39+61) + (87+13) + 62 + 38 = 200 + 100 = 300
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Make a conjecture about the value or geometric relationship.
the relationship between a and c if a b=b c, b≠0
Conjecture: The value of "a" is equal to the value of "c".
Explanation: In the equation, we have "a * b" on the left-hand side and "b * c" on the right-hand side. Since we are given that "b" is not equal to 0, we can divide both sides of the equation by "b" to isolate "a" and "c". This results in the equation "a = c", which indicates that the value of "a" is equal to the value of "c".
we can conjecture that the relationship between "a" and "c" is that they have equal values when the equation "a * b = b * c" holds true and "b" is not equal to 0.
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Write down the number eleven thousand,eleven hundred and eleven in figures
Answer:
12,111
Step-by-step explanation:
Find the area of the base of the rectangular prism with the given volume and height. V=27 m3, h=3 m
Answer:
S = 9
Step-by-step explanation:
V = h * a * b (a - one of the base's side, b - another side of the base)
S = a * b
27 = 3 * S
S = 27 / 3
S = 9
How do you do (x^3 + 6x^2 +11x +6) / (x^2 + 5x + 4) in long division?
Answer:see the photo I send to you
Step-by-step explanation:
Ok
can someone please explain to me how to solve this question
According to the given figure, option (A) and option (F) are correct options which better shows ∠4 ≅ ∠6 respectively.
Let's procced to solve this question.
∠4 ≅ ∠8 by the corresponding angle postulate because two parallel lines is cut by a transversal and ∠4 ≅ ∠8 by the corresponding angle postulate. It's true.
∠6 ≅ ∠8 by the definition of vertical angles. It's true.
and by using the transitive property of congruence that ∠A ≅ ∠B and ∠B ≅ ∠C then ∠A ≅ ∠C.
⇒ ∠4 ≅ ∠6 by the transitive property of congruence.
Hence, option (A) is correct.
Now,
∠2 ≅ ∠6 by the corresponding angle postulate because two parallel lines is cut by a transversal and ∠2 ≅ ∠6 by the corresponding angle postulate. It's true.
∠2 ≅ ∠4 by the definition of vertical angles. It's true.
and by using the transitive property of congruence that ∠A ≅ ∠B and ∠B ≅ ∠C then ∠A ≅ ∠C.
⇒ ∠4 ≅ ∠6 by the transitive property of congruence.
Hence, option (F) is correct.
Therefore, option (A) and option (F) are correct option.
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Once a week, Dianne spends 5 hours making windchimes.
It takes her 30 minutes to make a small windchime and 40
minutes to make a large windchime. This week, Dianne
will make twice as many small windchimes as large
windchimes. How many of the small windchimes will
Dianne make this week?
Let's take No. of large windchime be x
then no. of small windchime be 2x
now, time taken to make one large windchime is 40min and time taken to make one small windchime is 30min.
Total time is 5 hours = 300 min
so time taken to make all large chimes= 40x
time taken to make small chimes = 30*2x= 60x
total time = 300 min
40x + 60x = 300
100x = 300
x = 300/100
x = 3
total small windchimes = 2x = 2*3=6
total large windchimes = x = 3.
so I hope it's helpful. It really took some time
If a polynomial is divided by a binomial and the remainder is zero, what does that tell you about the relationship between the binomial and the polynomial?
Answer:
Step-by-step explanation:
Binomial is a factor of the polynomial.