in the diagram below of circle o, chord DF bisects chord BC at E. If BC = 12 and FE is 5 more than DE, then FE is
Answers
Where the above chords are given, note that FE is 9 (Option 2)
How is this so?BC = 12
DE = EB = 6
FE = DE + 5 = 6 + 5 = 9
The theory that supports the above answer is the bisector theorem.
The bisector theorem states that in a circle, if a chord is bisected by another chord, then the two segments of the first chord are congruent to the two segments of the second chord.
In this case, DE and EB are both equal to 6 because DF bisects BC at E. This means that FE is equal to 6 + 5 = 9.
Learn more about Chords;
https://brainly.com/question/13950364
#SPJ1
Related Questions
point
Paul spends S100 on supplies to make T-shirts. He sells each T-shirt he makes for S12.
Which inequality can Paul use to determine how many T-shirts, 1, he needs to sell in order to make a profit?
A 12t - 100 < 0
B 12t + 100 > 0
C 12t - 100 > 0
D 12t + 100 < 0
A
B
C
D
Answers
If t-shirts be t
The expression is
\(\\ \rm\rightarrowtail 12t>100\)
\(\\ \rm\rightarrowtail 12t-100>0\)
HELP ASAP PLSSSSS
(picture of graph is below)
Below are the data collected from two random samples of 500 American adults on the number of hours they spend doing leisure and sports activities per day (rounded to the nearest hour):
Number of hours spent doing leisure and sports activities per day 1 2 3 4 5
Sample A: Number of adults 70 90 135 140 65
Sample B: Number of adults 80 80 130 135 75
Dan concludes that adults spend a mean of 3 hours each day doing leisure and sports activities. Bret thinks the mean is 4 hours. Who is correct—Dan or Bret? Explain your answer in two or three sentences. Make sure to use facts to support your answer.
Answers
Answer:
Dan is correct
Step-by-step explanation:
Mean = the sum of all data values divided by the total number of data values
Number of adults in Sample A:
= 70 + 90 + 135 + 140 + 65 = 500
Mean of Sample A:
= [ (1 × 70) + (2 × 90) + (3 × 135) + (4 × 140) + (5 × 65) ] ÷ 500
= 1540 ÷ 500
= 3.08
Number of adults in Sample B:
= 80 + 80 + 130 + 135 + 75 = 500
Mean of Sample A:
= [ (1 × 80) + (2 × 80) + (3 × 130) + (4 × 135) + (5 × 75) ] ÷ 500
= 1545 ÷ 500
= 3.09
Mean of the two samples:
= (3.08 + 3.09) ÷ 2
= 3.085 hours
= 3 hours (nearest hour)
The mean of Sample A is 3.08 hours and the mean of Sample B is 3.09 hours, so the mean of the entire sample is 3.085 hours. If we round this to the nearest hour, then the mean is 3 hours. Therefore, Dan is correct in concluding that the adults spend a mean of 3 hours each day doing leisure and sports activities.
A magnetic levitation train travels between the city center of shanghai china and pudong international airport. the trip covers 30 kilometers i'm just 8 minutes. what is the average speed of the train in miles per hour
Answers
Average speed of the train as it covered 30 kilometers in 8 minutes is equal to 139.8 miles per hour.
As given,
Total distance= 30 kilometers
Total time taken = 8 minutes
1 kilometer = 0.62137 miles
30 kilometers = 30 × 0.62137
= 18.641 miles
8 minutes = ( 8 / 60) hour
Average speed= total distance / total time taken
= 18.641 / (8/60)
= 139.8 miles/ hour
Therefore, average speed of the train as it covered 30 kilometers in 8 minutes is equal to 139.8 miles per hour.
Learn more about average speed here
brainly.com/question/12322912
#SPJ4
HELP ME PLEASE AND HURRY PLEASE
Answers
2. Subtract 4 from 2 *bottom row* (2)
3. Divide 8 and 2 (4)
Answer: c. 4
I need this down thanks
Answers
Answer:
c
a
Step-by-step explanation:
Answer:
5. is C which is 9.
6. is B which is 37.
Step-by-step explanation:
The first on is C. 9 because to find the interquartile range you need to subtract the upper quartile range by the lower quartile range. The upper is 16 and the lower is 7 so you do 16-7 which is 9.
The last question is B. 37 because the lower quartile range is first line in the box plot which is 37.
Tammi and Orlando each decomposed 1 3/4 Tammi wrote 2/4 + 2/4 + 3/4. Orlando wrote 4/4 + 3/4. Who was correct
Answers
Given,
The fraction is
\(1\frac{3}{4}\)The fraction decomposed by Tammi is,
\(\frac{2}{4}+\frac{2}{4}+\frac{3}{4}\)The fraction decomposed by Orlando is,
\(\frac{4}{4}+\frac{3}{4}\)The fraction formed by the Tammi's decomposed form,
\(\begin{gathered} \frac{2}{4}+\frac{2}{4}+\frac{3}{4}=\frac{7}{4} \\ =1\frac{3}{4} \end{gathered}\)The fraction formed by the Orlando's decomposed form,
\(\begin{gathered} \frac{4}{4}+\frac{3}{4}=\frac{7}{4} \\ \text{ =1}\frac{3}{4} \end{gathered}\)Here, the forming fraction is 1 3/4. Hence, both are correct.
Triangle ABC is dilated with the origin as the center of the dilation. Which ordered pair could represent the image of point C (5,2) after the dilation
Answers
The ordered pair that could be the image point is (a) (2.5,1)
How to determine the ordered pair that could be the image pointFrom the question, we have the following parameters that can be used in our computation:
Point C = (5, 2)
This means that
C = (5, 2)
The point is dilated using the origin as a center of the origin
So, the image point is
C = k(5, 2)
Let k = 1/2
So, we have
C = 1/2(5, 2)
Evaluate
C' = (2.5, 1)
Hence, the ordered pair that could be the image point is (a) (2.5,1)
Read more about dilation at
https://brainly.com/question/3457976
#SPJ1
Question
Triangle ABC is dilated with the origin as the center of the dilation. Which ordered pair could represent the image of point C(5, 2) after the dilation?
A (2.5,1)
B (5,−2)
C (7.5,4.5)
D (−1,−4)
E
H
K
If m/HGE=13*, find m/FGE
F
G
Pls help meee!!!!!!!
Answers
FGE is a Right Angle So It Equals 90 And HGE is Complementary To FGE
So 90-13=77
need some help with this!
Answers
Answer:
substitution
reflexive
Step-by-step explanation:
simplify 5-2(×-3) and (m+5)(m+5)
Answers
Answer:
Step-by-step explanation:
5 - 2(x - 3) and (m+5)(m+5)
\(5 - 2(x-3)\\5 - 2x + 6\\-2x + 11\)
\((m+5)(m+5)\\m^2+5m+5m+25\\m^2+10m+25\)
Hope this helps!
A 15-pound bag of dog food at Wagging Tails Pet Store costs $9.75. What is the cost per pound for the dog food?
Answers
Answer:
$0.65 per pound
Step-by-step explanation:
9.75 divided by 15 = 0.65
Which of the following would be the correct points for A'B'C' based on the triangle ABC and translation vector shown below.
A' (3, -1) B'(7, 2) C'(8, 0)
A'(-1, -1) B'(3, 2) C'(4, 0)
A' (-3, -5) B'(-7, -8) C' (-8, -6)
A' (-1, 5) B'(3, 8) C'(4, 6)
Answers
The translation vector is a displacement that specifies the distance and direction that each point in the triangle should be moved. In this case, the translation vector is (2, 3), which means that each point should be moved 2 units to the right and 3 units up.
We can apply the translation vector to each point in the triangle by adding the x- and y-coordinates of the vector to the x- and y-coordinates of each point.
For example, to find the coordinates of A' based on the coordinates of A and the translation vector, we would do the following:
A'x = Ax + translation vector x
= -1 + 2
= 1
A'y = Ay + translation vector y
= -1 + 3
= 2
Therefore, the coordinates of A' are (1, 2).
We can use the same process to find the coordinates of B' and C':
B'x = Bx + translation vector x
= 3 + 2
= 5
B'y = By + translation vector y
= 2 + 3
= 5
Therefore, the coordinates of B' are (5, 5).
C'x = Cx + translation vector x
= 4 + 2
= 6
C'y = Cy + translation vector y
= 0 + 3
= 3
Therefore, the coordinates of C' are (6, 3).
Therefore, the correct points for A'B'C' based on the triangle ABC and the translation vector shown are:
A' (1, 2) B'(5, 5) C'(6, 3)
The other options listed do not satisfy the conditions given in the problem ♂️
what is the total weight of the bunches of bananas that weigh 1 3\4 pounds
Answers
I neeedddd heppppppp
Answers
Answer:
15 ur answer
hope it helps u
Find the distance between the two points in simplest radical form (2,7) and (8,9)
Answers
Answer:
The answer is
\(2 \sqrt{10} \: \: units\)Step-by-step explanation:
The distance between two points can be found by using the formula
\(d = \sqrt{ ({x1 - x2})^{2} + ({y1 - y2})^{2} } \\ \)where
(x1 , y1) and (x2 , y2) are the points
From the question the points are
(2,7) and (8,9)
The distance between them is
\(d = \sqrt{ ({2 - 8})^{2} + ({7 - 9})^{2} } \\ = \sqrt{( { - 6})^{2} + ({ - 2})^{2} } \\ = \sqrt{36 + 4} \\ = \sqrt{40} \)We have the final answer as
\(2 \sqrt{10} \: \: \: units\)Hope this helps you
Help please !! Thank u
Answers
Answer:
parallel = same slope (-2x)
so it's y=-2x + b
let's find b by plugging in 1 for x and 3 for y (the coordinates)
3 = -2*1 + b
3 = -2 + b
5 = b
there you have it:
y = -2x +5
brainliest would really be appropriated (possible when someone else also leaves an answer)
Dawn is selling her MP3 player for
3
4
of the original price. The original price for the MP3 player was $40. How much is she selling her MP3 player for?
Answers
$ 40
to find:the new price she's selling her MP3 player.
solution:3/4 of 40 or (3/4)*40
= $30.
so, she is selling her MP3 player for $30.
Which table represents a liner function?
Answers
Answer:2 top right
Step-by-step explanation:
can anyone please answer this question thankyou.
simplify 6√3-4√3+2
Answers
Answer:
The answer for this question is 2√3 + 2.
Step-by-step explanation:
6√3 - 4√3 + 2
= ( 6 - 4 )√3 + 2
= 2√3 + 2 ans...
Hope its helpful :-)
If so, please mark me as brain-list :-)
A=6 b=4 c=1/3 what is 9c
Answers
Answer:
9c=3
Step-by-step explanation:If c=1/3 9/3=3
3x² + 8x + 5 = 0 method of completing square.
plz help me I have lots of assignment.
Answers
Answer:
the answer is (x+1)(3x-5)
Answer:
X=-1,-\(\frac{5}{3}\)
Step-by-step explanation:
an international calling plan charges 45 cent per minute or a fraction of a minute for each call. which graph models the cost, y, in cents of making x minutes of international calls?
Answers
The correct graph would be a straight line with a slope of 45 and passing through the origin (0, 0).
We have,
The graph that models the cost, y, in cents of making x minutes of international calls would be a linear graph, as the cost is directly proportional to the number of minutes.
The equation of the linear graph would be:
y = 45x
Here, y represents the cost in cents, and x represents the number of minutes.
Therefore,
The correct graph would be a straight line with a slope of 45 and passing through the origin (0, 0).
Learn more about linear graph equations here:
https://brainly.com/question/28494690
#SPJ1
3x-2y=12
find x-intercept and y-intercept show work
Answers
Answer:
y=12-3x/-2
Step-by-step explanation:
-2y=12-3x
y =12-3x/-2
Can someone help me with this??
Answers
Answer:
y= -2x-2
Step-by-step explanation:
All parallel lines have the same slope. So, the line we create must have a slope of -2. If we multiply the x value by -2, we can find b through an equation.
-4 would be x in this case because it's a point we pass.
So, our equation would be
y= -2(-4)+b
y=8+b
Now, we know that y is 8+b. We can find b by plugging in y=6, because those are the coordinates of P.
6=8+b
b=-2
Now we know that b is -2. We put this into the equation for the parallel line and get:
y=-2x-2
903 randomly sampled registered voters from tampa, fl were asked if they thought workers who have illegally entered the us should be
Answers
For a sample of 903 voters from Tampa.
a) The percentage of Tampa, FL voters who self-identify as conservative is equals to 41%.
b) The percent of these Tampa, FL voters who identify themselves as conservatives and are in favor of the citizenship option is equals to 6.31%.
Random or probabilistic sampling is a process in which every person in the population has an equal chance of being included in the sample. The sample is the part of the population that represents the characteristics of the population within a certain margin of error. We have a sample of 903, voters from Tampa, Florida. The table above represents valuable information. From Table we have
a) Number of voters who define themselves as conservative = 372
Total number of registered voters = 903
Percentage of votes who define themselves as conservative = \( \frac{372}{903}\)
= 0.41196013289 = 41%
b)Number of voters who identify themselves as conservatives and are in favor of the citizenship option = 57
The Percent of voters who identify themselves as conservatives and are in favor of the citizenship =\(\frac{57}{903} \)
= 0.0631229235 = 6.31%.
Hence, required value is 6.31%.
For more information on percentage, visit:
https://brainly.com/question/30744872
#SPJ4
Complete question:
903 randomly sampled registered voters from Tampa, FL were asked if they thought workers who have illegally entered the US should be (i) allowed to keep their jobs and apply for US citizenship, (ii) allowed to keep their jobs as temporary guest workers but not allowed to apply for US citizenship, or (iii) lose their jobs and have to leave the country. The results of the survey by political ideology are shown below.
a) What percent of these Tampa, FL voters identify themselves as conservatives?
b) What percent of these Tampa, FL voters identify themselves as conservatives and are in favor of the citizenship option?
Explain the difference between
(-1) and
-14
Answers
Answer:
13
Step-by-step explanation:
-1--14
-1+14
13
Find the largest 3-digit positive integral solution of congruence equations (3x = 4(mod 7) 7x=2(mod13)
Answers
The largest 3-digit positive integral solution of the congruence equations (3x ≡ 4 (mod 7)) and (7x ≡ 2 (mod 13)) is 964.
To find the largest 3-digit positive integral solution, we need to solve the two congruence equations:
3x ≡ 4 (mod 7)
7x ≡ 2 (mod 13)
For the first equation, we can try different values of x and check for solutions that satisfy the congruence. By testing x = 1, 2, 3, ... we find that x = 5 is a solution, as 3(5) ≡ 15 ≡ 4 (mod 7).
Similarly, for the second equation, we can test different values of x. By trying x = 1, 2, 3, ... we find that x = 11 is a solution, as 7(11) ≡ 77 ≡ 2 (mod 13).
To find the largest 3-digit positive integral solution, we can start from 999 and work downwards. By checking each value, we find that x = 964 satisfies both equations.
Therefore, the largest 3-digit positive integral solution of the congruence equations (3x ≡ 4 (mod 7)) and (7x ≡ 2 (mod 13)) is x = 964.
Learn more about congruence equation here
https://brainly.com/question/31612963
#SPJ11
why is the null hypothesis always a statement of equality
Answers
The null hypothesis is formulated as a statement of equality to represent the assumption of no effect, no difference, or no relationship between variables in hypothesis testing.
The null hypothesis is typically formulated as a statement of equality because it represents the assumption or claim of no effect, no difference, or no relationship between variables in the context of statistical hypothesis testing.
When conducting hypothesis tests, we start with the assumption that there is no significant difference or relationship between variables, and any observed differences or relationships are merely due to random chance or sampling variability. The null hypothesis serves as a benchmark or reference point against which we compare the observed data.
Formulating the null hypothesis as a statement of equality allows for a clear and specific claim to be tested statistically. It sets the baseline or default position that is assumed to be true unless there is sufficient evidence to reject it in favor of an alternative hypothesis.
For example, in a study comparing the mean scores of two groups, the null hypothesis might state that the population means are equal (μ1 = μ2). This implies that any observed difference in sample means is due to chance, rather than a true difference in the population means.
By specifying the null hypothesis as a statement of equality, statistical tests provide a framework to assess the likelihood of observing the obtained data under the assumption of no effect or no difference, allowing us to make inference and draw conclusions about the population parameters based on the evidence from the sample.
To know more about null hypothesis, refer here:
https://brainly.com/question/29892401
#SPJ4
The temperature at 8:00 am was -10ºF. It rose 15º by noon. At 7:00 pm, the temperature dropped 25º. What was the temperature at 7:00 pm?
help rn
please
Answers
Answer:
The temperature at noon was -10ºF + 15º = 5ºF.
Then, from noon to 7:00 pm, there were 7 hours, during which the temperature dropped 25º. Therefore, the temperature at 7:00 pm was:
5ºF - 25º = -20ºF.
So, the temperature at 7:00 pm was -20ºF.
Step-by-step explanation:
Answer:
Step-by-step explanation:
The answer would be -30°F
you can buy a pair of 1.75 diopter reading glasses off the rack at the local pharmacy. what is the focal length of these glasses in centimeters ?
Answers
the focal length of these glasses is approximately 57.14 centimeters.
The focal length (f) of a lens in centimeters is given by the formula:
1/f = (n-1)(1/r1 - 1/r2)
For reading glasses, we can assume that the lens is thin and has a uniform thickness, so we can use the simplified formula:
1/f = (n-1)/r
D = 1/f (in meters)
So we can convert the diopter power (P) of the reading glasses to the focal length (f) in centimeters using the formula:
P = 1/f (in meters)
f = 1/P (in meters)
f = 100/P (in centimeters)
For 1.75 diopter reading glasses, we have:
f = 100/1.75
f = 57.14 centimeters
Therefore, the focal length of these glasses is approximately 57.14 centimeters.
To know more about focal length refer here:
https://brainly.com/question/29870264
#SPJ11