Triangle A B C is cut by line segment D E. Line segment D E goes from side A C to line A B. The length of A E is 12, the length of E B is 4, and the length of A D is 9. What is the length of Line segment D C? 2 units 3 units 6 units
Answers
Answer: The length of DC is 3 units
Step-by-step explanation:
The Basic proportionality theorem states that if a line is parallel to one side of a triangle and intersects the other two at different points, then the other two sides are divided in the same ratio.
The given image is attached below.
From the BPT theorem, we can say that:
[tex]\Rightarrow \frac{AE}{EB}=\frac{AD}{DC}[/tex]
We are given:
AE = 12 units
EB = 4 units
AD = 9 units
Putting values in above equation, we get:
[tex]\Rightarrow \frac{12}{4}=\frac{9}{DC}\\\\\Rightarrow DC=\frac{9\times 4}{12}\\\\\Rightarrow DC=3 units[/tex]
Hence, the length of DC is 3 units
Answer:
The answer is 3 units
Step-by-step explanation:
Related Questions
Please solve this equation
Answers
Answer:
fggggg hasdnkuw
Step-by-step explanation:
Expand and simplify (n-2)(3n+7) + 2n(2n+3)
Answers
Hope that helps and best of wishes!
The data set below provides the monthly rent (in dollars) paid by 5 tenants. 879 , 920 , 940 , 950 , 990 Suppose the rent for one of the tenants changes from $ 940 to $ 1115 . What is the mean before the rent changes? What is the mean after the rent changes?
Answers
Answer:
Mean before the rent changes = $935.8
Mean after the rent changes = $970.8
Step-by-step explanation:
Mean = sum of all data values / number of data values in a given data set
✔️Data set consisting of the rents of 5 tenants: 879 , 920 , 940 , 950 , 990
Mean before the rent changes = (879 + 920 + 940 + 950 + 990)/5 = 4,679/5 = 935.8
Mean before the rent changes = $935.8
✔️If one of the tenants rent changes from $940 to $1,115, the new data set would be:
879 , 920 , 1,115 , 950 , 990
Mean after the rent changes = (879 + 920 + 1,115 + 950 + 990)/5 = 4,854/5 = 970.8
Mean after the rent changes = $970.8
Can someone help me with this question please.
Answers
Answer:
The rule is to divide the weight of the bag by 4 to find the number of marbles.
Step-by-step explanation:
The rule is to divide the weight of the bag by 4 to find the number of marbles.
Which of the following best represents the relationship between functions f and g?
g(x) = -f(x) - 1
g(x) = f(x - 1)
g(x) = -f(x) + 1
g(x) = -f(x)
Answers
9514 1404 393
Answer:
(c) g(x) = -f(x) +1
Step-by-step explanation:
We really only need to consider one point on f(x) and/or g(x). We can look at the y-intercepts.
f(0) = 4 and g(0) = -3
Looking at the answer choices, we see ...
A. -f(0) -1 = -4 -1 = -5 ≠ g(0)
B. f(0 -1) = f(-1) = 1 ≠ g(0)
C. -f(0) +1 = -4 +1 = -3 = g(0) . . . . . matches requirements
D. -f(0) = -4 ≠ g(0)
The relation between f(x) and g(x) is g(x) = -f(x) +1.
A particular fruit's weights are normally distributed, with a mean of 275 grams and a standard deviation of 19 grams. If you pick one fruit at random, what is the probability that it will weigh between 244 grams and 305 grams?
Answers
Answer:
0.8913 = 89.13% probability that it will weigh between 244 grams and 305 grams.
Step-by-step explanation:
Normal Probability Distribution:
Problems of normal distributions can be solved using the z-score formula.
In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.
Mean of 275 grams and a standard deviation of 19 grams
This means that [tex]\mu = 275, \sigma = 19[/tex]
What is the probability that it will weigh between 244 grams and 305 grams?
This is the p-value of Z when X = 305 subtracted by the p-value of Z when X = 244.
X = 305
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{305 - 275}{19}[/tex]
[tex]Z = 1.58[/tex]
[tex]Z = 1.58[/tex] has a p-value of 0.9429.
X = 244
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{244 - 275}{19}[/tex]
[tex]Z = -1.63[/tex]
[tex]Z = -1.63[/tex] has a p-value of 0.0516
0.9429 - 0.0516 = 0.8913
0.8913 = 89.13% probability that it will weigh between 244 grams and 305 grams.
(a)A train completed a journey of 850 kilometres with an average speed of 80 km/hr.
Calculate, giving exact answers, the time taken for this journey in
(1)
hours,
hours, minutes and seconds.
(b)Another train took 10 hours 48 minutes to complete the same 850 km journey.
0 It departed at 19 20.
At what time, on the next day, did thsi train complete the journey?
Calculate the average speed, in kilometres per hour, for the journey.
drintinn
Answers
Answer:
a. 850/85 = 10.625 hr or 10 hr 37 min 30 sec
b. 6:08 AM
C. Average time is (10.625 + 10.8)/2 = 10.7125
or 10 hour 42 min 45 sec
Researchers believe that 24.5% of the adults in the United States are obese. A Gallup poll examined the rate of obesity in America with a survey 86,664 randomly sampled U.S. adults. Of the adults surveyed, 23,053 said that they were obese. Is this enough evidence to state that more than 24.5% of all adults in the U.S. are obese
Answers
Answer:
The p-value of the test is 0 < 0.05(standard significance level), which means that this is enough evidence to state that more than 24.5% of all adults in the U.S. are obese
Step-by-step explanation:
Researchers believe that 24.5% of the adults in the United States are obese. Test if there is enough evidence to state that more than 24.5% of all adults in the U.S. are obese.
At the null hypothesis, we test if the proportion is of 24.5% or less, that is:
[tex]H_0: p \leq 0.245[/tex]
At the alternative hypothesis, we test if this proportion is greater than 24.5%, that is:
[tex]H_1: p > 0.245[/tex]
The test statistic is:
[tex]z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}[/tex]
In which X is the sample mean, [tex]\mu[/tex] is the value tested at the null hypothesis, [tex]\sigma[/tex] is the standard deviation and n is the size of the sample.
0.245 is tested at the null hypothesis:
This means that [tex]\mu = 0.245, \sigma = \sqrt{0.245*0.755}[/tex]
Survey 86,664 randomly sampled U.S. adults. Of the adults surveyed, 23,053 said that they were obese.
This means that [tex]n = 86664, X = \frac{23053}{86664} = 0.266[/tex]
Value of the test statistic:
[tex]z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}[/tex]
[tex]z = \frac{0.266 - 0.245}{\frac{\sqrt{0.245*0.755}}{\sqrt{86664}}}[/tex]
[tex]z = 14.37[/tex]
P-value of the test and decision:
The p-value of the test is the probability of finding a sample proportion of 0.266 or higher, which is 1 subtracted by the p-value of z = 14.37.
The p-value of z = 14.37 is 1.
1 - 1 = 0
The p-value of the test is 0 < 0.05(standard significance level), which means that this is enough evidence to state that more than 24.5% of all adults in the U.S. are obese
I need to know how to solve this completely not just the answers plz :)
Answers
the average score on mid term examination of 25 students was 78.8 out 100
after the mid term exam, however, a student whose score was 41 out of 100 dropped the course. what is the average (mean) score amount of the 24 students?
Answers
round off 0.38569 to the nearest hundredths.
Answers
Hi.
The closest rounding of 0,38569 is 0,39
Have a nice day !
For each of the studies described, explain whether the study was an observational study or a randomized experiment.
a. A group of 100 students was randomly divided, with 50 assigned to receive vitamin C and the remaining 50 to receive a placebo, to determine whether or not vitamin C helps to prevent colds.
b. A random sample of patients who received a hip transplant operation at Stanford University Hospital during 2000 to 2010 will be followed for 10 years after their operation to determine the success (or failure) of the transplant.
c. Volunteers with high blood pressure were randomly divided into two groups. One group was taught to practice meditation and the other group was given a low-fat diet. After 8 weeks, reduction in blood pressure was compared for the two groups.
Answers
Answer:
B
Step-by-step explanation:
B
If 5^3b-1 = 5^b-3, what is the value of b?
-2
-1
1
2
Answers
Answer:
3b-1 = b-3
2b = 4
b = 2
Step-by-step explanation:
can someone help me with this?
Answers
Answer: 22
Step-by-step explanation: 44:2=22
In the number 1326308 is between which two numbers in a million?
Answers
Answer:
1326308 is in between 1326307 and 1326309
PLS HELP ! THANK YOU
Will mark Brainliest
Answers
Answer:
I think. . . sphere? SO SORRY IF IM WRONG!!
Step-by-step explanation:
You and your family are planning a roadtrip. You determine that the distance you need to drive is 660 miles and that you can average 60 miles per hour for the entire trip. How many hours will your trip take?
Answers
Answer:
11 hours
Step-by-step explanation:
Find how many hours the trip will take by dividing the number of miles by the rate in miles per hour:
660/60
= 11
So, the trip will take 11 hours
What is the area of a sector when 0=90° and r= 8/3?
Answers
Answer:
16π/9
Step-by-step explanation:
the area of sector= ¼×π.r²
= ¼× π× (8/3)²
= ¼×64/9×π
= 16π/9
Answer:
Answer:
16π/9
Step-by-step explanation:
the area of sector= ¼×π.r²
= ¼× π× (8/3)²
= ¼×64/9×π
= 16π/9
Step-by-step explanation:
Can you help me on this?
Answers
Answer:
ez 1 + 1 = 1 is the correct answer
——————— = ——————
360. 2•3.14• 6
Central angle and arc length are the same which is 105
It is a beautiful day at the beach and ten beach volleyball players have shown up at the volleyball courts. Each two-person volleyball team should consist of a setter and a spiker. Five of the players prefer to be a spiker, four of the players prefer to be a setter, and one player is fine either way.
In how many ways can a two-person team be assembled such that no player feels out of position?
Answers
Answer:
4 i think
Step-by-step explanation:
please help meeeeeeeee
pt 3
Answers
Answer:
1st option
Step-by-step explanation:
Given the zero product
(x - 3)(x + 5) = 0 , then
x - 3 = 0 ; x + 5 = 0
NEED HELP ASAP!!!!!!
Answers
Answer:
It's a rhombus (if you can check more than one answer, it's also a parallelogram).
Step-by-step explanation:
A rhombus is a flat shape with 4 straight sides that are all equal length.
Also opposite sides are parallel and opposite angles are equal.
It is a type of parallelogram.
Answer:
It's a rhombus
Step-by-step explanation:
because all the 4 sides are equal
And it's like a square that it's top has been pushed
In a sale, Ali buys a television for $195.80.
The original price was $220.
Calculate the percentage reduction on the original price.
Answers
11%
Hope this helps! :)
______________
Answer:
[tex] \frac{195.80}{220} \times 100 \% \\ = 0.89\%[/tex]
Reflect (-3, 4) across the y-axis. Then reflect the result across the x-axis.
Answers
So, (-3,4) would now be (3,4)
Now the formula for reflecting in the x-axis: (x,-y)
So, (3,4) would now be (3,-4).
Hope this helps !
Which statement is true.?
Answers
Answer:
B
Step-by-step explanation:
Siti had $3249. After donating $1387 to charity, she had $237 less than Hazid. How much money did Hazid have?
Answers
Answer:
the answer is 2099
Step-by-step explanation:
after donating 1387 the money teft with her is 1862 adding to it 237 so the money with hair will be 2099
ANSWER ASAP IM TIMED 30 POINTS
Which shape below will form a tessellation?
A. regular heptagons
B. regular pentagons
C. regular octagons
D. regular hexagons
Answers
Answer:
Step-by-step explanation:
D ANSWER D
Answer:
d
Step-by-step explanation:
please help thx steps too
Answers
Step-by-step explanation:
IN first triangle multiplier factor is 4
and IN second triangle multiplier factor is
[tex] \frac{3}{2} [/tex]
PLEASE HELP WILL MARK BRAINLIEST
Answers
Answer:
8 feet
Step-by-step explanation:
.................... ............ . ...
Answer:
8 ft
Step-by-step explanation:
Since 2 angles are given as congruent, the opposite sides are congruent.
The opposite sides of the congruent angles are 8 ft and L, so L = 8 ft.
Which type of stored energy is released when something burns?
O A. Chemical energy
O B. Nuclear energy
O c. Sound energy
O D. Electrical energy
Answers
Answer:
CHEMICAL ENERGYStep-by-step explanation:
HOPE THIS ANSWER WAS HELPFUL
MARK AS BRAINLIST PLEASE
IF THIS ANSWER WAS HELP TO YOU
THANKYOU!!
Answer:
Chemical energy
Step-by-step explanation:
did the quiz <3