in the given figure triangle abc is similar to triangle ADB write down the corresponding sides with their relation
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[tex]\\ \sf\longmapsto ∆AED=∆ABO[/tex]
[tex]\\ \sf\longmapsto \dfrac{AE}{AB}=\dfrac{AD}{AO}[/tex]
[tex]\\ \sf\longmapsto \dfrac{AD}{AE}=\dfrac{AB}{AO}[/tex]
Explanation:
Given that
In ∆ ABC, DE is a line drawn on AB and AC
In ∆ ADE and ∆ ABC
∠ AED = ∠ ABC = 70°
∠ AED = ∠ BAC (Common vertex angle )
By AA similarity criteria
∆ ADE and ∆ ABC are similar triangles
⇛ ∆ ADE ~ ∆ ABC
We Know that
If two polygons of same number of sides are said to be similar,
If the corresponding angles are equal.
If the corresponding sides are in the same ratio or in proportion.
So, The corresponding angles are mist be in proportion
⇛ AD / DB = AE/EC
Key Knowledge:-
If two polygons of same number of sides are said to be similar, If the corresponding angles are equal.If the corresponding sides are in the same ratio or in proportion.Note :-
If DE || BC then by Basic Proportionality Theorem, AD / DB = AE/ECIf a line drawn parallel to one side of a triangle intersecting other two sides at two different points and the line divides the other sides in the same ratio.
Related Questions
Please help thank you
Answers
sorry i dk
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Has a slope of 4 and passes through (-2, 4)
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Answer:
y = 4x + 12
Step-by-step explanation:
y = mx + b
m = slope = 4
substitute the point (-2, 4) as (x, y)
4 = 4(-2) + b
4 = -8 + b
12 = b
Hope this helps! Pls give brainliest!
The equation of line is y= 2x+ 8.
what is slope?A line's slope is determined by how its y coordinate changes in relation to how its x coordinate changes. y and x are the net changes in the y and x coordinates, respectively. Therefore, it is possible to write the change in y coordinate with respect to the change in x coordinate as,
m = Δy/Δx
where, m is the slope
Given:
Slope= 2
and, Passes through (-2, 4)
So, using the slope- intercept form is
y= mx+ b
4 = 2(-2)+ b
4 = -4 + b
b=8
And, the equation of line is
y= mx+ b
y= 2x + 8
Hence, the equation of line is y= 2x+ 8.
Learn more about slope here:
https://brainly.com/question/3605446
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Please help me with this question
Answers
Step-by-step explanation:
and plot the normal 1 , I am pretty sure
Find the indicated values by using the table.
X= g(x)=2x+1
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g(10) = 21
g(0) = 1
g(10) = 21
g(22) = 45
g(28) = 57
g(16) = 33
Step-by-step explanation:
g(x) = 2x + 1
Then in order to find g(10), replace x over 10
g(10) = 2(10) + 1
g(10) = 20 + 1
g(10) = 21
so g(10) = 21
keep doing this to all of the problems and it should be answered the same way.
Solve for x. 5x = 60
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Answer:
[tex]x = \frac{60}{5} = 12[/tex]
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prove cos 2 theta - cos 4 theta + cos 6 theta - cos 12 theta = 4 sin 3 theta sin 5 theta cos 4 theta
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Answer:
sorry need lng po
Step-by-step explanation:
pa brainlies
0.05 divided by 1/10
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Answer:
0.5Step-by-step explanation:
0.05 divided by 1/10
0.05 : 1/10 =
0.05 * 10 =
0.5
3,008,907,008
What is the correct written form of this number.
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Answer:
Three billion eight million nine-hundred seven thousand eight.
Step-by-step explanation:
Write out each of the numbers.
answer the question right or I report you
Answers
Answer:
3 ÷ 0.25
Step-by-step explanation:
There are three squares, so 3.
Each square is divided into four squares,
One square out of four squares is,
1 / 4 = 0.25
Therefore,
3 ÷ 0.25
Find the inverse function.
f(x) = x + 1
f-1(x) = (x + [? ])[ ]
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Answer:
the inverse function is f^-1(x) = (x-1)^3
lena sells custom printed tshirts at her shop. she can sell 120 T-shirts in a month if she charges $14 for each tshirt
Answers
Answer:
14(120)t
Step-by-step explanation:
hopes this helps
given cosec theta = 7/2 find sin theta
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Answer:
Sin0=7/25
Step-by-step explanation:
PLEASE HELP ITS MATH THANK YOUUUU
Answers
Find x. Round your answer to the nearest tenth of a degree.
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Answer:
x = 50.5°
Step-by-step explanation:
Use SOH CAH TOA... Since the adjacent and hypotenuse are given, you must use cosine.
cos(x) = 14/22
cos^-1 (14/22) = 50.5°
The mean numbers of hours of part time work per week for a sample of 521 college students is 27 if the margin error for the population mean with a 95% confidence interval is 1.2 construct a 95% confidence interval for the mean number of hours of part time work per week for all college students
Answers
Answer:
fh
Step-by-step explanation:
Dell Computers receives large shipments of microprocessors (chips) from Intel Corp. It must try to ensure that the proportion of defective chips is small and has contracted to keep the proportion of defective chips at 5% or less. Suppose that Dell tests 25 chips (with replacement) out of a shipment of thousands.
a) What is the probability of obtaining at least three defects in the sample, if the entire shipment has 5% defectives? If a sample results in at least three defects, does it appear that Intel has provided a shipment which is consistent with the contract? Briefly explain, using the calculated probability.
b) For the shipment described in part a, find the expected number of sampled chips that are defective and the standard deviation of the number of sampled chips that are defective.
c) Suppose that 20% of the entire shipment is defective. What is the probability that more than 17 chips in the sample are good (not defective)?
Answers
Using the binomial distribution, it is found that:
a) 0.1271 = 12.71% probability of obtaining at least three defects in the sample, if the entire shipment has 5% defectives. 5% defective is between 1 and 2 defects, but since this probability is more than the unlikely threshold 5%, more than 2 defects could still mean that Intel has provided a shipment which is consistent with the contract.
b) The mean is of 1.25 defective chips and the standard deviation is of 1.09 defective chips.
c) 0.8908 = 89.08% probability that more than 17 chips in the sample are good.
For each chip, there are only two possible outcomes, either it is defective, or it is not. The probability of a chip being defective is independent of any other chip, which means that the binomial distribution is used to solve this question.
Binomial probability distribution
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]
x is the number of successes. n is the number of trials. p is the probability of a success on a single trial.In this problem:
25 chips are tested, thus, [tex]n = 25[/tex].Item a:
Supposing 5% defective, we have that [tex]p = 0.05[/tex].
The probability is:
[tex]P(X \geq 3) = 1 - P(X < 3)[/tex]
In which
[tex]P(X < 3) = P(X = 0) + P(X = 1) + P(X = 2)[/tex]
Then
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
[tex]P(X = 0) = C_{25,0}.(0.05)^{0}.(0.95)^{25} = 0.2774[/tex]
[tex]P(X = 1) = C_{25,1}.(0.05)^{1}.(0.95)^{24} = 0.3650[/tex]
[tex]P(X = 2) = C_{25,2}.(0.05)^{2}.(0.95)^{23} = 0.2305[/tex]
[tex]P(X < 3) = P(X = 0) + P(X = 1) + P(X = 2) = 0.2774 + 0.3650 + 0.2305 = 0.8729[/tex]
[tex]P(X \geq 3) = 1 - P(X < 3) = 1 - 0.8729 = 0.1271[/tex]
0.1271 = 12.71% probability of obtaining at least three defects in the sample, if the entire shipment has 5% defectives. 5% defective is between 1 and 2 defects, but since this probability is more than the unlikely threshold 5%, more than 2 defects could still mean that Intel has provided a shipment which is consistent with the contract.
Item b:
The mean is:
[tex]E(X) = np = 25(0.05) = 1.25[/tex]
The standard deviation is:
[tex]\sqrt{V(X)} = \sqrt{np(1 - p)} = \sqrt{25(0.05)(0.95)} = 1.09[/tex]
The mean is of 1.25 defective chips and the standard deviation is of 1.09 defective chips.
Item c:
20% are defective, so 80% are good, which means that [tex]p = 0.8[/tex]
The probability is:
[tex]P(X > 17) = P(X = 18) + P(X = 19) + P(X = 20) + P(X = 21) + P(X = 22) + P(X = 23) + P(X = 24) + P(X = 25)[/tex]
Then
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
[tex]P(X = 18) = C_{25,18}.(0.8)^{18}.(0.2)^{7} = 0.1108[/tex]
[tex]P(X = 19) = C_{25,19}.(0.8)^{19}.(0.2)^{6} = 0.1633[/tex]
[tex]P(X = 20) = C_{25,20}.(0.8)^{20}.(0.2)^{5} = 0.1960[/tex]
[tex]P(X = 21) = C_{25,21}.(0.8)^{21}.(0.2)^{4} = 0.1867[/tex]
[tex]P(X = 22) = C_{25,22}.(0.8)^{22}.(0.2)^{3} = 0.1358[/tex]
[tex]P(X = 23) = C_{25,23}.(0.8)^{23}.(0.2)^{2} = 0.0708[/tex]
[tex]P(X = 24) = C_{25,24}.(0.8)^{24}.(0.2)^{1} = 0.0236[/tex]
[tex]P(X = 25) = C_{25,25}.(0.8)^{25}.(0.2)^{0} = 0.0038[/tex]
Then:
[tex]P(X > 17) = P(X = 18) + P(X = 19) + P(X = 20) + P(X = 21) + P(X = 22) + P(X = 23) + P(X = 24) + P(X = 25) = 0.1108 + 0.1633 + 0.1960 + 0.1867 + 0.1358 + 0.0708 + 0.0236 + 0.0038 = 0.8908[/tex]
0.8908 = 89.08% probability that more than 17 chips in the sample are good.
A similar problem is given at https://brainly.com/question/24863377
Please answer both of the question in the photo plsss
Answers
Answer:
-12
-18
Step-by-step explanation:
-n+8=20
-n=20-8
n=12
-36=n-18
-n=-18+36
n=-18
A rectangle is increased by 25% and the width is decreased by 20%, what is the change in the area of the rectangle? The change in the area of the rectangle is square feet. Reset Next
Answers
Answer:
0
Step-by-step explanation:
Please refer to the previously asked question:
https://brainly.com/question/24265969?referrer=searchResults
What is the least five-digit even number with no repeated digits?
Answers
find the value of 5x³+x²-2x, if X=2
Answers
Answer:
5(2)^3 + (2)^2 - 2(2)
5(8) + 4 - 4
=40
Step-by-step explanation:
Since X = 2, you'll put 2 in the place of x, that means anywhere you find an X, you'll replace it with an X.
Yolanda has 2 gallons of water in a bucket. If she throws out 2/3 of water, how much water will shr have left?
Answers
Answer:
1.33333333333
Step-by-step explanation:
2-(2/3)= 1.33333333333
A famous study examined the smoking habits of British doctors and whether or not the doctors developed various types of cancers. Participants responded to questionnaires about their smoking habits and health in 1951, 1957, 1966, and many more times all the way up to 2001. What type of observational study is this
Answers
Answer:
A prospective study
Step-by-step explanation:
A prospective study watches for outcomes, such as the development of a disease (in this case cancer). It also usually involves taking a group of subjects and watching them over a long period of time. The outcome of interest should be common between them (whether certain smoking habits lead to the development of cancer in British doctors).
The type of observational study is A prospective study.
We have given,
A famous study examined the smoking habits of British doctors and whether or not the doctors developed various types of cancers.
What is the development of disease?
It is the period before the disease begins to develop and provides the greatest opportunity for improving health.
A prospective study watches for outcomes, such as the development of a disease (in this case cancer).
It also involves taking a group of subjects and watching them over a long time period.
The outcome of interest should be common between them (whether certain smoking habits lead to the development of cancer in British doctors).
To learn more about the disease visit:
https://brainly.com/question/1382377
In a geometric sequence the ratio between consecutive terms is
Answers
Answer:
always the same
Step-by-step explanation:
4.3 1/2* 2 1/2
Simplify
Answers
Answer:
35
Step-by-step explanation:
4.3 1/2 * 2 1/2 = 35/1 =35
If this is wrong i'm sorry
If 60 of 200 people in a restaurant have ordered salads, then what % of customers have ordered salad?
Answers
Answer:
30%
Step-by-step explanation:
Jenelle bought a home for $260,000, paying 10% as a down payment, and financing the rest at 5.4% interest for 30 years. Round your answers to the nearest cent. How much money did Jenelle pay as a down payment? $ What was the original amount financed? $ What is her monthly payment? $ If Jenelle makes these payments every month for thirty years, determine the total amount of money she will spend on this home. Include the down payment in your answer. $
Answers
Step-by-step explanation:
260000*0*54*30
$421200
Can you please help me fractions
Answers
Answer:
Step-by-step explanation:
1/320
Fraction form 1/5 Decimal form 0.2
Step-by-step explanation:
hope this helps
Find the 68th term of the following arithmetic sequence.
16, 23, 30, 37,
Answers
Then just go 7(68)+8
=484
Answer:
485
Step-by-step explanation:
first term = 16
second term = 23
common difference= second -. first
=23-16
=7
68 term= a + 67d
=16+67×7
=16 +469
=485
I have more question then this
Answers
Answer:
A reflection over the y axis
Step-by-step explanation:
Because reflection is an image produced by or as if by a mirror.
Solve for x. −23(3x−4)+3x=56
A. x=−196
B. x=−116
C. x=216
D. x=296
Answers
Answer:
x = 6/11
Step-by-step explanation:
−23(3x−4)+3x=56
Distribute
-69x + 92 +3x = 56
Combine like terms
-66x+92 = 56
Subtract 92 from each side
-66x+92-92 = 56-92
-66x =-36
Divide each side by -66
-66x/-66 = -36/-66
x = 6/11
Answer:
x=6/11
Step-by-step explanation: