in the given figure triangle abc is similar to triangle ADB write down the corresponding sides with their relation​

In The Given Figure Triangle Abc Is Similar To Triangle ADB Write Down The Corresponding Sides With Their

Answers

Answer 1
<B=<E

[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]

Answer 2

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.
In The Given Figure Triangle Abc Is Similar To Triangle ADB Write Down The Corresponding Sides With Their

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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:

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What is the least five-digit even number with no repeated digits?

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Your answer is 10234

Solve for x. 5x = 60

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Answer:

[tex]x = \frac{60}{5} = 12[/tex]

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0.05 divided by 1/10

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Answer:

0.5

Step-by-step explanation:

0.05 divided by 1/10

0.05 : 1/10 =

0.05 * 10 =

0.5

Yolanda has 2 gallons of water in a bucket. If she throws out 2/3 of water, how much water will shr have left?

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It will be left 1/7 I think it will work

Answer:

1.33333333333

Step-by-step explanation:

2-(2/3)= 1.33333333333

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

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​

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Answer:

0

Step-by-step explanation:

Please refer to the previously asked question:

https://brainly.com/question/24265969?referrer=searchResults

Has a slope of 4 and passes through (-2, 4)

Answers

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

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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.

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Answer:

-12

-18

Step-by-step explanation:

-n+8=20

-n=20-8

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7n+8

Then just go 7(68)+8

=484

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485

Step-by-step explanation:

first term = 16

second term = 23

common difference= second -. first

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Step-by-step explanation:

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5(2)^3 + (2)^2 - 2(2)

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Step-by-step explanation:

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Solve for x. −23(3x−4)+3x=56

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B. x=−116 ​ ​

C. x=216 ​

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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

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Answer:

x=6/11

Step-by-step explanation:

Find the indicated values by using the table.

X= g(x)=2x+1

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Answer:

g(10) = 21

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g(10) = 21

g(22) = 45

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Step-by-step explanation:

g(x) = 2x + 1

Then in order to find g(10), replace x over 10

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g(10) = 21

so g(10) = 21

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Answer:

always the same

Step-by-step explanation:

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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.

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It is the period before the disease begins to develop and provides the greatest opportunity for improving health.

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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).

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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. $

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Step-by-step explanation:

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Answer:

35

Step-by-step explanation:

4.3 1/2 * 2 1/2 = 35/1 =35

If this is wrong i'm sorry

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Answer:

Three billion eight million nine-hundred seven thousand eight.

Step-by-step explanation:

Write out each of the numbers.

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Step-by-step explanation:

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Answer:

x = 50.5°

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Answer:

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Step-by-step explanation:

There are three squares, so 3.

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Because reflection is an image produced by or as if by a mirror.

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Answer:

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