Mathematics College

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

Related Questions

Find the indicated values by using the table.

X= g(x)=2x+1

Answers

Answer:

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.

given cosec theta = 7/2 find sin theta​

Answers

Answer:

Sin0=7/25

Step-by-step explanation:

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:

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

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:

Find the inverse function.
f(x) = x + 1

f-1(x) = (x + [? ])[ ]

Answers

Answer:

the inverse function is f^-1(x) = (x-1)^3

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

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

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

Answers

Your answer is 10234

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.

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

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

#SPJ5

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:

Find the 68th term of the following arithmetic sequence.
16, 23, 30, 37,

Answers

7n+8

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

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:

Solve for x. 5x = 60

Answers

Answer:

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

..........................................

Please help me with this question

Answers

Step-by-step explanation:

and plot the normal 1 , I am pretty sure

prove cos 2 theta - cos 4 theta + cos 6 theta - cos 12 theta = 4 sin 3 theta sin 5 theta cos 4 theta​

Answers

Answer:

sorry need lng po

Step-by-step explanation:

pa brainlies

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

PLEASE HELP ITS MATH THANK YOUUUU

Answers

The answe is 16 miles

0.05 divided by 1/10

Answers

Answer:

0.5

Step-by-step explanation:

0.05 divided by 1/10

0.05 : 1/10 =

0.05 * 10 =

0.5

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

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.

Please help thank you

Answers

sorry i dk

.................................

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

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

Answer:

1.33333333333

Step-by-step explanation:

2-(2/3)= 1.33333333333

Find x. Round your answer to the nearest tenth of a degree.

Answers

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°

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

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

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

3,008,907,008
What is the correct written form of this number.

Answers

Answer:

Three billion eight million nine-hundred seven thousand eight.

Step-by-step explanation:

Write out each of the numbers.

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