prove that AB is tangent to circle

Prove That AB Is Tangent To Circle

Answers

Answer 1

Answer:

See Explanation

Step-by-step explanation:

[tex] AB^2 +OB^2 = 4^2 +3^2 = 16 + 9 =25[/tex]

.....(1)

[tex] OA^2 = 5^2 = 25[/tex]

..... (2)

From equations (1) & (2)

[tex] AB^2 +OB^2 = OA^2[/tex]

Therefore, by converse of Pythagoras theorem, triangle ABO is right angled triangle right angle at B.

Therefore,

Radius OB is perpendicular to AB.

Hence, AB is tangent to the circle with center O at point B.


Related Questions

Plsss help me I’m trying to do this test

Answers

Answer:

(-3,2)

hope it helps.....

Please help me desperately need this please please please please I will give the brainlynest

Answers

Answer:

A 100+35m or 100+35xM (M for Months B. so you do 100+35x4= 240

Step-by-step explanation:

do 35x4 first and you get 140 and then add 100 so thats equal to 240 They you go Hope that helps

Answer:

part a. y=35x+100

part b. $140

Step-by-step explanation:

in the problem, it says 35 dollars every month making 35 the unknown

and for how much you will be spending after 4 months that would be 140 dollars

please let me know if this was wrong

hope this helps :) have a nice day !!

Answer and Explain how to do both questions

Answers

Answer:

a) Area of sector TRV = [tex] 42.4\: units^2 [/tex]

b) [tex] 0.8\: units[/tex]

Step-by-step explanation:

a)

In [tex] \odot R[/tex], TW is diameter.

Therefore,

[tex] m\widehat {TVW} = 180\degree [/tex]

[tex] \because m\widehat {TV} +m\widehat {VW} =m\widehat {TVW} [/tex]

[tex] \therefore m\widehat {TV} +120\degree =180\degree [/tex]

[tex] \therefore m\widehat {TV} =180\degree - 120\degree [/tex]

[tex] \therefore m\widehat {TV} = 60\degree [/tex]

[tex] \because m\angle TRV=m\widehat{TV} [/tex]

(Measure of central angle is equal to the measure of its corresponding arc)

[tex] \therefore m\angle TRV\:(\theta) =60\degree [/tex]

Radius (r) = RW = 9 units

Area of sector TRV

[tex] =\frac{\theta}{360\degree}\times \pi r^2 [/tex]

[tex] =\frac{60\degree}{360\degree} \times 3.14\times 9^2 [/tex]

[tex] =\frac{1}{6} \times 3.14\times 81 [/tex]

[tex] =\frac{1}{6} \times 254.34 [/tex]

[tex] =42.39\: units^2 [/tex]

Area of sector TRV[tex] =42.4\:units^2 [/tex]

b)

Length of [tex] \widehat{VW} [/tex]

[tex] =\frac{120\degree }{360\degree} \times 2\pi r [/tex]

[tex] =\frac{2}{3} \times 3.14\times 9 [/tex]

[tex] =2 \times 3.14\times 3 [/tex]

Length of [tex] \widehat{VW} [/tex] [tex] = 18.84\: units [/tex]

[tex] \overline{TW} =2*RW =2*9 = 18\: units[/tex]

[tex] \widehat{VW}- \overline{TW}= 18.84-18=0.84\: units[/tex]

[tex] \widehat{VW}- \overline{TW}= 0.8\: units[/tex]

A large bakery has many different products for sale. Suppose that 200 customers come in between 6 am and 10 am. Of the 200 customers, 140 order donuts, 100 order cinnamon rolls, and 80 order both. Suppose a customer is randomly selected. Find P(no donuts and no cinnamon rolls).

Answers

Out of 200 customers, the probability of a customer not ordering either donuts or cinnamon rolls is 0.2 or 20%.

Use the concept of probability defined as:

For the occurrence of an event, it is a ratio of the number of favorable outcomes to the number of total outcomes.

Given that,

Time frame: 6 am to 10 am

Total number of customers: 200

Number of customers who ordered donuts: 140

Number of customers who ordered cinnamon rolls: 100

Number of customers who ordered both donuts and cinnamon rolls: 80

To find the probability of a customer ordering neither donuts nor cinnamon rolls:

Subtract the probability of a customer ordering either donuts or cinnamon rolls or both from 1.

Now calculate:

Probability of ordering donuts:

140 out of 200 customers ordered donuts,

The probability of ordering donuts is,

140/200 = 0.7.

Probability of ordering cinnamon rolls:

100 out of 200 customers ordered cinnamon rolls,

The probability of ordering cinnamon rolls is,

100/200 = 0.5.

Probability of ordering both donuts and cinnamon rolls:

80 out of 200 customers ordered both,

The probability of ordering both is,

80/200 = 0.4.

Now, to find the probability of a customer ordering neither donuts nor cinnamon rolls,

Subtract the probability of ordering either or both from 1:

P(no donuts & no cinnamon rolls) = [tex]1 - P( \text{donuts}) - P(\text{cinnamon rolls}) + P(\text{donuts & cinnamon rolls})[/tex]

[tex]\text{P(no donuts & no cinnamon rolls)}= 1 - 0.7 - 0.5 + 0.4[/tex]

[tex]\text{P(no donuts & no cinnamon rolls)} = 0.2[/tex]

Hence,

The probability of a customer not ordering either donuts or cinnamon rolls is 0.2 or 20%.

Learn more about the probability visit:

https://brainly.com/question/13604758

#SPJ12

Can i please get answer ty

Answers

X>2 hope this helps rawrrr
download the app socratic it'll help with alot of yall questions and slader!

PLS HELP PLS PLS PLS

Answers

Answer:

$ 101

It is right

101 pls mark me brainliest and I like your pfp

Write an explicit formula for An, the nth term of the sequence 33, 36, 39,​

Answers

Answer:

30 + 3n

Step-by-step explanation:

33 , 36 , 39 .......

This is an arithmetic series

First term = 33

Common difference (d) = Second term -  first term

                                        = 36 - 33 = 3

Nth term = a + (n -1)* d

              =  33 + ( n-1) * 3

              = 33 + n*3 - 1*3

              = 33 + 3n - 3

              = 33 - 3 + 3n

               = 30 + 3n

1. Define "Conjugate radical binomials."

Answers

Step-by-step explanation:

For a+b, it's a−b. A conjugate is a binomial where the second term is the opposite of the second term of another binomial. In other words, if I have the expression a+b, the conjugate of my expression is a−b. If I were to add the second terms of these two expressions, I would get 0.

Khloe drove 204 miles in 4 hours. if she continued at the same rate, how long would it travel 765 miles?

Answers

Answer:15 hoursStep-by-step explanation:If 204 ÷ x = 4 the x = 51, so 765 ÷ 51 = 15

Answer:

15

Step-by-step explanation:

Find the area of the triangle below.

Answers

Answer:

21.78m² is the answer...

PLEASE HELP THIS IS DUE TODAY AND I HAVE NO IDEA WHAT THE ANSWER IS!!!!!!

Answers

Answer:

s X s - formula for area of square.

where two faces meet - Edge

Flat pattern of a 3d shape - Net

Shape with 3 or more sides - Polygon






8w + 6 - 7 - 4w? i dont understandx

Answers

Answer:

simplified expression = 4w-1

Step-by-step explanation:

Lily surveyed all the seventh graders at her school about their favorite snack. The table shows
the results.

Answers

Answer:

we would need more

Step-by-step explanation:

A above ground garden is rectangular and has a length of 15 feet and a height of 2 feet. It will hold 375 cubic feet of soil. What is the height of the above ground garden?

Answers

Answer: [tex]12.5\ ft[/tex]

Step-by-step explanation:

Given

Length L=15 feet

width b=2 feet

Volume V=375 cubic feet

Suppose h is the height

Volume is given by [tex]V=l\times b\times h[/tex]

[tex]\Rightarrow 375=15\times 2\times h\\\Rightarrow h=\frac{375}{30}=12.5\ ft[/tex]

geomerty help please!!!

Answers

Answer:

41 degrees

Step-by-step explanation:

Im pretty sure its 41 degrees since a straight line is 90 degress and u subtract 49 from that.

i hope this help

THE CORRECT ANSWER IS 131 DEGREES

6 13 multiply by 2 and then add 1

Answers

Answer:

1227 is correct ................................................

Step-by-step explanation:

Answer:

Is 6 part of the equation?

Nicki and june win some money and share it in the ratio 5:3 buck gets £26 more than june how much did june get

Answers

Answer:

£39

Step-by-step explanation:

Given data

The sharing formula is

5:3

Let June get £x

Buck gets £26 more than june

Buck = x+26

Applying the part to part ratio method

5/3= x+26/x

cross multiply

3(x+26)= 5x

3x+78= 5x

78= 5x-3x

78= 2x

x= 78/2

x= £39

Hence June get £39

please prove it for me​

Answers

Answer:

see explanation

Step-by-step explanation:

Using the trigonometric identity

tanx = [tex]\frac{1}{cotx}[/tex]

Consider the left side

[tex]\frac{cotA-1}{cotA+1}[/tex] ← divide terms on numerator/denominator by cotA

= [tex]\frac{\frac{cotA}{cotA}-\frac{1}{cotA} }{\frac{cotA}{cotA}+\frac{1}{cotA} }[/tex]

= [tex]\frac{1-tanA}{1+tanA}[/tex]

= right side , thus proven

In the graph y = x

When x = 0

y =
PLEASE ANSWER AND DONT JUST TSKE MY POINTS, ASAP

Answers

Answer:

x and y connect in the orgin therfore

the value of y and x is equal that mean 0

Answer:

answer is 0.

y = x

when x = 0

y = 0.

Help ASAP i dont remember how to do any of this and need help

Answers

Step-by-step explanation:

Hope I was able to help. Good luck!

Answer for 8,9 help pls

Answers

Answer:

B. and A.

Step-by-step explanation:

Also now I want Chick-Fil-A

8, 12, 16,...
Find the 31st term.

Answers

8, 12, 16,...Find the 31st term.352

Hope I helped.  :)

- Valenteer

The answer to this question is 124
Hope this helped:)

Evaluate -(3-1)(3-2).

Answers

Answer:

-2

Step-by-step explanation:

(−(3−1))(3−2)

=−2(3−2)

=(−2)(1)

=−2

hundred and thous
d. 39)87 652
B​

Answers

Eight seven thousand and six hundred and fifty two

#10 help pleaseee.....

Answers

it’s b yeah hope that helped you

Answer:

b) 272/p

Step-by-step explanation:

1/4(px-16)=64

1. multiply 4 on both side to cancel out 1/4

(px-16)=256

2. move -16 to the otherside (making it postive)

px=16+256

px=272

3. divide by p on both sides

x=272/p

please help ASAP i will give brainliest.
Select all the points that are on the graph of the line 2x+4y=20.
A=(1,2)
B=(10,0)
C=(5,0)
D=(1,4)
E=(0,5)
F=(0,10)

Answers

Answer:

i am sure there is B and E

.

..

.

Answer:

(0,5) and (10,0)

Step-by-step explanation:

The equation of the straight line is given by 2x + 4y = 20 .......... (1)

Now, point (0,5) satisfies the equation (1) as putting x = 0, we will get y = 5.

Now, point (0,10) does not satisfy the equation (1) as putiing x = 0, we get y = 5 ≠ 10

Again, point (1,2) does not satisfy the equation (1) as putiing x = 1, we get y = 4.5 ≠ 2

Now, point (1,4) does not satisfy the equation (1) as putiing x = 1, we get y = 4.5 ≠ 4

Again, point (5,0) does not satisfy the equation (1) as putiing y = 0, we get x = 10 ≠ 5

Finally, point (10,0) satisfies the equation (1) as putiing y = 0, we get x = 10 .

Therefore, only points (0,5) and (10,0) are on the graph of the line 2x + 4y = 20 (Answer)

there you go have a wonderful day!

2. What is the y-intercept of the following linear function?
f(x) = 2x + 4*
(2 Points)
O a. (0.4)
O b. (4.0)
O c. (-2,0)
O d. (0-2)

Answers

A. Y intercept X is 0. Plug in 0 for X and your function (Y) is 4

Find the perimeter of each figure by writing and solving an equation for
the variable, x.
Use the number pad to enter your answers in the boxes.

Answers

6(x-1) = 4x
6x-6 = 4x
2x = 6
x = 3
perimeter of each figure: 12

Help only one answer

Answers

Answer:

C

Step-by-step explanation:

good job you had it right

Answer:

C. 1.3

Step-by-step explanation:

1/3= 0.33

0.33+0.33+0.33+0.33= 1.3

2/5 (j +40) = - 4
j=?

Answers

Answer: j = -50

Step-by-step explanation:

2/5 (j + 40) = -4

=> 2/5j + 16 = -4

=> 2/5j = - 20

=> j = -50

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