Determine if line AB is tangent to the circle.

Determine If Line AB Is Tangent To The Circle.

Answers

Answer 1

Answer:

Is a tangent

Step-by-step explanation:

* Great question by the way *

~ By definition, a tangent to circle is a straight line, presently perpendicular to a radius if one. In this case tangent AB should be perpendicular to the radius. If we were to call the center O, we would say AB should be perpendicular to OA. ~

1. Now let us say at the moment that AB is a tangent. If that is so, it should be that m∠A = 90 degrees ( ° ), provided AB is ⊥ to OA by definition.

2. Now the triangle ABO is a right triangle, and with that is should be that Pythagorean Theorem is applied. This can help us prove if AB is a tangent or not. If Pythagorean Theorem is not applicable it would mean ABO is not a right angle triangle, that AB is not ⊥ to OA, and thus can't be a tangent.

3. Let us say x ⇒ side OA, and that side BO = 9 + 8 + 17:

AB^2 + OA^2  =  BO^2,

15^2 + x^2 = 17^2,

x = 8

4. Now there are two radii present, OA is only one of them. As radii are ≅, OA = other radii, 8 = 8

5. This proves that Pythagorean Theorem is applicable, that ABO is a right triangle, that m∠A = 90°, and that by definition AB is a tangent


Related Questions

The table shows the height in feet, y, of a pebble dropped from a tall bridge after x seconds.




Which descriptions are true of the function shown in the table? Check all that apply.


quadratic

linear

rational

y = –16x + 150

y = –16x2 + 150

y = + 150

nvm . jus got it wrong and it's A and E

Answers

Answer:

The answer is A & E

Step-by-step explanation:

quadratic

y=-16x^2 + 150

Answer: A and E

Step-by-step explanation:

edge 2023

The principal uses a computer to randomly select the name of a student from all the students in

the school. With the computer program, it is possible to draw the name of the same student

twice. If the principal selects the name of a student from the Voyagers on the first try, what is

the probability she will draw the name of another student from the Voyagers on the second try?

answer choices

81/399

41/200

1/82

21/100

Answers

Complete Question

Stillwater Junior High divides students into teams taught by a group of teachers. The table shows the number of students in each team.

Team{Number of Students}

Acers{78}

Blazers{80}

Outbacks{83}

Quasars{77}

Voyagers{82}

Total-400

Answer:

(A)81/399

Step-by-step explanation:

The probability that the Principal selects a voyager on the first try is:

82/400

Since another student is to be selected, the total population has reduced by 1 and the number of voyagers likewise has been reduced by 1.

Therefore:

Probability that another voyager is selected on the second try =

81/399

The correct option is A.

Answer:

41/200 B

Step-by-step explanation:

The student never gets taken away from the count so.

first pull probability is.. 82/400 second is... 82/400 simplify by dividing by 2. Equals 41/200

Shantanu bought more apples than bananas, and he bought more bananas than cantaloupes. Let a represent the number of apples Shantanu bought, let b represent the number of bananas, and let c represent the number of cantaloupes. Let's compare the expressions b+c and a. Which statement is correct?

Answers

Answer:

There is not enough information to tell

Step-by-step explanation:

We are given that:

a>b

b>c

Therefore:

a>c

However, we are not given enough information to draw a relationship between b+c and a.

In order to better understand this situation, try applying values. Let a=4, b=2, and c=1.

In this case, a > b+c. However if a = 9, b=8 and c=7, then a < b+c.

In both stipulated cases, the given conditions are met, but no conclusion can be reached regarding the relationship between b+c and a.

PLZ HELP MEH!! it would mean a lot! :) thx
Which of the following equations are equivalent to -2m - 5m - 8 = 3 + (-7) + m?

-15m = -4m
-7m - 8 = m - 4
-3m - 8 = 4 - m
m - 4 = -7m - 8
-8 - 7m = -4 + m
-8 - 3m = 4 - m

Answers

Step-by-step explanation:

-2m - 5m - 8 = 3 - 7 + m

Solving like terms

-7m - 8 = - 4 + m

Rearranging

-7m - 8 = m - 4

18 = -4x -9 + 3 resolver

Answers

Answer:

The answer is X=-4 hope this helps.

Answer:

Hope it helps! Mark as brainlist.

What is the best next step in the constructed of a line that passes through point C and is parallel to AB? (Assume that the arc drawn with the compass placed at point A was the result of the last step performed.)

Answers

Answer:

B

Step-by-step explanation:

using the same compass setting, place the point of the compass at C and draw an arc that intersects ĀB

B. using the same compass setting, place the point of the compass at C and draw an arc that intersects ĀB

Parallel lines are lines in a plane that are always the same distance apart. Parallel lines never intersect.

So, the next step should be using the same compass setting, place the point of the compass at C and draw an arc that intersects ĀB.

Therefore the correct option is C.

Learn more:https://brainly.com/question/9018125

What is the length of side AB

Answers

Answer:

5 units

Step-by-step explanation:

Using the distance formula:

[tex]AB=\sqrt{(-3-(-8))^2+(-6-(-6))^2}=\sqrt{5^2}=5[/tex]

Hope this helps!

ZA=
Round your answer to the nearest hundredth.
B
9
?
С
3
A

Answers

Answer:

∠A ≈ 71.57

Step-by-step explanation:

You use inverse tangent since it gives you the opposite and adjacent sides: [tex]tan^-1[/tex]

[tex]tan^-1(9/3)[/tex]

≈ 71.565

Round to nearest hundredth:

≈ 71.57

Doroteo determined that the correlation coefficient for a set of data was -.9 what percent of the total variation in the Y values is not explained by the regression line

Answers

Answer: 10%

Step-by-step explanation:

(1 - 0.9) × 100 = 10%

With a correlation Coefficient of -0.9. This signifies a strong negative correlation between the x and y variables. That is an increase in the x variable leads to a corresponding decrease in the y variable and vice versa. The correlation Coefficient could also be interpreted to mean that about 90% of the variation in the y variable is explained by the regression line or equation. With the the remaining 10% being unexplained. This is why a correlation Coefficient of 1 or - 1 refers to a perfect relationship, meaning 100% variation in y is explained by the regression line.

Please help me with this question is hard and i will give you a Brainiest

Answers

Answer:

0

Step-by-step explanation:

10(x-2)=-20

10x-20=-20

10x=0

x=0

Solve the following equation 3x-1=2x -2/3​

Answers

Answer:

1/3

Step-by-step explanation:

3x-1 = 2x -2/3

Collect like terms.

3x -2x = 1 - 2/3

x=1/3

Quadrilateral EFGH is inscribed in a circle. If m∠F = 114° and m∠G = 78° then which of the following is the measure of ∠H?

Answers

Answer:

m∠H=66°

Step-by-step explanation:

Since Quadrilateral EFGH is inscribed in a circle, it is a Cyclic quadrilateral.

Theorem: Opposite Angles of a Cyclic Quadrilateral are Supplementary.

Angles F and H are opposite angles of a cyclic quadrilateral and by the theorem above:

m∠F+m∠H=180 degrees

114° +m∠H=180°

m∠H=180° -  114°

m∠H=66°

How many solutions does the equation 8x-4=10 have ? PLEASE HELP QUICK

Answers

Answer:

one solution

Step-by-step explanation:

8x-4=10

Add 4 to each side

8x - 4+4 = 10+4

8x = 12

Divide by 8

8x/8 = 12/8x

x = 3/2

Answer:

one solution

Step-by-step explanation:

[tex]8x - 4 = 10 \\ 8x = 10 + 4 \\ 8x = 14 \\ \frac{8x}{8} = \frac{14}{8} \\ x = \frac{7}{4} [/tex]

hope this helps

brainliest appreciated

good luck! have a nice day!

Can somebody help me on this one?

Answers

Answer:

I pretty sure the answer is Nervous

nervous, because it sends signals to your brain and it’s basically the main thing that makes you move.

for example, when the oven is hot you can feel the heat and notice how you don’t touch it, that’s because your brain knows that if you touch the oven you’re going to burn yourself and your brain stops you from touching the surface of the oven.

Which Postulate/Theorem below would prove that the triangles shown below are congruent?
a. SSS
b. SAS
c. AAS
d. ASA

Answers

Answer:

Correct answer is D. ASA

Step-by-step explanation:

Let us first define ASA congruence rule:

2 triangles are called congruent according to ASA congruence rule if 2 angles of the triangle and the corresponding side between these two angles are equal to each other.

In the question figure, we can figure out following conclusions from Triangles [tex]\triangle SRT\text{ and }\triangle WXY[/tex] respectively:

[tex]\angle TRS = \angle YXW[/tex]Side RS = Side WX[tex]\angle TSR = \angle YWX[/tex]  

As per the definition of option d) ASA congruence, the triangles are congruent.

Answer:

D. ASA

Step-by-step explanation:

A quadrilateral is circumscribed around a circle. The sum of the lengths of two of its opposite sides is 15 cm. Find the perimeter of the quadrilateral.

Answers

Answer:

The perimeter of the quadrilateral is 30 cm.

Step-by-step explanation:

To circumscribe implies drawing a required figure around a given figure, while to inscribe means drawing a required figure inside a given figure. From the question, the quadrilateral is circumscribed around the circle.

And given that the sum of the lengths of its two opposite sides is 15 cm.

The perimeter of a figure is the sum of the length of the sides of the figure.  For this quadrilateral, the sum of opposite sides are equal.Thus;

Perimeter of the quadrilateral = 2(l+b)

                                                 = (l + b) + (l + b)

                                                 = 15 + 15

                                                 = 30

The perimeter of the quadrilateral is 30 cm.

Correct answer only please!

Elizabeth deposited $4,530 in a savings account earning 11% interest, compounded annually.

To the nearest cent, how much will she have in 5 years?

Use the formula B = p(1 + r)t, where B is the balance (final amount), p is the principal (starting amount), r is the interest rate expressed as a decimal, and t is the time in years.

Answers

Answer: Elizabeth earned $7270.91.

Step-by-step explanation:

The formula given to us is the formula for compounded interest.

You can substitute the values given in the first part of the problem into the equation to find B, the final amount:

[tex]B = p*(1+r)^t\\\\B = 4530 * (1 + 0.11)^5[/tex]

Note that 11% interest is expressed as 0.11 because it is a percentage of a whole number.

Now, use a calculator to raise 1.11 to the fifth degree to get this:

[tex]B = 4530 * 1.605058\\B = 7270.912[/tex]

As such, Elizabeth earned $7270.91 in interest after 5 years.

Find the sum of the geometric series 3+12+48+...+12,288

Answers

Answer:

I think that you need to add obvoiusly.

12351 Thats what I got. But Im not sure if its correct. I hope his helps

Step-by-step explanation:

Answer:

16383

Step-by-step explanation:

12288+3072+767+192+48+12+3 =

Determine the intercepts of the line

Answers

Answer:

x-intercept (-7,0)

y-intercept (0,2)

Step-by-step explanation:

Answer:

x-intercept (-7 , 0)

y-intercept (2 , 0)

x intercept is where on the x - aces a point is sitting on on the line

--------------------------     <--- this one is x

y intercept is where on the y- aces a point is sitting on the line

║    <---- this one is y

What is 3x10^7 x 8x10^4 in standard form

Answers

Answer:

They are already in standard form.

Step-by-step explanation:

HELPZZZZ PLEZZZZZZZ
The height of a pyramid is doubled, but its length and width are cut in half. What is true about the volume of the new pyramid?

A) The new pyramid has a volume that is One-fourth the volume of the original pyramid.
B) The new pyramid has a volume that is One-half the volume of the original pyramid.
C) The new pyramid has the same volume as the volume of the original pyramid.
D) The new pyramid has a volume that is 2 times the volume of the original pyramid.
It's only one answer!!!

Answers

Answer:it is B

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

I got it correct

Divide ( 4x2 - 24x + 35 ) / ( 2x - 5 )

Answers

Answer:

the closest i got is [tex]\frac{43-24x}{2x-5}[/tex]

Step-by-step explanation:

Help please!!!!
Amara has taken out a fixed rate mortgage for $125,000 at 4.04% for 20 years, or 240 months. Her payments are $730. What is the total cost of the loan?
A. $130,050
B. $175,200
C. $211,680
D. $226,000

Answers

Answer:

B. $175,200

Step-by-step explanation:

Monthly payment

$730

Number of payments

240

Total cost of the loan is:

$730*240 = $175200

Correct answer choice is: B

Answer:

Hello, the total cost of the loan is $175,200 i have the same question on my previous exam and did the work to double check

In a study done in Miami's economically disadvantaged community, it was determined that 38 out of 62 children who attended preschool needed social services later in life compared to 49 out 61 children who did not attend preschool. Test the claim that the proportion of children who need social services later in life is greater amongst the children who did not attend preschool compare to the ones who did attend preschool. Use a 0.05 level of significance.

Answers

Answer:

Step-by-step explanation:

This is a test of 2 population proportions. Let 1 and 2 be the subscript for the children who attended preschool and need social services later in life and children who did not attend preschool and need social services later in life. The population proportion for the children who attended preschool and children who did not attend preschool would be p1 and p2 respectively.

p1 - p2 = difference in the proportion of proportion of the children who attended preschool and children who did not attend preschool .

The null hypothesis is

H0 : p1 = p2

p1 - p2 = 0

The alternative hypothesis is

Ha : p1 < p2

p1 - p2 < 0

it is a left tailed test

Sample proportion = x/n

Where

x represents number of success(number of complaints)

n represents number of samples

For children who attended preschool,

x1 = 38

n1 = 62

p1 = 38/62 = 0.61

For children who did not attend preschool,

x2 = 49

n2 = 61

p2 = 49/61 = 0.8

The pooled proportion, pc is

pc = (x1 + x2)/(n1 + n2)

pc = (38 + 49)/(62 + 61) = 0.71

1 - pc = 1 - 0.71 = 0.29

z = (p1 - p2)/√pc(1 - pc)(1/n1 + 1/n2)

z = (0.61 - 0.8)/√(0.71)(0.29)(1/62 + 1/61) = - 0.19/0.08183139728

z = - 2.32

Since it is a left tailed test, we would determine the probability for the area below the z score from the normal distribution table. Therefore,

p = 0.01

Since alpha, 0.05 > than the p value, 0.01, then we would reject the null hypothesis. Therefore, At a 5% level of significance, the the proportion of children who need social services later in life is greater amongst the children who did not attend preschool compare to the ones who did attend preschool.

A circular table top has a radius of 3 feet. Enter the area in square feet or the table top. Round your answer

Answers

Answer:

28.26 square feet

Step-by-step explanation:

A=πr²

A=(3.14)(3)²=28.26 square feet

A scientist is measuring the temperature change in a decimal compound. The temperature dropped 11 f per hour from the original temperature. After four hours the temperature was 90 f find the compounds original temperature.

Answers

Answer:

[tex] F = mt +b[/tex]

From the info given we know that m =-11 and we have a condition given:

[tex] F =90 , t =4[/tex]

Using this condition we have:

[tex] 90 = -11*4 +b[/tex]

And solving for b we got:

[tex] 90 +4*11 = 90 +44= 134[/tex]

So then the original temperatue for this case is 134 F

Step-by-step explanation:

For this case we know that after four hours the temperature was 90 f and the temperature dropped 11 f per hour.

We can use a linear model to solve the problem given by:

[tex] F = mt +b[/tex]

Where F represent the temperature, t the time in hours and m the slope and b the intercept.

From the info given we know that m =-11 and we have a condition given:

[tex] F =90 , t =4[/tex]

Using this condition we have:

[tex] 90 = -11*4 +b[/tex]

And solving for b we got:

[tex] 90 +4*11 = 90 +44= 134[/tex]

So then the original temperatue for this case is 134 F

Which is greater or less then 2/3 Or 1 3/4

Answers

Answer:

2/3 < 1 3/4

Step-by-step explanation:

2/3 is less than 1 3/4

2/3 as a decimal is 0.6666667

1 3/4 as a decimal is 1.75

So, 1.75 is more than 0.6666667

The answer will be 2/3 < 1 3/4

Can some one help me plz with step by step
x^2 + x - 42

Answers

Answer:

x = 6 or x = -7

Step-by-step explanation:

Solve for x over the real numbers:

x^2 + x - 42 = 0

The left hand side factors into a product with two terms:

(x - 6) (x + 7) = 0

Split into two equations:

x - 6 = 0 or x + 7 = 0

Add 6 to both sides:

x = 6 or x + 7 = 0

Subtract 7 from both sides:

Answer: x = 6 or x = -7

please help me quickly !!

Answers

Answer:

A ... [tex]\frac{3}{4} (\frac{4}{3})x=-6 (\frac{4}{3})[/tex]

Step-by-step explanation:

Multiplying 4/3 on both sides gets x by itself

Rewrite the equation by completing the square.
x^2+ 12x + 36 = 0

Answers

Answer:

(x+6)^2 =0

Step-by-step explanation:

x^2+ 12x + 36 = 0

Subtract 36 from each side

x^2+ 12x + 36-36 = 0-36

x^2 +12x = -36

Take the coefficient of x

12

Divide by 2

12/2 =6

Square it

6^2 =36

Add this to each side

x^2+ 12x + 36 = -36+36

(x+12/2)^2 = 0

(x+6)^2 =0

The given quadratic equation [tex]x^2+ 12x + 36 = 0[/tex] is written in squaring form as [tex](x + 6)^2 = 0[/tex].

Used the concept of a quadratic equation that states,

An algebraic equation with the second degree of the variable is called a Quadratic equation.

Given that the equation is,

[tex]x^2+ 12x + 36 = 0[/tex]

Now completing the square as

[tex]x^2+ 12x + 36 = 0[/tex]

It can be written as,

[tex]x^2+ 12x + 6^2 = 0[/tex]

[tex]x^2+ 2\times 6\times x + 6^2 = 0[/tex]

[tex](x + 6)^2 = 0[/tex]

Therefore, the equation is written as [tex](x + 6)^2 = 0[/tex].

To learn more about the quadratic equation visit:

brainly.com/question/1214333

#SPJ6

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