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:

~ 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

* I have already answered this question before *


Related Questions

CaN aNyOnE hElP mEh I aM sO CoNfUsEd!! (ik ik i am stupid) ¯\_(ツ)_/¯
LeAnn wants to giftwrap a present she got for her little brother. How many square inches of giftwrap will be needed to cover a box that is 4in x 6in x 2in? In your final answer, include all of your calculations.

Answers

Answer: 88 square inches

If we want to wrap the box, we need to work out its surface area - the area that will need to be covered by the giftwrap.

This box is a cuboid, so there will be six faces, with only three different areas (each face has an identical pair).

Let's say the height is 2 in, the length is 6 in and the depth 4 in.

height = 2

length = 6

depth = 4

Let's find the area of the faces that measure height x length:

2 x 6 = 12 square in

Now let's do the same thing for height x depth:

2 x 4 = 8 square in

And finally for length x depth:

6 x 4 = 24

There are two of each of these faces, so let's multiply each result by two.

12 x 2 = 24

8 x 2 = 16

24 x 2 = 48

Finally, all that's left to do is add these numbers together to find the total surface area of the cuboid.

24 + 16 + 48 = 

88 square inches

Answer:

88 square inch

Step-by-step explanation:

What is a rational number?

Answers

In mathematics, a rational number is a number that can be expressed as the quotient or fraction p/q of two integers, a numerator p and a non-zero denominator q. Since q may be equal to 1, every integer is a rational number.

Answer:

A rational number can be written as the ratio of two integers.

Step-by-step explanation:

Fractions (1/2), whole numbers (7 7/1), terminating decimals (2.33) repeating decimals (.222 repeating) square root of a perfect square (V-25 = 5/1) Integers (1 -2)

A restaurant advertises that its burritos weigh 250 g 250 g250, start text, space, g, end text. A consumer advocacy group doubts this claim, and they obtain a random sample of these burritos to test if the mean weight is significantly lower than 250 g 250 g250, start text, space, g, end text.

Answers

Answer: C) H0 : μ = 250 , Ha: μ < 250

Step-by-step explanation:

The questions is incomplete. The correct question is

A restaurant advertises that its burritos weigh 250 g. A consumer advocacy group doubts this claim, and they obtain a random sample of these burritos to test if the mean weight is significantly lower than 250 g. Let u be the mean weight of the burritos at this restaurant and ĉ be the mean weight of the burritos in the sample. Which of the following is an appropriate set of hypotheses for their significance test? Choose 1 answer:

A) H0 : x = 250 , Ha : x < 250

B) H0 : x = 250 , Ha : x > 250

C) H0 : μ = 250 , Ha: μ < 250

C) H0 : μ = 250 , Ha: μ > 250

Solution:

The null hypothesis is the hypothesis that is assumed to be true. The restaurant advertises that its burritos weigh 250. This is the null hypothesis. 250 is the population mean,μ . Thus, the null hypothesis is

H0 : μ = 250

The alternative hypothesis is what the researcher expects or predicts. The consumer advocacy group tests if the mean weight is significantly lower than 250g. This is the alternative hypothesis. It is expressed as

H0 : μ < 250

Answer:

Yes, because 0.002 < 0.01

Step-by-step explanation:


There are 1800 students in a school. 53.5% of them are male. How many are female?

Answers

Answer:

Step-by-step explanation:

837 are females as 52.5 percent of 1800 equals 837.

Answer:

Females = 100 - percent of males = 100 - 53.5 = 46.5%

Number of females = 46.5/100 × 1800 = 837

In what direction is the line containing the points (1,7) and (10, 15) going?

A. Up and to the right
B. Down and to the right
C. Horizontal
D. Vertical

Answers

Answer:

A) Up and to the right

Step-by-step explanation:

On a graph, the direction of the line with points [tex](1,7)[/tex] and [tex](10, 15)[/tex] is going up to the right.

Brainliest for the Correct answers !

Answers

Step-by-step explanation

On the first graph, I made the graph too short but when x = 8, y= 10,

also this is only for the two graphs on the bottom because the first ones were examples

share 200 in the ratio 3:1:4

Answers

Answer:

75:25:100

Step-by-step explanation:

Bartolo is running a race. He determines that if he runs at an average speed of 15 feet/second, he can finish the race in 6 seconds. If he runs at an average speed of 18 feet/second, he can finish the race in 5 seconds. Which equation represents this inverse variation?

Answers

Answer:

The Equation that represents these inverse variation is:

Speed is inversely proportional to Time

Speed (S) ∝ 1/ Time(T)

And the constant of proportionality = Distance(D)

Therefore, Speed = Distance/ Time

Step-by-step explanation:

For an inverse variation, one element increases while the other element decreases. In this question, the element or variable that increases is the speed while the element or variable that decreases is the time.

We can see from the question that

a) If he runs at an average speed of 15 feet/second, he can finish the race in 6 seconds.

b) If he runs at an average speed of 18 feet/second, he can finish the race in 5 seconds

Speed is inversely proportional to Time because the higher the speed, the lesser the time it takes to go or move in a particular direction or to go in a particular distance.

Hence, the Equation that represents these inverse variation is:

Speed is inversely proportional to Time

Speed (S) ∝ 1/ Time(T)

For inverse variation or proportionality, a constant is always needed

And the constant of variation or proportionality = Distance(D)

Therefore, Speed = Distance/ Time

A local radio station has 30 concert tickets. They give away 2 tickets each hour until the tickets are gone.
Which equation represents the number of concert tickets, y, left after x hours?
A. y = -30x + 2
B. y = -2x - 30
C. y = -2x + 30
D. y = 2x + 30
E y = 30x - 2

Answers

the equation is y=2x+30

Write an equation in slope-intercept form for the line with slope 4 and y-intercept - 2

Answers

Answer:

The slope intercept form is typically in the form of

y=mx+c

c=-2

m=4

The slope intercept form of the equation is

y=4x-2

Enter the values for the variables that give the correct simplified expressions, x = equal to or greater than 0. Need help asap!

Answers

Answer:

21, 30,23, 20

Step-by-step explanation:

Answer:2,4,3,6

Step-by-step explanation:

On edg :D

What is the volume of the right rectangular prism below?



A
434 cubic inches
B
418 cubic inches
C
334 cubic inches
D
218 cubic inches

Answers

Answer:

Volume of right rectangular prism = 3.75 in³

Step-by-step explanation:

Given:

First side of rectangular prism = 2 inches

Second side of rectangular prism = 1[tex]\frac{1}{2}[/tex] = 1.5 inches

Third side of rectangular prism = 1[tex]\frac{1}{4}[/tex] = 1.25 inches

Find:

Volume of right rectangular prism:

Computation:

[tex]Volume\ of\ right\ rectangular\ prism=lbh\\\\Volume\ of\ right\ rectangular\ prism=(2)(1.5)(1.25)\\\\ Volume\ of\ right\ rectangular\ prism= 3.75 in^3[/tex]

February 2, the temperature at 11 AM was 5°F. At
10 PM, it had dropped to 3°F. To find the number of
degrees the temperature dropped, which equation
could you use? Let x be the number of degrees the
temperature changed.

Answers

Answer: x = 2 degrees Fahrenheit

Step-by-step explanation:

5-3= 2 it’s a pretty simple equation

A gift box is in the shape of a trapezoidal prism with base lengths of7 inches and 5 inches and a height of 4 inches. The height of the gift box is 8 inches. What is the volume of the gift box?

Answers

Answer:

192 in³

Step-by-step explanation:

A trapezoidal prism is a three dimensional solid that has two similar trapezoids at its top and base.The two similar trapezoids are connected by four rectangles connecting the corresponding sides of the two bases.

The Area of the trapezoid at the top or base = 1/2 (a + b)h

Where a and b are the lengths =  7 inches and 5 inches and the height (h) = 4 inches.

Therefore Area of the trapezoid at the top or base = 1/2 (a + b)h = 1/2(7 + 5)4 = 24 in²

The volume of gift box = Area of the trapezoid at the top or base × height of gift box = 24 × 8 = 192 in³

What is the slope of the line through (41,22) (42,15)

Answers

Answer:

work is shown and pictured

A ______ is the degree of truth of a conditional statement

Answers

I think answer might be considered please give me brainlest I hope this helps

There are 7 red 3 green 2 blue and 8 purple marbles in a bag if a marble is randomly chosen 250 times predict how many times it should be red or green

Answers

Answer:

It should be red or green 125 times

Step-by-step explanation:

The first thing to do here is to calculate the probability of selecting a red or a green marble

Total number of marbles = 7 + 3 + 2 + 8 = 20

Probability of selecting a red marble is 7/20

Probability of selecting a green marble is 3/20

The probability of selecting a red or a green marble = Probability of selecting a red marble + Probability of selecting a green marble = 7/20 + 3/20 = 10/20 = 1/2

Now our selection spans 250 times, the number of times it should have been a green or a red marble = The probability of selecting a green or a red marble * number of selection times = 1/2 * 250 = 125 times

Estimate the sum of 381 and 22 by rounding both values to the nearest ten. What is the best estimate of the sum?
400
410
420
430

Answers

The best estimate for my answer is 410 to the nearest ten

Answer:

410

Step-by-step explanation:

-83 = -16 + x,
.....................................................

Answers

Answer:

x = -67

Step-by-step explanation:

-83 = -16 + x,

Add 16 to each side

-83+16 = -16+16 + x

-67 =x

Answer:

[tex]x = - 67[/tex]

Step-by-step explanation:

[tex] - 83 = - 16 + x \\ - 83 + 16 = x \\ [/tex]

[tex]x = - 67[/tex]

hope this helps

brainliest appreciated

good luck! have a nice day!


Select the correct answer.


In the diagram, and are vertical lines, while is a horizontal line segment. If CR : RB = 2 : 3, what are the coordinates of point Q?

A.
(-2, -4)
B.
(-1, -5)
C.
(-3, -3)
D.
(0, -6)

Answers

The answer should be C or d

Answer:

c

Step-by-step explanation:

Solve each inequality. Graph the solution on a number line.

1. 4x > -36


2. 7 y \leq≤ -49


3.-5m \geq≥ 15


4.-2p < -3


5. 45 \leq≤ -10r


6. -66\geq≥ -11t

100 points and brainliest ​

Answers

Step-by-step explanation:

Step 1:  Find the solution for the first one

[tex]4x > -36[/tex]

[tex]4x / 4 > -36 / 4[/tex]

[tex]x > -9[/tex] ← Solution

Step 2:  Find the solution for the second one

[tex]7u\le-49[/tex]

[tex]7y/7\le-49/7[/tex]

[tex]y \le -7[/tex] ← Solution

Step 3:  Find the solution for the third one

[tex]-5m \ge 15[/tex]

[tex]-5m / -5 \ge 15 / -5[/tex]

[tex]m \le -3[/tex] ← Solution

Step 4:  Find the solution for the fourth one

[tex]-2p > -3[/tex]

[tex]-2p / -2 > -3 / -2[/tex]

[tex]p < 1.5[/tex] ← Solution

Step 5:  Find the solution for the fifth one

[tex]45 \le - 10r[/tex]

[tex]45 / -10 \le -10r / -10[/tex]

[tex]-4.5 \ge r[/tex] ← Solution

Step 6:  Find the solution for the sixth one

[tex]-66 \ge -11t[/tex]

[tex]-66 / -11 \ge -11t / -11[/tex]

[tex]6 \le t[/tex] ← Solution

Answer:

Hey hyd ?

Step-by-step explanation:

what is the slope of the line that passes through (0,1) & (4,-19) ?

Answers

Answer:

the answer is -5

Step-by-step explanation:

1. identify the ordered pairs

2. write down the slope formula

3. replace the letters with their values

4. subtract

5. divide

Please help with this question

Answers

Answer:

9.92

Step-by-step explanation:

1.72/0.86=x/4.96

.86x=8.5312

x=992

20POINTS ANSWER QUICK I WILL MARK BRAINLIEST
Select all that apply.

Which kinds of symmetry does a square have?

vertical line symmetry
horizontal line symmetry
diagonal line symmetry
rotational symmetry

Answers

Answer:

Rotational line symmetry  &  Vertical line symmetry

Hope its correct

PLS MARK AS BRAINLIESTTT

Answer:

All 4 answers are correct. Squares have horizontal line symmetry,  vertical line symmetry , diagonal line symmetry , and rotational symmetry.

Step-by-step explanation:

Please help with this question

Answers

Answer: 42/11 = 21/5.5

Step-by-step explanation:

1) Since the hypotenuse is 42 for one of the triangles it must be similar to the other triangles hypotenuse, 11.

2) Therefore, the ratio is 42/11.

3)The adjacent sides to the right angle are 21 and 5.5.

4)Therefore, the ratio is 21/5.5

What is an explanatory variable?

Answers

Step-by-step explanation:

An explanatory variable is a type of independent variable. The two terms are often used interchangeably. But there is a subtle difference between the two. When a variable is independent, it is not affected at all by any other variables. When a variable isn’t independent for certain, it’s an explanatory variable.

Let’s say you had two variables to explain weight gain: fast food and soda. Although you might think that eating fast food intake and drinking soda are independent of each other, they aren’t really. That’s because fast food places encourage you to buy a soda with your meal. And if you stop somewhere to buy a soda, there’s often a lot of fast food options like nachos or hot dogs. Although these variables aren’t completely independent of each other, they do have an effect on weight gain. They are called explanatory variables because they may offer some explanation for the weight gain.

The line between independent variables and explanatory variables is usually so unimportant that no one ever bothers. That’s unless you’re doing some advanced research involving lots of variables that can interact with each other. It can be very important in clinical research. For most cases, especially in statistics, the two terms are basically the same.

An explanatory variable is an independent variable.

What is an expression?

One mathematical expression makes up a term. It might be a single variable (a letter), a single number (positive or negative), or a number of variables multiplied but never added or subtracted. Variables in certain words have a number in front of them. A coefficient is the number used before a phrase.

Given:

A variable is an explanatory variable.

A researcher-manipulated variable is an explanatory variable when it comes to an experiment.

It serves as a measurement of the change brought about in the response variable.

A predictor variable or an independent variable are terms that are frequently used to describe an explanatory variable.

Therefore, an explanatory variable is an independent variable.

To learn more about the expression;

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What is the area of the following circle?

Answers

Answer:

A = 49 pi

Step-by-step explanation:

The area of a circle is given by

A = pi r^2

A = pi (7)^2

A = 49 pi

HELP PLEASE! URGENT!

If you flip the absolute value parent function, F(x) = |x|, across the x-axis, what is the equation of the new function?

A. G(x) = |-x|
B. G(x) = 1/|x|
C. G(x) = -|x|
D. G(x) = |x| - 1

Answers

the answer is d your welcome

Ron is cooking a meal for some friends. A package of corn contains 8 cups and a serving size is 1 cup. Ron wants to allow 2 servings for each of 11 people.

Answers

Answer:

See Explanation

Step-by-step explanation:

The text of the question is incomplete. However, the likely question that can be asked may imply that; "what number of corn package did she use?"

Given that

1 package of corn = 8 cups

1 serving = 1 cup

Total individual = 11

Servings per individual = 2

If there are 2 servings per individual then 1 package of corn will serve the following number of people.

1 package of corn = 8 / 2 individuals

1 package of corn = 4 individuals

Divide both sides by 4.

1 package of corn / 4 = 4 individuals / 4

¼ package of corn = 1 individual.

Re-arrange

1 individual = ¼ package of corn.

So, this means that 11 individuals will get;

[Multiply both sides by 11]

11 * 1 individual = ¼ * 11 package of corn

11 individuals = 11/4 package of corn

11 individuals = 2.75 packages of corn.

Hence, Ron will need 2.75 packages of corn for 11 individuals

Answer each question about the following
arithmetic sequence:
-20,-16, -12,-8,-4, ...
What is the 30th term of the sequence?
a30
=

Answers

Answer:

1) a30=96

2) 30(-20+96)/2

3) 1140

Step-by-step explanation:

I just did on Edg 2020

The solution is, the 30th term of the sequence a_30 = 96.

What is Arithmetic progression?

An arithmetic progression or arithmetic sequence is a sequence of numbers such that the difference between the consecutive terms is constant.

For instance, the sequence 5, 7, 9, 11, 13, 15.. . is an arithmetic progression with a common difference of 2.

The nth term of AP : a_n = a + (n – 1) × d

here, we have,

the given sequence is,

-20,-16, -12,-8,-4, ...

so, here, we have,

a = -20

d = 4

so, the 30th term of the sequence is,

a_30 = a + (30-1) d

         = -20 + 29*4

         = 96

Hence, The solution is, the 30th term of the sequence a_30 = 96.

To lean more on Arithmetic progression click:

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