what can you conclude about any tangent line to a circle and the radius of the circle

Answers

Answer 1

Answer:

A tangent is always perpendicular to the radius of the circle

so we can conclude that they are perpendicular and do form right angles between them


Related Questions

Does anyone know what Russian math is? When I looked it up, I couldn’t get a clear definition for my little sister. The easier the better.

Answers

Answer:

“Russian Math” is built on the foundational principle that the cognitive ability of a child the power to think and reason

A metalsmith is mixing two molten metals, each containing different percentages of silver. The table shows the amount of each molten metal used. Which two expressions are both equivalent to t, the total number of grams of silver in the mixture?
A: (15)(0.75) and 0.7(15 – x) + 0.9x
B: (15)(0.75) and 0.7(15 – x)(0.9x)
C: 15 + 0.75 and 0.7(15 – x) + 0.9x
D: 15 + 0.75 and 0.7(15 – x)(0.9x)

Answers

Answer:

(15)(0.75) and 0.7(15 – x) + 0.9x

Step-by-step explanation:

I did that assignment.

Answer:

its A

Step-by-step explanation:

Someone help me pls, will give brainiest and high points

Answers

Answer:

a ≈ 117 cm

Step-by-step explanation:

Using sine rule on triangle ABC as re - shown in the attachment below to get side AC first we have;

∠A = 34°, BC = 164cm, ∠B = 27°, AC = ?

AC/sin 27° = BC/sin 34°

AC/sin 27° = 164/sin 34°

AC = 164 * sin 27° / sin 34°

AC = 74.45/0.5592

AC = 133.14 cm

To get the side 'a', we will use the trig ratio SOH CAH TOA on the right angled ACD.

According to SOH,

sin 61° = a/AC

a = ACsin61°

a = 133.14 * sin 61°

a = 116.45

a ≈ 117 cm

The marked side is approximately 117 cm

Lines MN and PQ are parallel. Lines RS and TV intersect them. On a coordinate plane, 3 lines are shown. Line M N has points (negative 3, negative 1) and (3, 3). Line P Q has points (negative 3, negative 4) and (3, 0.5). Line R S has points (negative 2, 4) and (2, negative 2). Which statements are true about these lines? Select three options. The slope of line MN is Two-thirds. The slope of line PQ is undefined. The slope of line RS is Negative three-halves. Lines RS and TV are parallel. Line RS is perpendicular to both line MN and line PQ.

Answers

Answer:

The slope of line MN is two thirds,

The slope of line RS is negative three-halves

and line RS is perpendicular to both line MN and PQ

Step-by-step explanation:

For the first two, I found the slope using the slope formula, and I know the third one is correct because that is what it says in the very beginning.

Hope this helped, sorry if it is a little hard to understand, it was pretty hard to understand. :)

The following statements are true:

The slope of line MN is Two-thirds. The slope of line RS is Negative three-halves

The formula for finding the slope of a line is expressed as:

[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]

Get the slope of MN:

For the line MN with coordinates M(-3, -1) and (3, 3).

[tex]m=\frac{3-(-1)}{3-(-3)}\\m=\frac{3+1}{3+3}\\m=\frac{4}{6}\\m_{mn}=\frac{2}{3}[/tex]

Get the slope of PQ;

For the line PQ with coordinates M(-3, -4) and (3, 0.5)

[tex]m=\frac{0.5-(-4)}{3-(-3)}\\m=\frac{0.5+4}{3+3}\\m=\frac{4.5}{6}\\m_{pq}=\frac{45}{60}\\m_{pq}=\frac{3}{4}[/tex]

Get the slope of RS

For the line RS with coordinates M(-2, 4) and (2, -2)

[tex]m=\frac{-2-4}{2-(-2)}\\m=\frac{-6}{2+2}\\m=\frac{-6}{4}\\m_{rs}=\frac{-3}{2}[/tex]

For two lines to perpendicular, hence;

M = -1/m

From the derives slopes, we can see that;

[tex]m_{rs} = \frac{-1}{m_{mn}}\\m_{rs}= \frac{-1}{\frac{2}{3} }\\m_{rs}=\frac{-3}{2}[/tex]

This shows that the lines MN and RS are perpendicular.

Based on the above calculations, the following statements are true:

The slope of line MN is Two-thirds. The slope of line RS is Negative three-halves

Learn more here: https://brainly.com/question/23935638

Please answer this in two minutes

Answers

I hope this helps you

s-28+s-17=s+22

s=22+28+17

s=67°

Answer:

67°

Step-by-step explanation:

By remote exterior angle theorem of a triangle:

s - 28° + s - 17° = s + 22°

2s - 45° = s + 22°

2s - s = 45° + 22°

s = 67°

Which diagram shows lines that must be parallel lines cut by a transversal? 2 horizontal lines are intersected by a third line. At the intersection of the first line with the third line, the bottom left angle is 115 degrees. At the intersection of the second line with the third line, the uppercase left angle is 65 degrees. 2 horizontal lines are intersected by a third line. At the intersection of the first line with the third line, the bottom left angle is 115 degrees and the bottom right angle is 65 degrees. 2 horizontal lines are intersected by a third line. At the intersection of the first line with the third line, the top right angle is 115 degrees. At the intersection of the second line with the third line, the uppercase left angle is 115 degrees. 2 horizontal lines are intersected by a third line. At the intersection of the first line with the third line, the uppercase left angle is 65 degrees and the bottom right angle is 65 degrees.

Answers

Answer:

  (A)  At the intersection of the first line with the third line, the bottom left angle is 115 degrees. At the intersection of the second line with the third line, the uppercase left angle is 65 degrees.

Step-by-step explanation:

Alternate interior angles are supplementary when parallel lines are crossed by a transversal. The first description seems to be describing alternate interior angles. (See attachment)

_____

Comment on orientation

If the transversal is oriented horizontally, then the descriptions of the angles will be of different angles than assumed here.

Answer:

(A) the first diagram

Step-by-step explanation:

write an inequality for the graph
A. x > -3
B. x < -3
c. x > -3
_

Answers

Answer:

A. x > -3

Step-by-step explanation:

Well by looking at the graph we can tell that,

the line we can tell that the line goes to the right of of the number line,

Meaning x is greater than -3.

Thus,

x > -3.

Hope this helps :)

Find the absolute value of difference between the numbers shown. The line segment spans from 4cm to 9cm

Answers

I do not know I’m sorry

A soccer ball is made of 32 pieces of leather: white hexagons and black pentagons. Each black piece borders only with white pieces, each white piece borders with three black pieces and three white pieces. How many black pieces are needed to manufacture the ball?

Answers

Answer:

The number of black pieces needed to manufacture the ball is 11 black pieces

Step-by-step explanation:

Given that the number of pieces in the soccer ball = 32 pieces

The shape of the white piece = Hexagon

The shape of the black piece = Pentagon

Each black piece borders with only white pieces

Each white piece borders with three black pieces and three white pieces

For the first black pie  piece is borders to 5 white pieces total 6 pieces

Each of the five white pieced borders 3 pieced total 5 black pieces on the sides and one white piece on top to make an additional 10 piece total = 10 + 6 = 21 piece

Each black piece holds one white piece to add extra 5 pieces to make the total = 26

At the outermost shell of the arrangement, each of the white piece attached  to a black piece will attach to an extra black piece, bringing the total to 26 + 5 = 31,

The last piece is white

Total black piece = 1 + 5 + 5 = 11 black pieces.

PLEASE PLEASE PLEASE HELP ASAP *grade 9 work* best answer gets brainliest :)

Answers

For number 13 x=70 and y=115 hope this helped
Number 13
X=70 and y=125

Here we can find x by the property of linear pair
And y by angle sum property for parallelogram

Number 14

X=30

We can use angle sum property here

So 2x+3x+x=180
6x=180
X=180/6
X= 30

Hope it helps
And don’t forget to mark as brainliest

Can someone help me solve this answer. The subject is Rate of Change: Tables​

Answers

Answer:

31+34=65

hopefully petrified and useful and likewise please

Can any one please help me I need help please help me I really need help help thank you

Answers

Answer:

Answers are below

Step-by-step explanation:

a) I graphed the scatter plot below

b) As the length of the boats increases, the capacity of the boats increase as well.

c) When the boat is 20 ft long, it has a capacity of 8 passengers. You can tell this because at 19 ft, there are 8 passengers and at 21 ft, there are 10 passengers.

d) When the boat is 29 ft long, it has a capacity of 16 passengers. You can tell this by continuing the graph to reach 29 ft in the length of boats.

Are rectangles ABCD and WXYZ congruent? Why or why not? Yes, all right angles were preserved. Yes, both rectangles have an area of 24 square units. Yes, a 180° rotation about the origin will map ABCD to WXYZ. No, there is not a rigid transformation or a combination of rigid transformations that will map ABCD to WXYZ.

Answers

Answer:

D. No, there is not a rigid transformation or a combination of rigid transformations that will map ABCD to WXYZ.

Step-by-step explanation:

Two figures are congruent if their vertices can be mapped into one another by appropriate rigid transformation or combination of rigid transformations. Examples of the transformation are; reflection, dilation, rotation and translation.

Comparing the two figures, it would be observed that they are not congruent. Since there is not a rigid transformation or a combination of rigid transformations that will map ABCD to WXYZ.

Answer:

it is D just took the test

Step-by-step explanation:

What is the measure (in radians) of central angle theta in the circle below? enter an exact expression.

Answers

Answer:

Measure of central angle is 3.665 radians

Step-by-step explanation:

In this question, we are trying to get the value of the central angle.

As we can see, the radius of the circle is 12cm while the length of the major arc is 14 pi cm.

Mathematically the length of an arc is calculated as follows;

Length of arc = theta/360 * 2 * pi * r

Plugging the values we have from the question;

14 pi = theta/360 * 2 * pi * 12

divide both sides by 2pi

7 = theta/360 * 12

360 * 7 = 12 theta

theta = (360 * 7)/12

theta = 210

Since 1 degree = pi/180 radian

it means 210 degrees = 210 * pi/180 = 3.665 radians

Answer:

[tex]\frac{7\pi }{6}[/tex]

Step-by-step explanation:

Khan Academy

these marbles are placed in a bag and two of them are randomly drawn. yellow=2 pink=3 blue=5 what is the probability of drawing 2 yellow marbles if the first one is not placed back into the bag before the second one. Give your answer as a rational number, reduced to simplest terms.

Answers

Answer: 1/45

Step-by-step explanation:

From thw question, we are told that there are:

Yellow marbles =2

Pink marbles =3

Blue marbles = 5

Total marbles = 2+3+5 = 10

The probability of drawing the first yellow ball will be= 2/10

Since the ball is not replaced, that means there will be 9 balls left and 1 yellow ball left. Therefore, the probability of drawing the second yellow ball will be = 1/9

The probability of drawing two yellow balls if they're not replaced will now be:

= 2/10 × 1/9

= 2/90

= 1/45

Find the slope of the line that passes
through these two points.
(-3, 4); (2, -1)
Simplify completely.
Slope = [?]

Answers

Answer:

Slope = -1

Step-by-step explanation:

Answer:

Slope= -1

Step-by-step explanation:

The formula for slope is (m being slope) m=[tex]y2-y1/x2-x1[/tex]

You are given the points (-3,4) and (2,-1)

-1 is going to be y2 and 4 is going to be y1

2 is x2 and -3 is x1

Plug these into the formula:

m= -1 - 4/2-(-3) = -5/5=-1

Slope=-1

Problem
Hudson (3 feet tall) is on the beach flying a kite. His angle of elevation looking up to the kite is 40°. The kite
string is 125 ft long. How high is the kite off the ground?
Solution:
We are given the reference angle of 40° and the hypotenuse (125 ft) and asked to find the opposite side, how
high the kite is from the ground. We need to use the sine ratio. Let's set up our ratio first.
Sin
40
= x/ 125
Solve for a rounding to the nearest tenth.
2=
3
This represents the height of the kite from Hudson. In order to find the height of the kite, we must add the
Hudson's height (3 ft).
So, the kite is 6
ft. above the ground.
Check

The answers are not 80 and 83. I have tried that.

Answers

Answer:

83.3 ft tall

Step-by-step explanation:

[tex]sin(40) = \frac{x}{125} \\x = 125 * sin(40)\\x = 80.34845[/tex]

Round to 80.3 and add Hudson's height

80.3 + 3 = 83.3ft tall

The kite is approximately 83.35 feet above ground.

What are trigonometric identities?

Trigonometric identities are the functions that include trigonometric functions such as sine, cosine, tangents, secant, and, cot.

To solve for height h, we will use sine as sine related opposite side of a right triangle with hypotenuse.

Sin = opposite side / hypotenuse

Sin 40 = x/ 125

x = Sin 40 (125)

x = 125 (0.642)

x = 80.3

In order to find the height of kite off the ground, we will add the height of Hudson to 80.35 feet as well as he is flying the kite.

80.3 + 3 = 83.3 ft tall

Hence, the kite is approximately 83.35 feet above ground.

Learn more about trigonometric;

https://brainly.com/question/21286835

#SPJ2

next,you will make a scatter plot. Name a point that will be on your scatterplot and describe what it represents.

Answers

Answer:

(12, 190). This represents that after selling 12 ice creams, I gain $190.

Step-by-step explanation:

I just found a scatter plot online. Ignore the current label on the x-axis that says TemperatureC, I just changed that to ice creams. You can change the title of the graph to whatever you want.

a group of 60 adults were surveyed on the ways on how they cope with stress. and the following are the results 34 said they tend to go for a vacation 27 said they would go for a smoke break 41 answered they listen to music 13 tend to go for a vacation and smoke 16 said go for a smoke and listen to music 20 go for a cation and listen to music 28 said two of the coping mechanism how many adults said exactly one of the coping mechanisms

Answers

Answer:

The number of adults that said exactly one coping mechanism are 25 adults

Step-by-step explanation:

Total number of adult in the group = 60 adults

The number that go on vacation vacation = 34

The number that go for a smoke break = 27

The number that listen to music = 41

The number that go for a vacation and smoke = 13

The number that smoke and listen to music = 16

The number that go for a vacation and listen to music = 20

The number that said two of the coping mechanism = 28

Set theory

We have;

n(A∪B∪C) = n(A) + n(B) + n(C) - n(A∩B) - n(A∩C) - n(B∩C) + n(A∩B∩C)

Given that the following relations;

n(A∪B∪C) = 60

n(A) = 34

n(B) = 27

n(C) = 41

n(A∩B) = 13

n(A∩C) = 20

n(B∩C) = 16

Therefore;

60 = 34 + 27 + 41 -13 -  20 - 16 + n(A∩B∩C)

∴ n(A∩B∩C) = 60 - (34 + 27 + 41 -13 -  20 - 16) = 7

Given that 28 said exactly 2, we have;

Total number of respondents = Those that said exactly 1 + Those that said exactly 2 + Those that said exactly 3

Total number of respondents = 60

Those that said exactly 2 = 28

Those that said exactly 3 = n(A∩B∩C) = 7

Therefore;

60 = Those that said exactly 1 + 28 + 7

Those that said exactly 1 = 60 - (28 + 7) = 25

Alternatively, we have;

Those that said exactly one = n(A) -(n(A∩B) + n(A∩C) - n(A∩B∩C))  + n(B) - (n(B∩C) + n(A∩B) - n(A∩B∩C)) + n(C) - (n(A∩C) + n(B∩C) - n(A∩B∩C))  

= 34 - (13 + 20 - 7) + 27 - (16 + 13 - 7) + 41 - (20 + 16 - 7) = 25

60 - 28 - 7 = 25

The number of adults that said exactly one coping mechanism = 25.

Can anyone pls solve this.

Answers

Answer:

3) [tex]\frac{(25)^{3/2} * (243)^{3/5}}{(16)^{5/4}*(8)^{4/3}}[/tex]

=> [tex]\frac{(5^2)^{3/2}*(3^5)^{3/5}}{(2^4)^{5/4}*(2^3)^{4/3}}[/tex]

=> [tex]\frac{5^3*5^3}{2^5*2^4}[/tex]

=> [tex]\frac{5^6}{2^9}[/tex]

4) [tex]\frac{3-2\sqrt{2} }{3+2\sqrt{2} }[/tex]

Multiplying and dividing by conjugate [tex]3-2\sqrt{2}[/tex]

=> [tex]\frac{(3-2\sqrt{2})(3-2\sqrt{2}) }{(3+2\sqrt{2})(3-2\sqrt{2})}[/tex]

=> [tex]\frac{9-6\sqrt{2}-6\sqrt{2} +8 }{9-8}[/tex]

=> [tex]\frac{17-12\sqrt{2} }{1}[/tex]

=> [tex]17-12\sqrt{2}[/tex]

Comparing it with [tex]a+b\sqrt{2}[/tex], we get

a = 17, b = -12

Consider this complex fraction. Which division problem is represented in the picture? Two-thirds divided by 3 and one-third 3 and one-third divided by (three-halves) 3 (two-thirds) 3 and one-third divided by 5

Answers

Answer:

This represents 3 and one-third divided by two-thirds because 10/3 = 3 and 1/3.

Answer:

It is 3 and 1/3 divided by 2/3.  None of the choices given work.

Hope it helps <3

PLZ HELP!!! I will name you brainliest!!!

Answers

Answer:

x= 15 and y=4

Step-by-step explanation:

Let's start by finding y first using the basic proportionality

[tex]\frac{12}{y}[/tex] = [tex]\frac{18}{6}[/tex] 12*6 = 18y 72 = 18y y = 72/18y= 4

now time to find x using the same way:

[tex]\frac{12}{y}[/tex] = [tex]\frac{x}{5}[/tex] [tex]\frac{12}{4}[/tex] = [tex]\frac{x}{5}[/tex] 3 = [tex]\frac{x}{5}[/tex] x = 3*5 x= 15
The answer is X=15 and y=4

what is the number which multiplied by itself gives 944.578756

Answers

。☆✼★ ━━━━━━━━━━━━━━  ☾  

Simply square root the value to get your answer

[tex]\sqrt{944.578756} = 30.734[/tex]

Thus, your answer is 30.734

Have A Nice Day ❤    

Stay Brainly! ヅ    

- Ally ✧    

。☆✼★ ━━━━━━━━━━━━━━  ☾

Answer:

30.734

Step-by-step explanation:

Let the number be x.

x² = 944.578756

square root both sides of the equation.

√x² = √944.578756

x = 30.734

Shelly and Jamie participate in a street relay race. Jamie must run from point B along AB⌢, which represents part of a roundabout, to pass off the baton to Shelly at point A.

If the central angle measures 123∘, and the radius of the roundabout is 50 meters, how many meters must Jamie sprint to reach Shelly?

Use π≈3.14 and round your answer to the nearest meter.

Enter your answer as a number, like this: 42

Answers

Answer:

Jamie must sprint 107 meter to pass Shelly at point A.

Step-by-step explanation:

Circumference of a sector of the circle is represented by,

Circumference = [tex]\frac{\theta}{360}(2\pi r)[/tex]

where θ = central angle subtended at the center by an arc

r = radius of the circle

[tex]m(\widehat{AB})[/tex] = [tex]\frac{123}{360}(2\pi )(50)[/tex]

           = 34.1667π

           = 107.34 meter

           ≈ 107 meter

Therefore, Jamie must sprint 107 meter to pass Shelly at point A.

Two circles have radii of 4 units and 6 units. What is the radius of a circle whose area is equal to the sum of the areas of the two given circles?

Answers

Answer:

Step-by-step explanation:

We that the area of a circle is Pi times r^2 where r is the radius

Let A be the area of the first circle and S the area of the second one and T the total one

A=4^2× Pi

S=6^2× Pi

T = Pi( 4^2 +6^2)

= Pi ( 16+36) = Pi× 52

52 is the radius square

So r = root square 52 = 2 root square 13

Find the simple interest on a loan of 20,000 at the rate of 5% in 3 years

Answers

Answer:

3,000

Step-by-step explanation:

Loan = 20,000

Simple Interest per year = 5% of 20,000

=> [tex]\frac{5}{100}* 20,000[/tex]

=> 5 * 200

=> 1,000

Simple Interest for 3 years = 3 * 1000

=> 3,000

Answer:

3000

Step-by-step explanation:

SI = P × R × T

Use simple interest formula.

20000 × 5% × 3

1000 × 3

= 3000

Which graph has figures that can undergo a similarity transformation to justify that they are similar?
ty​

Answers

Answer:

it is the second option

Step-by-step explanation:

The graph shows the function f(x)=2^x.what is the value of x when f(x)=8?

Answers

Answer:

The Answer is 6 :)

Step-by-step explanation:

Answer:

x=3

Step-by-step explanation:

f(x)=2^x

Let f(x) =8

8 = 2^x

Rewriting 8 = 2^3

2^3 = 2^x

The bases are the same so the exponents are the same

3=x

Please answer this question now in two minutes

Answers

Answer: a

Step-by-step explanation: simple math

1/1*3+1/3*5+.......+1/47*49 NEED HELP ASAP!!!!!!!!!!!!!!!!

Answers

Answer:

805/141

Hope this helps

Answer:

16.5+____+1.04

Step-by-step explanation:

1/1=(1*3)=(3.3*5)=16.5+____+1.04

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