help pls !! ♡
6. In the diagram of circle O, tangent PB is drawn as is secant PAC. We wish to prove the Secant/Tangent Length Theorem, i.e. PA·PC = PB2. (a) Explain why APAB is similar to APBC (i.e. explain which two angles pairs must be congruent and why). O® A P B (6) Set up a proportion involving PA, PB, and PC based on the similar triangles and rewrite it in product form. Draw the two similar triangles separately and in the same orientation to help. COMMON CORE GEOMETRY, UNIT #8 - CIRCLE GEOMETRY - LESSON #8 eMATHINSTRUCTION, RED HOOK, NY 12571, © 2018​

Help Pls !! 6. In The Diagram Of Circle O, Tangent PB Is Drawn As Is Secant PAC. We Wish To Prove The

Answers

Answer 1

The lines PC and PB are the secant and the tangent lines of the circle, while the proportion involving PA, PB, and PC is PA * PC = PB²

Why the triangles are similar triangles?

The triangles are given as:

Δ PAB and Δ PBC

Both triangles have a common point at P.

This means that:

∠P ≅ ∠P --- reflexive property of congruent angles

Also, the angles at C and B are congruent:

This is represented as:

∠B ≅ ∠C

Both triangles have a common side length PB.

Hence, the triangles are similar by ASA similarity theorem

The proportion involving PA, PB, and PC

The similarity theorem in (a) is the ASA similarity theorem.

This means that:

PA : PB = PB : PC

Express as fraction

[tex]\frac{PA}{PB} = \frac{PB}{PC}[/tex]

Cross multiply the expressions

PA * PC = PB * PB

Evaluate the product

PA * PC = PB²

Hence, the proportion involving PA, PB, and PC is PA * PC = PB²

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Related Questions

Gavin invested $100 into a CD account. The account grow at a rate of 5%
each year. What type of equation do this scenario represent?

Answers

Answer: y=5x+100

Step-by-step explanation:

the y intercept is the 100$ invested into the account, and the rate of change is 5

The box plot below represents some data set. What is the interquartile range (IQR) of
the data?
-
42
45
48
51
54
57
60

Answers

Answer:

IQR = 5

Step-by-step explanation:

the IQR is the difference between the upper quartile Q₃ and the lower quartile Q₁

Q₃ is the value at the right side of the box plot , that is

Q₃ = 51

Q₁ is the value at the left side of the box plot , that is

Q₁ = 46

then

IQR = Q₃ - Q₁ = 51 - 46 = 5

9. What is the volume of the triangular prism
below?
5cm
3cm
4cm
3cm

Answers

Answer:

where is the prism? did u attach a photo of it

When f = 2 and g = 8, n = 4. if n varies jointly with f and g, what is the constant of variation? one-fourth one-half 4 64

Answers

The value of the constant of variation is one-fourth. Then the correct option is A.

What is the constant of variation?

The term "constant of variation" refers to the fact that the relationship between variables remains constant.

The formula will be

y = kx

where k is the variation constant.

When f = 2 and g = 8, n = 4. if n varies jointly with f and g, then the equation will be

n = kgf

Then the value of k will be

4 = (2)(8)k

k = 1/4

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Answer:

Keep it simple. Answer: A

Step-by-step explanation:

What is the value of log subscript 0.5 baseline 16? –4.00 –0.25 1.51 2.41

Answers

Answer:

The correct option is a.

The given expression is,Use property of logarithm

The value of log(0.5) is -0.30103.

The value of given expression is -4.81648.

If the final answer appromatted to preceding integer, then the correct option is -4.00.Step-by-step explanation:

The value of the [tex]log_{0.5}[/tex] (16) will be -4.00 so the correct option will be (A).

What is a logarithm?

The exponent indicates the power to which a base number is raised to produce a given number called a logarithm.

A logarithm is a power to which a number must be raised in order to get some other number.

A logarithm is useful to find out the values on which power has a variable.

In another word, a logarithm is a different way to denote any number.

If you want to write 1 in logarithm then it will be log(base).

[tex]log_{a}[/tex] (x) = b ⇒ [tex]a^{b}[/tex] = x.

Let's say the given number is x then

x = [tex]log_{0.5}[/tex] (16)

[tex]0.5^{x}[/tex] = 16

Take log by both sides

Log[tex]0.5^{x}[/tex] = log 16

By log property

x log 0.5 = log 16

x = -4.00 hence, the correct answer to the given question will be -4.00.

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PLEASE PLEASE HELP ME WITH THIS I NEED ASAP THESE ARE TRUE OR FALSE QUESTIONS

Are the following statements true or false? (20 Points)
a. If the domain of a uniform continuous probability density function is 8.0 then its height is = 0.1684
b.
If the domain of a uniform continuous probability density function is 8.0 then P(14.0< X<26.0) = 0.6092
c.
All normal curves are symmetric and bell-shaped.
d.
By the Empirical Rule 99.7% of the area under a normal curve is within two
standard deviations of the mean.
I
e.
All uniform density functions are symmetric and bell-shaped.
f.
The Standard Normal curve has a mean of zero and a standard deviation of one.
0075

Answers

Answer:

1. true 2. false 3. false 4. true 5. false 6. false or true

Step-by-step explanation:

you're welcome

Solve for X please answer

Answers

Answer:

x=1.082682

Step-by-step explanation:

EfsrcegcrffdfAbjhbhjgg

Answers

Answer:

what do you need help with

Step-by-step explanation:

Answer:

SAME

Step-by-step explanation:

I am so happy someone else goes through this! I'm SO happy I'm not alone.

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

Answers

Since, the fundraiser only have three prices for books($2, $5 and $10), the number of $5 book that was sold is 12.

How to form equation and solve ?

The fundraiser only have 3 prices for books which are $2, $5 and $10.

There were 6 more $5 books sold than $10 books sold.

Let

x = number of $10 book sold

Therefore,

number of  $5 books sold = x + 6

There are 8 more $2 book sold than $10 book sold. Therefore,

number of  $2 books sold = x + 8

A total of $250 was raised.

Therefore, the total amount sold forms the following equation:

10x + 5(x + 6) + 2(x + 8) = 250

10x + 5x + 30 + 2x + 16 = 250

17x = 250 - 30 - 16

17x  = 204

x = 204 / 17

x = 12

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What is the percent of increase from 2.5 to 4?

Answers

Answer:

60%

Step-by-step explanation:

(4-2.5):2.5*100 =

(4:2.5-1)*100 =

160-100 = 60

A quadratic equation of the form 0=ax2 bx c has a discriminant value of -16. how many real number solutions does the equation have?

Answers

The given quadratic equation has no real solutions.

Given quadratic equation is:

[tex]ax^2+bx+c=0[/tex]

What does the discriminant of a quadratic equation tell?

The discriminant(D) of a quadratic equation tells about the nature of roots.

If [tex]D > 0[/tex], the roots of the quadratic equation will be real and distinct.

If [tex]D=0[/tex], the roots of the quadratic equation will be real and equal.

If [tex]D < 0[/tex],  the roots of the quadratic equation will be imaginary.

Given that the quadratic [tex]ax^2+bx+c=0[/tex] has a discriminant value of -16.

[tex]D=-16 < 0[/tex]

So, the roots of the given quadratic equation will be imaginary.

So, the given quadratic equation has zero real solutions.

Hence, the given quadratic equation has no real solutions.

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Reggie writes the expression m + 8 × (2/3). Which expression is equivalent to the one Reggie writes?

Answers

Answer:

A

Step-by-step explanation:

A)(m+8)(2 ÷3)

Because 2/3 is just 2 divided by 3

Brainliest please?

-1.9y=2.47
rational equations!
please helP!

Answers

Answer: y = -1.3

Step-by-step explanation:

Find the surface area of the cube shown below.

units 2 1/2

Answers

Answer:

Step-by-step explanation:

Answer: 37.5

Explanation: find the surface area of one side, which is 2.5*2.5=6.25 then multiply that product by six, since there’s six sides in a square, and you’ll get 37.5

Noah enjoys building towers in the shape of right rectangular prisms. Noah built a right rectangular prism, the area of
the base is __ square centimeters and the height is __ centimeters.

Answers

Answer:

do you have a picture so I can see more information

what is the length of AD and find the measure of angle CAB

Answers

Answer:

AD = 44 and angle CAB = 90 degrees

Step-by-step explanation:

since the shape is a rectangle, all corner angles must be 90 degrees. so CAB is also 90 degrees.

the length of half of BC is 22, so the full length of BC is 44. using symmetry, AD should also be 44.

byebye!<3

Algebra Find the value of each variable.
pls help

Answers

You forgot the a.

Remember the flat angle is 180. So it’s

2a+24+a=180
3a+24=180
3a = 156
a= 52

¿Alguien me ayuda con estas ecuaciones? :(​

Answers

Answer:

see below

Step-by-step explanation:

7x-12=30

7x=30-+12

x=42/7

x=6

5x-18=77

5x=77+18

x=95/5

x=19

8x+12=36

8x=36-12

x=24/8

x=3

x+45=72

x=72-45

x=27

x+27=82

x=82-27

x=55

x-13=66

x=66+13

x=79

what is 3.20 divided by 5

Answers

Answer:

0.64

Step-by-step explanation:

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

Answer:

0.64

Step-by-step explanation:

3.20 divided by 5 is 0.64.

Which of these ordered pairs is a solution to the inequality

y – 2x ≤ –3?


Question 3 options:



(2, 4)



(–2, 3)




(3, 4)



(1, –1)

Answers

The answer is: (1, –1)

For what values of x is the inequality 2/3 + x/3 >1 true?

Answers

Answer:

B

Step-by-step explanation:

[tex]\frac{2}{3}[/tex] + [tex]\frac{x}{3}[/tex] > 1 ( multiply through by 3 to clear the fractions )

2 + x > 3 ( subtract 2 from both sides )

x > 1

Late night math for you guys to solve

Answers

Length: 6
Width: 10 + 2x

Length: 3
Width: 10 + 4x

Length: 1
Width: 30 + 12x

A rectangle is 28 cm long and 9 cm wide what is thr perimeter of the rectangle pls hurry

Answers

Answer:

Perimeter of rectangle = 74 cm

Step-by-step explanation:

In the question we are given with ,

Length of rectangle = 28 cm

Width of rectangle = 9 cm

And we are asked to find the perimeter of rectangle . As we know that ,

[tex] \red {\boxed{\rm{Perimeter \: of \: rectangle = 2 ( L + W ) }}}[/tex]

Where ,

L = Length of rectangleW = Width of rectangle

Substituting values of length and width in formula :

[tex] \longmapsto \: 2(28 + 9)[/tex]

Step 1 : Solving the parenthesis :

[tex] \longmapsto \: 2(37)[/tex]

Step 2 : Multiplying 2 and 37 :

[tex] \longmapsto \: \red{ \boxed{74 \: cm}}[/tex]

Therefore , perimeter of rectangle having length 28 cm and width 9 cm is 74 cm .

#Keep Learning

The measure of angle C is 20.5 angles C and D are complementary angles Find m

Answers

Answer:

69.5 if C and D both add up to 90, M=90 if both angles C and D were complementary to combine to a supplementary.

Step-by-step explanation:

You're trying to find m which is a variable for measurement for the "D" angle.

Info Given:

20.5 for angle C

Unknown for angle D

Both angles are Complementary.

_____________________________________________

I have 2 answers for this (The question was stated unclearly so I have 2 interpretations of this)

1st Answer:

If you're asking to solve for M but the C and D angles add up to 90 then do

90 - 20.5 = 69.5

2nd Answer:

We know that both angles are complementary which are 90-degree angles.

If we combine them then the angles add up to 180.

So C and D add up to form a Supplementary Angle.

20.5+69.5 + m = 180

Then M could possibly be 90.

Jose is in 8th grade, and he is researching his favorite colleges. He notices that the current cost of tuition, books, and fees at one 4-year college is $14,500 per year. What will be the total cost of tuition, books, and fees for Jose if he eventually chooses to attend this college for four years?

Question 10 options:

A. $56,000

B. $29,000

C. $60,000

D. $58,000

Answers

The total cost of tuition, books, and fees for Jose if he eventually chooses to attend this college for four years is $58,000.

What is the total cost of attending the college for four years?

Multipiciation is the process of combining numbers or vectors together in order to determine their product. Multiplication is represented with this sign: x.

The total cost of attending the college for four years = cost per year x total number of years

$14,500 x 4 = $58,000

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find the area of the equilateral triangle ​

Answers

Answer:

3.90 sq cm

Step-by-step explanation:

[tex]A_{equilateral\: \triangle} = \frac{ \sqrt{3} }{4} \times {(side)}^{2} \\ \\ = \frac{ \sqrt{3} }{4} \times {(3)}^{2} \\ \\ = \frac{9 \sqrt{3} }{4} \\ \\ = 3.89711432 \: {cm}^{2} \\ \\ \approx \: 3.90 \: {cm}^{2} [/tex]

CAN u pls pls pls help its easy for yall not me im slow

Answers

Answer:

A

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

2.25/.5

3x-2y=-3,-9x+6y=9 solve each system using elimination, state the solution and type of system.

Answers

We will see that the system of equations has infinite solutions, each of the form:

y = (3/2)*(x + 1)

How to solve the system of equations?

Here we have the system:

3x - 2y = -3

-9x + 6y = 9

Notice that if we add 3 times the first equation to the second one, we get zero.

3*(3x - 2y) + -9x + 6y  = 3*(-3) + 9

9x - 6y - 9x + 6y = -9 + 9

0 = 0

This actually means that both equations represent the same line, then, the "two" lines intersect in infinite points, meaning that the system of equations has infinite solutions, which are of the form:

3x - 2y = -3

2y = 3 + 3x

y = (3/2)*(x + 1)

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The zeros of a quartic polynomial function are 2, -2, 4, and -4. Use the zeros to construct a possible sketch of the function on the set of axes

Answers

The sketch of the function on the set of axes is given below:

What are Zeros?

The zero of any real-, complex-, or generally vector-valued function f, is a member x of the domain of function such that f(x)=0 at x; x is the solution to the equation f(x) = 0.

Finding the function:

As we have the zeros 2,-2,4,-4

The function can be:

[tex]f(x)=(x-2)(x+2)(x-4)(x+4)\\f(x)=(x^2-4)(x^2-16)\\f(x)=x^4-20x^2+64[/tex]

The sketch using a graphing calculator:

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If r(x) = 3x – 1 and s(x) = 2x 1, which expression is equivalent to (startfraction r over s endfraction) (6)? startfraction 3 (6) minus 1 over 2 (6) 1 endfraction startfraction (6) over 2 (6) 1 endfraction startfraction 36 minus 1 over 26 1 endfraction startfraction (6) minus 1 over (6) 1 endfraction

Answers

The expression which is equivalent to the given ratio of the two provided binary fraction is startfraction 3 (6) minus 1 over 2 (6) 1 endfraction.

What is the equivalent expression?

Equivalent expressions are the expression whose result is equal to the original expression, but the way of representation is different.

The given binary functions are.

[tex]r(x) = 3x - 1[/tex]

[tex]s(x) = 2x +1[/tex]

The expression which has to be found out is,

[tex]\left(\dfrac{r}{s}\right)(6)=\left(\dfrac{3(6)-1}{2(6)+1}\right)\\\left(\dfrac{r}{s}\right)(6)=\left(\dfrac{18-1}{12+1}\right)\\\left(\dfrac{r}{s}\right)(6)=\left(\dfrac{17}{13}\right)[/tex]

Thus, the expression which is equivalent to the given ratio of the two provided binary fraction is startfraction 3 (6) minus 1 over 2 (6) 1 endfraction.

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Singing is a large part of Indian music, but the words dont have much importance.TrueFalse Its the end of the school year, and Quan is taking some selfies with her friends and teachers. She calls to her favorite teacher and two of her friends to come over for a picture. They all smile and pose when Quan snaps the image. But when Quan looks at the picture, she only sees herself and her teacher. Her two friends are missing from the image! What MOST LIKELY happened?A. The background of the image was too distracting.B. Quan forgot to keep her chin down and her camera up.C. The lighting made Quans friends disappear from the image.D. They didnt squeeze close enough, and her friends were cut out of the image. drag the correct symbol into the box to compare expessions6^2-2^2___4(6+2)A.B.= A restaurant chain order 3940 of rice and 20 bags about how many 20 bags of rice did the chain order 4.2- World War 1 and the Roaring Twenties Test ANSWERS 2022Question 1Which Factors contributed to the freedom enjoyed by women in the 1920s? Select the two correct answers.A) The popularization of contraceptionD) winning the right to voteQuestion 2The cartoon's title is "The Genii of Intolerance." The caption reads: "A dangerous ally for the cause of women's sufferage." It was published in 1915.What is the message the author wishes to convey with this cartoon?D) Suffaragists should not be linked to the cause of prohibitionQuestion 3Which of these is an example of how the arts D)impacted social change during the 1920s?C)White audiences enjoyed jazz as played by African Americans in musicians in Harlem clubs such as Cotron Club.Question 4of the writers listed below, which was the most influencial writer of the Harlem Renaissance?D) Langston Hughes Question 5The Apollo Theater and the Cotton Club often hosted events of which type in New York City during the 1920s?2)Jazz performancesQuestion 6use the poem to answer the question"Champs d'Honneur" by Ernest Hemingway (1923)How does this poem relate to the aftermath of World War 1 in the 1920s?D) it emphasizes that a generation of Americans struggled to recover from the brutality war.Question 7What was the difference between Sinclair Lewis and the Lost Generation authors?A) Lewis' writing was influenced more by the previous generation's progressive ideas.Question 8What was the greatest difficulty in trying to enforce prohibition during the 1920s?D) (p)eople found ways to obtain and transport illegal liquor.Question 9How did the public response to the 1918 influenza pandemic and the Red Scare after World War 1 lead to a very similar reaction to different problems?D) Growing fear of others Question 10World War 1 lead to a major change in the international role of the United States. 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