Given:

EM, EQ-secants

Prove: MP·EW=WQ·EP


Given: EM, EQ-secantsProve: MPEW=WQEP

Answers

Answer 1

Answer:

Step-by-step explanation:

A secant is a straight line from a point outside a given circle that passes through two points on its circumference.

From the given diagram, EM and EQ are secants.

Thus,

<PEW ≅ <WEP    (common angles)

<EMP ≅ <EQW (secant-chord theorem)

<WMP ≅ <PQM (inscribed angles of arc WP)

Therefore,

[tex]\frac{EW}{WM}[/tex] = [tex]\frac{EP}{PQ}[/tex]   (corresponding sides of a triangle)

This implies that,

EW*PQ = EP*WM

Therefore,

MP*EW = WQ*EP  (properties of a similar triangle)


Related Questions

please help i don't get it

Answers

the perimeter is just all the lines around the outside of the shape so basically take all the numbers and add them together to get the answer

Answer:

97 cm

Step-by-step explanation:

The perimeter of a shape is the length of the whole shape so the perimeter of this shape would be

3 + 10 + 3 + 33 + 33 + 15 = 97 cm

write the equation of circle b with center B(-2,3) that passes through (1,2)

Answers

Answer:

[tex](x+2)^2 + (y-3)^2 = 10[/tex]

Step-by-step explanation:

The standard equation for circle is

[tex](x-a)^2 + (y-b)^2 = r^2[/tex]

where point (a,b) is coordinate of center of circle and r is the radius.

______________________________________________________

Given

center of circle =((-2,3)

let r be the radius of circle

Plugging in this value of center in standard equation for circle given above we have

[tex](x-a)^2 + (y-b)^2 = r^2 \ substitute (a,b) \ with (-2,3) \\=>(x-(-2))^2 + (y-3)^2 = r^2 \\=>(x+2)^2 + (y-3)^2 = r^2 (1)[/tex]

Given that point (1,2 ) passes through circle. Hence this point will satisfy the above equation of circle.

Plugging in the point (1,2 )  in equation 1 we have

[tex]\\=>(x+2)^2 + (y-3)^2 = r^2 \\=> (1+2)^2 + (2-3)^2 = r^2\\=> 3^2 + (-1)^2 = r^2\\=> 9 + 1 = r^2\\=> 10 = r^2\\=> r^2 = 10\\[/tex]

now we have value of r^2 = 10, substituting this in equation 1 we have

Thus complete equation of circle is [tex]=>(x+2)^2 + (y-3)^2 = r^2\\=>(x+2)^2 + (y-3)^2 = 10[/tex]

Help me please............

Answers

Answer:

Step-by-step explanation:

16*[tex]x^{2}[/tex]

Answer:

16* x^2

Step-by-step explanation:

k* x^n

First simplify the expression:

4^2*x^2

So:

16* x^2

David correctly factored the expression m^2-12m - 64.
Which expression did he write?
(1) (m - 8)(m - 8) (3) (m - 16)(m +4)
(2) (m - 8)(m + 8) (4) (m +16)(m - 4)
Explain why

Answers

Answer:

(m-16)(m+4)

Step-by-step explanation:

To factor a quadratic expression

First write the variable in each parentheses, then put negative/ positive, after that ask yourself what numbers have the product of the coefficient of x^0 and the sum of x^1.

David correctly factored the expression m^2 - 12m - 64 and got (m - 16)(m + 4).

How to factor an equation?

An equation can be factored into its factors by splitting the middle term of the equation.

The given expression can be factored as shown below:

m^2 - 12m - 64 = 0

⇒ m^2 - 16m +4m - 64 = 0

⇒ m(m - 16) + 4(m - 16) = 0

⇒ (m + 4)(m - 16) = 0

The factors of the equation m^2 - 12m - 64 = 0 are (m - 16)(m + 4).

Therefore, we have found that David correctly factored the expression m^2 - 12m - 64 and got (m - 16)(m + 4). The correct answer is option C or (3).

Learn more about factorization here: https://brainly.com/question/25829061

#SPJ2

Simplify 5(x – 7) + 6x.

Answers

Answer:

11x -35

Step-by-step explanation:

5(x – 7) + 6x.

Distribute

5x - 35 +6x

Combine like terms

11x -35

Answer:

11x-35

is the answer

please help me with this it is the last quastion i need help with

Answers

Answer:

$92.92

Step-by-step explanation:

$72.60 * 20% = 14.53

$72.60 + 8%= $78.40

$78.40 + $14.52 = $92.93

She paid $87.12 for the service.
20% of 72.60 (or 72.60 x .20) is 14.52.
72.60 + 14.52 = 87.12

Translate the statement into an equation. Then solve the equation.
The sum of 8 and 3 times a number is 23.
3x - 8 = 23; 5
8+ 3x = 23,5
3x = 8+23; 10
(8 + 3)x = 23; 2

Answers

It’s is the second option because the description matches

Help help help me me me

Answers

Step-by-step explanation:

...

the answer is 49/40

What type of graph does not show the mean?

Answers

The misleading one or the one that miss out information.

"Mean" Means the middle number of the total number. Like add all the number in the graph and divide by 2

Answer:

A bar graph.

Step-by-step explanation:

Because a bar graph is a chart used to represent data visually using bars of different heights or lengths.

Montel needs to determine the distance from -3 to zero. Which statement best desribes the process Montel should use?

F. Find the absolute value of negative three.

G. Find the opposite of positive three.

H. Find the absolute vaule of positive three.

J. Find the opposite of negative three.​

Answers

Answer:

F

Step-by-step explanation:

Absolute value finds the distance between a number and 0, which is what the question is asking for -- the distance between -3 and 0.

A person purchases items marked $2.95, $12.99, $6.97, and $4.19. What is the total cost of these purchases including 6% sales tax

Answers

the total of the purchases is $28.73

Anthony has a combination of 104 nickels and quarters totaling $22. Which system of linear equations can be used to find the number of nickels?

Answers

Answer:

The answer is c and we'll use c to get the actual answers.

A) n + q = 104

B) .05n + .25q = 22 we'll multiply B) by -4

B) -.2n -1q = -88 then we add A)

A) n + q = 104 which equals

.8n = 16

n = 20 nickels

q = 84 quarters

20 nickels = $1

84 quarters = $21

Successful!!!

Step-by-step explanation:

Two cruise ships sail from New York to Florida . One ship makes the round trip in 8 days and the other in 10 days . Both ships set sail from New York today. What is the fewest number of days both ships will sail again from New York on the same day ?
Please show work

A. 2
B. 18
C. 40
D. 80

Answers

Answer:

the answer is 40

Step-by-step explanation:

you have to multiply 8x10=80 divied by 20 which equal 40

Answer:

c

Step-by-step explanation:

Sal is tiling his entryway. The floor plan is drawn on a unit grid. Each unit length represents 1 foot. Tile costs $1.85 per square foot. How much will Sal pay to tile his entryway? Round your answer to the nearest cent.

Answers

Answer:

$80.48

Attached is the image of the entry way

Step-by-step explanation:

Given that each unit length represents 1 foot.

To find the area of the shape shown in the attached image, we need to divide the shape into two parts at about 4 ft from the bottom.

The top shape is a trapezoid of base length 4 ft, top length 7 ftand height 5 ft, while the bottom shape is a parallelogram with one side equal to 4 ft and height 4 ft

Area of a Trapezium = 1/2 × (a+b)h

a = 4ft, b= 7ft, h = 5ft

Substituting the values;

Area of trapezoid = 1/2 × (7 + 4)x 5

Area of trapezoid = 27.5 ft^2

Area of a parallelogram = length × height

Length = 4 ft, height = 4 ft

Substituting the values;

Area of parallelogram = 4 x 4

Area of parallelogram = 16 ft^2

Total area = area of trapezium + parallelogram

Total area = 27.5 + 16 = 43.5 ft^2

Cost per square foot = $ 1.85

Total cost = cost per square foot × area

Total cost = $1.85 per square foot × 43.5ft^2

Total Cost = $80.48

Answer:

Sal will pay $ 80.48  to tile his entryway.

Step-by-step explanation:

Separate the entryway into simpler shapes: a trapezoid and a parallelogram.

Find the area of the simpler figures. Count units to find the dimensions.

Trapezoid

A =   1/ 2

h(b₁ + b₂)

A =   1/ 2

(5)(4 + 7)

A =   1/ 2

(5)(11)

A = 27.5

The area of the trapezoid is 27.5 ft  

2 .

Parallelogram

A = bh

A = 4 · 4

A = 16

The area of the parallelogram is 16 ft  

2 .

Find the area of the entryway.

A = 27.5 + 16

A = 43.5

The area of the entryway is 43.5 ft  

2 .

Calculate how much Sal will pay to tile his entryway.

Area · Cost per foot =  Total Cost

43.5 · $1.95 =  $84.83

Sal will pay $84.83 to tile his entryway.

Stan guessed on all 10 questions of a multiple-choice quiz. Each question has 4 answer choices. What is the probability that he got at least 2 questions correct? Round the answer to the nearest thousandth.

P (k successes) = Subscript n Baseline C Subscript k Baseline p Superscript k Baseline (1 minus p) Superscript n minus k. Subscript n Baseline C Subscript k Baseline = StartFraction n factorial Over (n minus k) factorial times k factorial EndFraction
0.211
0.244
0.756
0.944

Answers

Answer:

The answer is C.) 0.756

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

just did the test on edge 2020

Take 2 y2 - 3 y - 5 from y3 - 6 y2 + 5 y . Select the correct answer.

A) y3 - 2 y2 + 3 y + 5
B) y3 - 4 y2 + 2 y - 5
C) y3 - 4 y2 + 2 y + 5
D) y3 - 8 y2 + 8 y + 5

Answers

Answer:

b

Step-by-step explanation:

Hope this helpsss :)

Answer:

your answer will be: B. y3 - 4 y2 + 2 y - 5

Step-by-step explanation:

Can you help me please

Answers

Answer:

372.6

3Step-by-step explanation:

what are the solutions to the system of equations graphed below?

Answers

Answer:

(-3,-3) and at (0,6)

Step-by-step explanation:

The solution to the system of equations is where the graphs intersect

The graphs intersect at (-3,-3) and at (0,6)

A cylinder has a height of 19 inches and a radius of 18 inches. What is its volu
3.14 and round your answer to the nearest hundredth.

Answers

Answer:

19339.64 in³

Step-by-step explanation:

Volume of a cylinder: V = π · r² · h

V = π · 18² · 19

V = π · 6156

V = 19339.64 cubic inches

Identify the vertex of the function graphed below.


A.
(1,2)
B.
(2,-1)
C.
(3,-2)
D.
(0,7)

Answers

Answer: (3, -2)

Step-by-step explanation:

The vertex is the highest or lowest point of a parabola, and I found it. Hope this helps :)

Answer: C.) 3,-2

Step-by-step explanation: The vertex is where the point or the curve of the vertex meets another point, wheras on this graph -2 and 3 are symmetrical and meet up on the graph.

An equilateral triangle has perimeter 57cm, what is the length of one of the sides?

Answers

Answer:

19 cm

Step-by-step explanation:

An equilateral triangle has all 3 sides the same length

P = 3s where s is the side length

57 = 3s

Divide each side by 3

57/3 = 3s/3

19 =s

5x+2y = 10
Identify the y-intercept of the
following equation.

Answers

Answer:

y intercept = 10

hope this answer helped

Multiply (x - 2)(3x + 4) using the distributive property. Select the answer
choice showing the correct distribution.​

Answers

Answer:

(x-2)(3x)+(x-2)(4)

When distributing you just break up the second parentheses and put the first parentheses infront of both of them, as it is shown in this answer.

Brett is comparing the graphs of y = 2X and y = 5x. Which statement is true?

Answers

The correct question is:

Brett is comparing the graphs of y = 2^x and y = 5^x. Which statement is true?

(1) The y-intercept of y = 2^x is (0,2), and the y-intercept of y = 5^x

is (0,5). [

(2) Both graphs have a y-intercept of (0,1), and y = 2^x is steeper.

(3) Both graphs have a y-intercept of (0,1), and y = 5^x is steeper.

(4) Neither graph has a y-intercept.

Answer:

(2) and (3) are true.

Step-by-step explanation:

The correct options are:

(2) Both graphs have a y-intercept of (0,1), and y = 2^x is steeper. Since X < 0

(3) Both graphs have a y-intercept of (0,1), and y = 5^x is steeper. Since X > 0

What is the surface area of this rectangular prism?

Answers

Answer:

Step-by-step explanation:

l = 5 in

w = 5 in

h = 12 in

Surface area of rectangular prism = 2*(lw +wh + hl)

 = 2*(5*5 + 5*12 + 12*5)

  = 2*(25 +60 +60)

  = 2*145

  = 290 in²

Answer:
290
An easy way to do it is 60 *4 because there are 4 rectangles = 240 and 25 *2 for the two squares =50
240+50=290
But u can also do it another way

15 ÷ 3 = Δ

Find the value of Δ.


A)
5


B)
12


C)
18


D)
45

Answers

Answer:

A)5 is the answer

Step-by-step explanation:

this is the answer

Answer:

A- 5

Step-by-step explanation:

15/3 = 5

There are six slices of cake left at the end of a party. If that was 2/9 of the total of the cake that the party began with, how many slices were in the cake to begin with? (enter you answer as a number only, no words) *

Answers

Answer:

27

Step-by-step explanation:

6 divided by 2/9=27

simplify x^2+(y-9)^2=

Answers

Answer: Simplify each term.

x^2+y^2−18y+81

Step-by-step explanation:

Find the hypotenuse of each Isosceles right triangle when the legs are of the given measure.
Given = 6squareroot2

Answers

Answer:

12

Step-by-step explanation:

We can use the pythagorean theorem giving us:

a^2+b^2=c^2

(6sqr2)^2 + (6sqr2)^2 = c^2

72+72=c^2

144=c^2

12=c

Which phrase represents this expression?

(47−17)×4


A. 4 times the difference of 47 and 17

B. 4 times the difference of 17 and 47

C. the difference of the product of 4 times 17 and 47

D. the difference of 47 and the product of 4 times 17

Answers

A. 4 times the difference of 47 and 17
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