Secant TQ and tangent TR intersect at point T. Chord SR and chord PQ intersect at point V. Find the values of x and y. If necessary, round to the nearest tenth.

Answers

Answer 1

Answer:

x=4, y=9.6

Step-by-step explanation:

Using Theorem of Intersecting Secant and Tangent

[tex]TP X TQ=TR^2[/tex]

[tex]9(9+12+x)=15^2\\9(21+x)=225\\189+9x=225\\9x=225-189\\9x=36\\x=4[/tex]

Next, we apply Theorem of Intersecting Chords

SV X VR=PV X VQ

5 X y = x X 12

Recall: x=4

5y=4 X 12

5y=48

y=48/5=9.6

Therefore: x=4, y=9.6

Secant TQ And Tangent TR Intersect At Point T. Chord SR And Chord PQ Intersect At Point V. Find The Values

Related Questions

QUESTION 1 What is the median of the data set? 23 19 13 11 17 19 18 12 17 19

Answers

Answer:

17.5

Step-by-step explanation:

First you need to put those numbers in order from least to greatest

second go from each side and count till you get to the middle 17 and 18

third add 17 + 18 = 35

fourth divid by 2 35/2 = 17.5

Hope this helps

Divya’s recipe calls for 3.25 pounds of beef, 0.65 pounds of onions, 0.2
pounds of potatoes, 0.15 pounds of tomatoes, and 0.33 pounds of asparagus.

How much will Divya pay for all the ingredients in the recipe? Show your work.

Answers

The beef price is $10.65

Onions price is $2.49

Potatoes are $3.29

Tomatoes are $8.45

Asparagus is $4.99

3.25 pounds of beef is          3.25 * 10.65 =  34.61

0.65 pounds of onions is      0.65 * 2.49   =  1.62

0.2 pounds of potatoes is     0.2 * 3.29     =  0.66

0.15 pounds of tomatoes is   0.15 * 8.45   =  1.27

0.33 pounds of asparagus is 0.33 * 4.99  =  1.65

Adding these up we get 34.61 + 1.62 + 0.66 + 1.27 + 1.65

This is equal to 39.81

                                           

A recipe is mixture of ingredients.

Divya will pay $39.81 for all the ingredients in the recipe.

The beef price is $10.65 per pound

So, price of 3.25 pounds of beef is ,  [tex]3.25 * 10.65 = 34.61[/tex]

Onions price is $2.49 per pound

So, price of 0.65 pounds of onions is,  [tex]0.65 * 2.49 = 1.62[/tex]

Potatoes are $3.29 per pound

So, price of 0.2 pounds of potatoes is ,  [tex]0.2 * 3.29 = 0.66[/tex]

Tomatoes price are $8.45 per pound.

So, price of 0.15 pounds of tomatoes is  , [tex]0.15 * 8.45 = 1.27[/tex]

Asparagus price is $4.99 per pound.

So, price 0.33 pounds of asparagus is , [tex]0.33 * 4.99 = 1.65[/tex]

Hence, total amount paid by Divya is,

             [tex]=34.61 + 1.62 + 0.66 + 1.27 + 1.65=39.81[/tex]

Thus, Divya will pay $39.81 for all the ingredients in the recipe.

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A cylindrical swimming pool has a height of 4 feet and a circumference of about 75.36 feet. What is the area of a vertical cross section through the center of the pool? Use 3.14 for π.

Answers

The area of a vertical cross-section through the center of the pool is 24 square feet for a cylindrical swimming pool having height of 4 feet and a circumference of  75.36 feet.

Area is the total space occupied by a 2D figure.

Given the following,

Height of the pool, h= 4 feet

Circumference of pool, C= 75.36 feet

C=2πrh

On substituting the values of h=4 and  π=3.14

[tex]75.36=2\times 3.14\times r\times 4\\\\[/tex]

[tex]r=\dfrac{75.36}{2\times 3.14\times 4}\\r=3[/tex]

Thus the given pool is of radius 3 feet.

Vertical cross-sectional area of a cylinder= Area of rectangle

Area of cross-section = Width*Height

Here for a cylindrical pool,

Width of cylindrical pool=2r=2*3

Width of cylindrical pool=6 feet

Height of cylindrical pool= 4 feet

Area of cross section =6*4

Area of cross section= 24 square feet

Thus, the cross-sectional area of a pool is 24 square feet.

Learn more about area, here:

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simple math

Sam is in charge of setting up rooms for parties at a hotel. On Saturday, there are two parties, one with 496 people and one with 784 people. Each table seats 8 people. How many total tables does he need for the two parties?

Answers

Answer:

160

Step-by-step explanation:

add the numbers together then divide by 8

The radius of a circle is 6mm. What is the area of the shaded portion of the circle.

Answers

The area of the shaded portion of the circle is [tex]\frac{29\pi}{3} \ mm^{2}[/tex]. The correct option is b) 29 π mm² got to station 3

Area of a sector

From the question, we are to determine the area of the shaded portion.

The shaded portion in the circle is the major sector.

The area of a sector is given by the formula,

[tex]A = \frac{\theta}{360 ^\circ} \times 2\pi r[/tex]

Where [tex]\theta[/tex] is the angle subtended by the sector

and r is the radius of the circle.

From the given information,

r = 6 mm

and [tex]\theta[/tex] is the angle subtended by the major sector

Therefore

[tex]\theta = 360^\circ - 70^\circ[/tex]

[tex]\theta = 290^\circ[/tex]

Putting the parameters into the formula, we get

[tex]A = \frac{290^\circ}{360 ^\circ} \times 2\pi \times 6[/tex]

Simplifying

[tex]A = \frac{29}{3} \tim\pi \ mm^{2}[/tex]

Hence, the area of the shaded portion of the circle is [tex]\frac{29\pi}{3} \ mm^{2}[/tex]. The correct option is b) 29 π mm² got to station 3

Lear more on area of a sector here: https://brainly.com/question/10090807

if the population is growing by 17% you will use 1.17 as your rate in the equation true or false

Answers

Answer:

False. 0.17

Step-by-step explanation:

3. Three less than twice a number is 15. What is the number?
a.
b.
x= -6
x=6
c. x=-9
d. x=9

Answers

Answer:

x =9

Step-by-step explanation:

Let x = be the number

2x -3 =15

Add 3 to each side

2x-3 +3 =15 +3

2x = 18

Divide each side by 2

2x/2 =18/2

x =9

Answer: [tex]x=-6[/tex]

Step-by-step explanation:

Three (3) less than (-) twice (2) a number (x) is (=) 15

[tex]3-2x=15[/tex]

[tex]-2x=15-3\\-2x=12\\x=\frac{12}{-2}\\ x=-6[/tex]

Sybil's desk is 65 centimeters long. She says her desk is 6.5 meters long. Complete the explanation of her error. Sybil may have confused the units, since 65 centimeters is 6.5 --------------------- The correct length of the desk in meters is ----------------------- because a centimeter is--------------- of a meter.

Answers

Answer:

Sybil may have confused the units, since 65 centimetres is 6.5 meters The correct length of the desk in meters is 0.65 because a centimetre is 0.01 of a meter.

Step-by-step explanation:

Her desk is actually 65 centimetre long . She made an error and conclude the length of her desk is 6.5 meter long. She made a mistake in her conversion .

1 centimetre = 0.01 meters

65 centimetres = ? meters

cross multiply

65 × 0.01 = 0.65  meters

A centimetre is equal to  0.01 meters. Therefore, using that conversion rate 65 centimetres will evaluate to 0.65 meters.  

The actual length of her desk in meters is 0.65. She made an error when converting her desk length from centimetres to meters.

Kim ate 10 apples and had 30 apples in the began

Answers

20 apples left
10 apples eaten

Answer:20 apples

Step-by-step explanation:

30-10=20

A school team won 15 out of 20 games. Express this as a ratio in lowest terms.

Answers

Answer:

3/4 or 3:4

Step-by-step explanation:

To express this as a ratio, we simply place 15 over 20

mathematically that would be;

15/20

divide numerator and denominator by 5

= 3/4

The simplified form of 3root45 - root 125 + root 500

Answers

Answer:

the answer and explanation is in the picture

please like and Mark as brainliest

hope this helps

What is the area of triangle MOL? 200 square units 250 square units 300 square units 500 square units

Answers

Answer:

300 square units

Step-by-step explanation:

explanation-because i just know

Answer:

300

Step-by-step explanation:

300 is correct

Just got it correct on Edge IYI

5/8 entre 1/4
Help me please

Answers

Yes I think 5/8 enter 1/4

Answer:

5/2

Step-by-step explanation:

5/8 ÷ 1/4

= 5/8 × 4

= 5/2

Gavin owes the bank $63,000. After 10 years, Gavin owes $93,255. Gavin knows the debt grows with an interest rate that compounds once every year. What is the rate of interest (as a percentage)?

Answers

Answer:

 1,616.60

we know that    

The compound interest formula is equal to  

where  

A is the Final Investment Value  

P is the Principal amount of money to be invested  

r is the rate of interest  in decimal

t is Number of Time Periods  

n is the number of times interest is compounded per year

in this problem we have  

substitute in the formula above  

Step-by-step explanation:

Solve y = x + 6 for x.



A. x = y + 6

B. x = -y + 6

C. x = y - 6

D. x = -y - 6

Answers

You answer is the second

Answer:

B: x = -y+6

Step-by-step explanation:

Since y = x+6:

Bring x and y to their opposite sides:

x = -y+6

I hope this helps and plz mark me brainliest!!

Find the circumference of a circle whose area is 24 ft2

Answers

Answer: [tex]17.33ft[/tex]

Step-by-step explanation:

We need to go from area to radius to circumference.

Formula for the area:

[tex]A=\pi r^2[/tex]

Solve for r;

Divide by pi

[tex]r^2=\frac{A}{\pi}[/tex]

Extract the square root.

[tex]r=\sqrt{\frac{A}{\pi} }[/tex]

Plug in the value of the area.

[tex]r=\sqrt{\frac{24ft^2}{3.14} } \\r=2.76ft[/tex]

Now that you've found the radius, use the circumference formula to calculate it.

[tex]C=2\pi r\\C=2(3.14)(2.76ft)\\C=17.33ft[/tex]

Los alumnos de una clase han formado 4 equipos para hacer un mural en una pared del patio. Los equipos tienen 8,7, 10 y 5 componentes. Si la pared mide 12 m de largo, ¿cuántos metros de pared le corresponde a cada equipo para que sea proporcional al número de componentes?

Answers

Answer:

8 - 3.2m

10- 4m

7- 2.8m

5- 2m

Step-by-step explanation:

Aquí, podemos hacer los componentes en forma de relaciones para conocer la longitud equivalente de cada uno de los componentes a la longitud total de la pared.

Ahora usando los componentes en forma de proporciones, tenemos 8: 7: 10: 5. sumando todos los componentes juntos, tenemos; 8 + 7 + 10 + 5 = 30.

Para 8, tenemos 8/30 * 12 = 3.2 metros

para 7, tenemos 7/30 * 12 = 2.8 metros

Para 10, tenemos 10/30 * 12 = 4 metros

para 5, tenemos 5/30 * 12 = 2 metros

Correct Answers only!

Use the formula i = prt, where i is the interest earned, p is the principal (starting amount), r is the interest rate expressed as a decimal, and t is the time in years.

Round your answer to the nearest cent.

Answers

Answer:

$12000

Step-by-step explanation:

Using the given formula :

I = P × R × T

I = 40000 × 15/100 × 2

I = $12000

out of 17,21,14,17,12,15,16 what is the mean?

Answers

Answer:

mean  is 16

Step-by-step explanation:

to find the mean of the data set u add up all the numbers and then u see how many number there are in total and u divided the solution of the sum and divided it by the total number of numbers.

17+21+14+17+12+15+16 = 112

then u see how many number there are and there are 7

112/7= 16

Find the length of the third side to the nearest tenth.

Answers

Answer:

What’s the third length?..

Step-by-step explanation:

The repairmen are fixing 9 cars 2 motorcycle and 6 trucks what is the ratio of cars to motorcycle?

Answers

Answer:

9:2

Step-by-step explanation:

Put in what we know

cars: motorcycles

9         2

The list below show test scores for 1st period on a recent test. Finding the mean deviation. 62 63 64 71 96 97 98 99 100 100

Answers

Answer:

16

Step-by-step explanation:

just use a mean absolute deviation calculator next time

What is the solution to the system of equations?
y = *x+3
X = -2
• (-2. -
15
• (-2, 4)
• 6-2.1

Answers

Answer:

(-2,1)

Step-by-step explanation:

The two equations cross at (-2,1). Hope this helps.

The radius of a sphere is multiplied by 7. What effect does this have on the volume of the sphere?
The volume of the sphere is multiplied by 373
B. The volume of the sphere is multiplied by a
C The volume of the sphere is multiplied by .
D. The volume of the sphere is multiplied by :
E. The effect on the volume of the sphere cannot be determined.

Answers

Answer:

The new volume is 7^3 or 343 times the old volume

Step-by-step explanation:

The original sphere has a volume of

V = 4/3 pi r^3

The radius is multiplied by 7

The new volume is

V = 4/3 pi (7r) ^3

V = 4/3 pi (7)^3 r^3

The new volume is 7^3 or 343 times the old volume

de
considerando AB =PQ. Na figura abaixo, para que os triângulos ABC e PQR sejam congruentes, os
valores de xe y devem ser
Y-3
2x + 1
Q
R
A) x = 2 e y = 12
B) x = 4 e y = 8
C) x = 5 e y = 2
D) x = 6 e y = 8

Answers

Answer:

The answer might be d.

An emergency plumber charges $65 as a call-out fee plus an additional $75 per hour. He arrives at a house at 9:30 am and works to repair a water tank. If the total repair bill is $195.25 at what time was the repair completed?

Answers

Answer:

Around 11:15 am

Step-by-step explanation:

Let h represents the number of hours the plumber works

Since the plumber charges $65 fee plus $75 per hour, the bill can be calculated by:

→ bill = 65 + 75h

Since the bill is $195.25

→ 195.25 = 65 + 75h

→ 75h = 130.25

→ h = 1.74

1.74 implies that the plumber worked almost 1 hour and 45 minutes. Since the plumber started at 9:30, the repair was completed around 11:15 am.

Help me it’s urgent

Answers

Answer:

∠GHJ and ∠IHJ

Answer:

[-10, 10]

This is an absolute value problem and numbers within the brackets are always seen as positive. [-10] = 10   and [10] = 10

Step-by-step explanation:

Jessie installed 12 more axles than the number of engine blocks her friend Gus installed yesterday. Write an equation for g, the number of engine blocks Gus installed yesterday.

Answers

Answer:

g = j - 12

Step-by-step explanation:

We know that if g is Gus' number of engine quantity, then j is Jessie's number of engine quantity, from this statement we have that Jessie made 12 more than Gus, therefore:

j = g + 12

if we solve for g:

g = j - 12

which is the same as saying that Gus made 12 number of engine less than Jessie

Answer:

g = x - 12

where x is the number of axles installed by Jessie

Step-by-step explanation:

Using a simple analogy. If a man has 7 cars while his friend has 3 cars, The statement may be written as the man has 4 cars more than his friend. The 4 cars being the difference between the number of cars he has and the number his friend has.

As such, if the number of engine blocks installed by Gus is g and Jessie installed 12 more axles than the number of engine blocks Gus installed yesterday, where Jessie must have installed x axles,

x = g + 12

Such that

g = x - 12

Which tree diagram shows all of the possible outcomes for tossing a coin and rolling a fair number pyramid that has four sides labelled 1 through 4?

Answers

The answer is D.

For a toss of heads you can have a roll of 1, 2, 3 or 4.

and for a toss of tails you could have a roll of 1, 2, 3, or 4

what is the answer to y+5=2(x+1)

Answers

Answer: y + 5 = 2 ( x + 1 ) = 2 x − y + 2 = 5

Answer:

 Slope = 4.000/2.000 = 2.000

 x-intercept = 3/2 = 1.50000

 y-intercept = -3/1 = -3.00000

Step-by-step explanation:

I hope this helped!

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