Find the measure of line segment TR​

Find The Measure Of Line Segment TR

Answers

Answer 1

Answer:

17

Step-by-step explanation:

Answer 2

Answer:

TR = 24 units

Step-by-step explanation:

Given 2 secants from an external point to a circle, then

The product of the external part and the whole of one secant is equal to the product  of the external part and whole of the other secant, that is

3x(3x + 5x) = 8(8 + 19)

3x × 8x = 8 × 27

24x² = 216 ( divide both sides by 24 )

x² = 9 ( take the square root of both sides )

x = ± [tex]\sqrt{9}[/tex] = ± 3

but x > 0, thus x = 3

Thus

TR = 8x = 8 × 3 = 24


Related Questions

What is the solution to the equation?
2/3 a - 1/6 = 1/3

Answers

Answer:

a = [tex]\frac{3}{4}[/tex]

Step-by-step explanation:

When working with fractions, I would mostly like to make the denominators the same first.  

[tex]\frac{2}{3}[/tex]a - [tex]\frac{1}{6}[/tex] = [tex]\frac{1}{3}[/tex]

Make all the denominators 6.

[tex]\frac{4}{6}[/tex]a - [tex]\frac{1}{6}[/tex] = [tex]\frac{2}{6}[/tex]

Isolate [tex]\frac{4}{6}[/tex]a.

[tex]\frac{4}{6}[/tex]a = [tex]\frac{2}{6}[/tex] + [tex]\frac{1}{6}[/tex]

   = [tex]\frac{3}{6}[/tex]

Find a.

[tex]\frac{6}{6}[/tex]a = [tex]\frac{6}{4}[/tex] × [tex]\frac{3}{6}[/tex]

a = [tex]\frac{3}{4}[/tex]

12. Stephanie dilated the rectangle and the
dimensions of the image were 24 feet by 6 feet.
What was the scale factor used?

Answers

Answer:

The scale factor should be 4

Step-by-step explanation:

sry if it is wrong i needed pionts and had the same problem hope this helps though ((((P:))))))

Answer:

3/4...............

Step-by-step explanation:

have a nice day

Concept Check The table represents a linear function f. (a) Find the slope of the graph of y = f(x). (b) Find the y-intercept of the line. (c) Write an equation for this line in slope-intercept form. X -2 -1 0 1 2 3 y -11 -8 -5 -2 1 4​

Answers

The slope of the graph of y = f(x) is 3

The y-intercept of the line = -5

Equation for the line in slope - intercept form is y = 3x - 5

Given table of linear function is:

x     |    y

-2      -11

-1        -8

0       -5

1        -2

2         1

3        4

Slope = Change in y values/ Change in x-values

          = -8 --11/-1--2 = 3

Also -5 --8/0--1 =3, -2--5/1-0 = 3, 1--2/1-0 = 3, 4-1/3-2 = 3

So the slope is constant and is m = 3.

y-intercept is the y-value corresponding to when x = 0.

Here, when x = 0, y = -5.

So the y-intercept, c = -5

The equation for the linear function in slope-intercept form is,

y = mx + c , where m is the slope and c, the y-intercept of the function.

So here, the slope-intercept form of the function is,

y = 3x - 5

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Find the 45th term of the arithmetic sequence has the first term = -3 and d = 2.

Answers

Answer:

45th term is 85

Step-by-step explanation:

We use the definition of the nth term of an arithmetic sequence:

[tex]a_n=a_1+(n-1)\,d[/tex]

which for our case gives:

[tex]a_n=a_1+(n-1)\,d\\a_n=-3+(45-1)\,2\\a_n=-3+44*2\\a_n=-3+88\\a_n=85[/tex]

What's equivalent to 2/5 divided by 6

Answers

1/3, 3/9 and 4/12 are equivalent

Subtract

3-9 = ???????

Answers

Answer:

-6

Step-by-step explanation:

-6 is the correct answer

John eats 3/8s of a pizza one day, 1/4 the next day. Can he eat half the next day? Use addition or
subtraction to justify your answer

Answers

By using addition and subtraction, we get that, John cannot eat half that is 4 / 8 of the pizza the next day.

Let the total pizza be 1.

On the first day, the fraction of pizza that John ate = 3 / 8

On the next day, the fraction of pizza that John ate = 1 / 4

Total pizza that John ate till now will be calculated using addition:

3 / 8 + 1 / 4

3 / 8 + 2 / 8

5 / 8

Now, the pizza that is left will be calculated by subtracting the pizza that he ate from the total pizza that he had.

1 - 5 / 8

8 / 8 - 5 / 8

3 / 8

We can see that the half pizza is not left.

So, he cannot eat half that is 1 / 2 or 4 / 8 pizza the next day.

Therefore, by using addition and subtraction, we get that, John cannot eat half that is 4 / 8 of the pizza the next day.

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Rachel is saving money to buy a game. So far she has saved $30, which is two-thirds of the total cost of the game. How much does the game cost?

Answers

Answer:

45

Step-by-step explanation:

2/3 of 45 is 30

The length of a rectangular garden is 8 feet longer than its width. The garden's perimeter is 208 feet. Find the length of the garden.

Answers

Answer:

The Length is 56 feet

Step-by-step explanation:

w + w + 8 + w + 8 + w = 208  (two sides have a width of w and 2 sides have the length of 8 + w)

Combine the w/s and the 8's

4w + 16 = 208  Subtract 16 from both sides of the equation

4w = 192  Divide both sides by 4

w = 48  The width is 48 feet.  That means that the length is 8 feet longer or 56 feet.

Check:

48 + 48 + 56 + 56 = 208

208 = 208

-7 ___ 3 what is the answer

Answers

Answer:

-7 + 10 = 3

Step-by-step explanation:

What percentage of those who took the test in 2018 were from the Americas (either Canada, the United States, Mexico, the Caribbean, or Latin America)? Give your answer to one decimal place

Answers

Based on the percentage that took the test from Canada, the United States, the Caribbean and Latin America, the percentage who took the test in 2018 from the Americas was 35.90%.

How to find the percentage who took the test?

The total percentage of people who took the test in 2018 from the Americas can be found as:

= Percentage from Canada + United States + Mexico, the Caribbean, or Latin America

= 2.4% + 30.3% + 3.2%

= 35.90%

The rest of the question is:
The Graduate Management Admission Test (GMAT) website provides the following information about the geographic region of citizenship of those who took the test in 2018: 1.9% were from Africa; 0.3% were from Australia and the Pacific Islands; 2.4% were from Canada; 14.3% were from Central and South Asia; 36.1% were from East and Southeast Asia; 1.7% 1 were from Eastern Europe; 3.2% were from Mexico, the Caribbean, and Latin America;

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last year lien earned $1,300 more then get husband. together they earned $58,600. how much did each of them earn?​

Answers

Answer: Lien earned 1,300
Husband earned 57,300

Explanation: 58,600-1,300 would give you 58,300 which would be the husbands money.

Answer:

lien earned 29950, husband earned 28650

Step-by-step explanation:

you subtract 1300 from the total then divide by 2 and add the 1300 to liens half.

An 11 pound turkey costs
$15.00, while the 20 pound
turkey is on sale for $25.00.
Which is the better buy?

Answers

Answer:

11 pound turkey

Answer:

the 11 pound turkey its not that expensive than the other one

How many hours in 7 1/3 days.​

Answers

176 hours
Hope this helps!
176 hours is the answer i needed extra points :)

Go step by step to reduce the radical. √192

Answers

Answer: 8√3.

Step-by-step explanation:

First, look for any perfect squares that can fit into 192 snugly.

If we look for factors of 192, we can discover that the largest perfect square that can fit into it is 64 (and 3).

The √ of 64 is 8.

The √ of 3 cannot be simplified any further.

Thus, leaving us with our answer of 8√3.

You will be a hero!

The listing price for Candy Cane Creek is $864, 550. But your houses aren’t selling!! You decide to DROP the list price by 10%. What is the NEW listing price?

Answers

Answer: It's me again ;) The answer is 778,095

Step-by-step explanation: Find 90% of 864,550.

Answer:

I found out there has to be more than one answer to mark someone brainliest so this is me from another account!  

Step-by-step explanation:

1 inch equals 2.54 cm how many inches long is 45.72 centimeters​

Answers

Answer:

18 inches equals 45.72 centimeters

Step-by-step explanation:

[tex]1/2.54 = 0.39\\0.39*45.72=18[/tex]

Find the equation of the circle that passes through the points (7, 3) and (11, −1) and has its centre lying on the line 2x + y = 7.

Answers

The equation of the circle that passes through the given points and has its center lying on this line 2x + y = 7 is equal to x² + y² - 10x + 6y - 6 = 0.

The equation of a circle.

Mathematically, the standard form of the equation of a circle is given by;

(x - h)² + (y - k)² = r²

Where:

h and k represents the coordinates at the center.r represents the radius of a circle.

How to determine the equation of this circle?

Assuming the center of this circle lies at (h, k), then we have the following expressions that models the distance from the center of the given circle:

(h - 7)² + (k - 3)² = (h - 11)² + (k - (-1))²

(h - 7)² + (k - 3)² = (h - 11)² + (k + 1)²

(h - 7)² - (h - 11)² = (k + 1)² - (k - 3)²

(h - 7 + h - 11)(h - 7 - h + 11) = (k + 1 + k - 3)(k + 1 - k + 3)

(2h - 18)(4) = (2k - 2)(4)

8h - 72 = 8k - 8

8h - 8k = 64

h - k = 8         .......equation 1.

Since (h, k) lies at 2x + y = 7, we have:

2h + k = 7       .......equation 2.

Solving eqn. 1 and eqn. 2 simultaneously, we have:

h - k = 8

2h + k = 7

3h = 15

h = 15/3

h = 5.

For the value of k, we have:

h - k = 8

5 - k = 8  

k = 5 - 8

k = -3.

Next, we would determine the radius of this circle:

Radius, r² = (h - x)² + (k - y)²

Radius, r² = (5 - 7)² + (-3 - 3)²

Radius, r² = (-2)² + (-6)²

Radius, r² = 4 + 36

Radius, r = √40.

Now, we can write the equation of this circle:

(x - h)² + (y - k)² = r²

(x - 5)² + (y - (-3))² = 40

(x - 5)² + (y + 3)² = 40.

x² - 5x - 5x + 25 + y² + 3y + 3y + 9 - 40 = 0

x² - 10x + 25 + y² + 6y - 31 = 0

x² - 10x + y² + 6y - 6 = 0

x² + y² - 10x + 6y - 6 = 0.

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Write all of the trips that would take 2 hours. Show your work.

a. Drive 60 miles per hour between Buffalo and Seneca Falls, which are 120 miles apart.
b. Walk 3 miles per hour to school, which is 1.5 miles away.
c. Take a train going 80 miles per hour from Albany to New York City, which are 160 miles apart.

Answers

Answer:

120divide by2=60

3miles only

160 divide by 80=2 hrs

Step-by-step explanation:

A TV has a listed price of 659.99$ before tax. If the sales tax rate is 8.25%, find the total cost of the TV with sales tax included

Answers

Answer:

714.439

Step-by-step explanation:

You multiply 659.99 • 1.0825

The 1 is so that you don’t have to add later. The .0825 is your percentage. Hope this helps.

find the average rate of change of
f(x) on the interval

Answers

The average rate of change of f(x) = 1/(x + 12) on the given interval is expressed as: [tex]\frac{-1}{19(h + 19)}[/tex]

How to Find the Average Rate of Change?

Given the function, f(x) = 1/(x + 12), the average rate of change of f(x) on the interval, [7, 7 + h], can be calculated using the formula:

Average rate of change = f(b) - f(a)/b - a.

a = 7

f(a) = f(7) = 1/(7 + 12) = 1/19

b = 7 + h

f(b) = f(7 + h) = 1/(7 + h + 12) = 1/(h + 19)

Plug in the values into the average rate of change formula

Average rate of change = 1/(h + 19) - 1/19 ÷ 7 + h - 7

Average rate of change = [19 - (h + 19)]/19(h + 19) ÷ h

Average rate of change = (19 - h - 19)/19(h + 19) × 1/h

Average rate of change = -h/19(h + 19) × 1/h

Average rate of change = -1/19(h + 19) × 1/1

Average rate of change = [tex]\frac{-1}{19(h + 19)}[/tex]

Therefore, the average rate of change of f(x) = 1/(x + 12) on the given interval is expressed as: [tex]\frac{-1}{19(h + 19)}[/tex].

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© Solve for x
5(x – 4) = -50
х

Answers

Answer:

x = - 6

Step-by-step explanation:

Let's do this quickly,

5(x – 4) = -50

5x - 20 = -50

5x = -50 + 20

x = - 30/5

x = -6

Write the following multiplication using exponents 9•9•9•9•9•9

Answers

Answer:

9⁶

Step-by-step explanation:

9 is the number you are multiplying

6 is how many times you are multiplying the 9

Answer:9^6

Step-by-step explanation:

count  each time 9 is times to get the answer.

The table shows four account transactions. Find the account balance after the transactions when the account started with a balance of $55. withdrawal $-25 deposit $125 withdrawal -$50 deposit $25 ​

Answers

Answer:

90

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

solve -8x greater than or equal to
2

Answers

Answer:

[tex]x \leq -\frac{1}{4}[/tex]

Step-by-step explanation:

Write it out: -8x ≥ 2Divide each side by -8 to cancel out the -8 next to x. It should now look like this: [tex]x \leq -\frac{1}{4}[/tex]  

I hope this helps!

convert 4.7 in. to centimeters and round to the nearest tenth

Answers

Answer:

11.9 cm

Step-by-step explanation:

1 in ≈ 2.54 cm

4.7 in ≈ 2.54(4.7) cm

2.54(4.7) = 11.938 cm

11.938 cm rounded to the nearest tenth is 11.9 cm.

Answer: 11.9

Step-by-step explanation:

The conversion rate is 1 inch to 2.54 centimeters. Using this we can setup the equation [tex]4.7 in * \frac{2.54 cm}{1 in}[/tex]. The inches units will cancel and you will end up with 11.938 cm. Rounded to the nearest tenth and you get 11.9.

Can someone please help me with the answer and explanation?

Answers

Answer: c.

Step-by-step explanation: An Irrational Number is a real number that cannot be written as a simple fraction

A hospital needs a supply of an expensive medicine. Company A has the most supply available, 1.7 milligrams, which is twice
the difference between the weight of Company B's supply and Company C's, and 0.9 milligram more than Company C's supply.How many milligrams can the hospital get from these three companies?

Answers

The hospital can get 4.15 milligrams from these three companies.

A linear equation is one in which the highest power of any variable is not more than 1. A linear equation in 2 variables can be solved by substitution method, if we have two simultaneous equations.

Here, we know that

Company A's supply of medicine = 1.7 mg

also, company A's supply = 2( B's supply - C's supply)

⇒ 1.7 = 2( B - C)

⇒ 1.7 = 2B - 2C .... (1)

Moreover, we are given that

A's supply = C's supply + 0.9

⇒ 1.7 = C + 0.9

⇒ 1.7 - 0.9 = C

⇒ 0.8 = C

Now, substituting the value of C in (1), we get,

1.7 = 2B - 2(0.8)

1.7 = 2B - 1.6

1.7 + 1.6 = 2B

⇒ B = 3.3/2

B = 1.65

Thus, the total supply from all three companies is (1.7 + 1.65 + 0.8) = 4.15 mg

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help fill in the chart​

Answers

Could you please take a better picture I can’t really see it

You can drive your car 21.7 miles with one gallon of gasoline. At that rate, how many miles can you drive with 13.2 gallons of gasoline?
PLEASE ANSWER ASAP

Answers

Answer:

286.44 miles........

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