study the diagram of circle K where JL and LM are tangent to circle K at points J and M respectively. Also JL=3x+10 and ML =7x-6

Step-by-step explanation:

sides of 2 triangles are proportional

x/12=28/21

x=16

=======================================================

Explanation:

The diagonal pieces are 28 and 21. They pair up to get the fraction 28/21

The horizontal pieces are x and 12, in the same order from left to right. The order is important (so things pair up properly). We get the fraction x/12

-------

Set the two fractions equal to each other and solve for x

28/21 = x/12

28*12 = 21*x .... cross multiply

336 = 21x

21x = 336

x = 336/21 .... divide both sides by 21

x = 16

Answer:

6, 0, 10

b

Step-by-step explanation:

Answer:

x = 1 , y = 7

Step-by-step explanation:

Solve the following system:

{y = 5 x + 2 | (equation 1)

3 x = 10 - y | (equation 2)

Express the system in standard form:

{-(5 x) + y = 2 | (equation 1)

3 x + y = 10 | (equation 2)

Add 3/5 × (equation 1) to equation 2:

{-(5 x) + y = 2 | (equation 1)

0 x+(8 y)/5 = 56/5 | (equation 2)

Multiply equation 2 by 5/8:

{-(5 x) + y = 2 | (equation 1)

0 x+y = 7 | (equation 2)

Subtract equation 2 from equation 1:

{-(5 x)+0 y = -5 | (equation 1)

0 x+y = 7 | (equation 2)

Divide equation 1 by -5:

{x+0 y = 1 | (equation 1)

0 x+y = 7 | (equation 2)

Collect results:

Answer: {x = 1 , y = 7

Answer:

D) (1,7)

Step-by-step explanation:

just took the test

Answer:

Their speed is 32 km/h.

Step-by-step explanation:

Since they're at the same speed, we can assign a variable to their speed called "x". When the first car increases its speed by 1 km/h, its new speed is "x + 1", while the other car decreases its speed by 10 km/h, so its new speed is "x - 10". The distance's formula can be expressed as below:

[tex]\text{distance} = \text{speed}*\text{time}\\[/tex]

With the modifications to their speed, the distance the first car covers in 2 h and the distance the second car covers in 3 h is shown below:

[tex]\text{distance}_{car1} = (x + 1)*2 \\\text{distance}_{car1} = 2*x + 2[/tex]

[tex]\text{distance}_{car2} = \text{speed}*\text{time}\\\text{distance}_{car2} = (x - 10)*3\\\text{distance}_{car2} = 3*x - 30[/tex]

Since the distance covered by them must be the same, we can find the value of x that makes the expressions equal.

[tex]2*x + 2 = 3*x - 30\\2*x - 3*x = -30 -2\\-x = -32\\x = 32[/tex]

Their speed is 32 km/h.

Answer:

(a) 6

(b) 14

Step-by-step explanation:

Answer:  (a) 6

               (b) 14

Step-by-step explanation:

Let a represent the unknown digit for Chinese --> 70 + a

Let b represent the unknown digit for Mathematics --> 80 + b

Total scores ÷ Total number of tests = Average

[tex]\dfrac{78 + (70 + a) + (80 + b) + 62}{4}=76\\\\\\\dfrac{290 + a + b}{4}=76\\\\\\290 + a + b=304\\\\\\a+b=14[/tex]

The two digits must add up to 14.

The only options are: (9,5), (8,6), (7,7), (6,8), and (5,9),

            Mathematics   -   Chinese  

(9, 5)          89              -         75       =      14       LARGEST Difference

(8, 6)          88              -         76       =      12

(7, 7)          87              -          77       =      10

(6, 8)          86              -         78       =       8

(5, 9)          85              -         79       =       6      SMALLEST Difference

Answer:

I think the answer is it stretches the graph horizontally by a factor of 3.

Step-by-step explanation:

Answer: it stretches the graph horizontally by a factor of 3

Step-by-step explanation: I got it correct on a-pex

Answer:

575 boxes

Step-by-step explanation:

Let the total number of boxes = x

The farmer already loaded [tex]\dfrac25[/tex] of the boxes onto the truck.

Therefore, the remainder [tex]=1-\dfrac25=\dfrac35[/tex]

Since he needed to load 345 more boxes of tomatoes onto the truck.

[tex]\dfrac35 \times x =345\\3x=345\times5\\x=(345\times5) \div 3\\x=575[/tex]

The farmer had 575 boxes of tomatoes to load altogether.

Answer:

see explanation

Step-by-step explanation:

cscΘ = [tex]\frac{hypotenuse}{opposite}[/tex] = [tex]\frac{25}{7}[/tex]

secΘ = [tex]\frac{hypotenuse}{adjacent}[/tex] = [tex]\frac{25}{24}[/tex]

cotΘ = [tex]\frac{adjacent}{opposite}[/tex] = [tex]\frac{24}{7}[/tex]

Answer:

Not True

Step-by-step explanation:

>_<

[tex]\text{To find your answer, plug in the values to the equation and solve:}\\\\3(2)-2(-1)=13\\\\\text{Solve:}\\\\3(2)-2(-1)=13\\\\6+2=13\\\\8=13\\\\\text{8 does not equal 13, therefore making the equation FALSE}\\\\\boxed{\text{False}}[/tex]

Answer:

4 x minus 3 y = 16. 8 x minus 6 y = 34 has no solution

Step-by-step explanation:

Examine the system

2 x + 8 y = 15

4 x + 16 y = 30

We see that these equations are identical except for a factor of 2, and thus recognize that this system has infinitely many solutions.

Next, look at the system

2 x minus y = 18

4 x + 2 y = 38

If we divide the second equation by 2, we get the system

2x - y = 18

2x + y = 19

Combining these two equations, we get 4x = 37, which has a solution.

Third, analyze the system

4 x + 7 y = 17                =>  8x + 14y = 34

8 x minus 14 y = 36      => 8x - 14y  = 36, or 16x = 70, which has a solution

Finally, analyze the system

4 x minus 3 y = 16    => -8x + 6y = -32

8 x minus 6 y = 34   =>  8x  - 6y  = 34

If we combine these two equations, we get 0 + 0 = 2, which is, of course, impossible.  This system has no solution.

Answer:

4 x minus 3 y = 16. 8 x minus 6 y = 34 has no solution. the 4th option.

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

First you find which line is which.

The one with 5x in it is the steepest one, and we have to be above it due to the >.

The one with 2x in it is the least steep, and we have to be below it due to the <.

Graph C satisfies both these restrictions.

Answer:

As color is simply the kind of light reflected by surfaces(if the sun was green, many plants would die), color can be explained fairly simply to a blind person.  Each color represents a separate wavelength, and objects that reflect these wavelengths show up in various colors.  Thus simply state the following: The color blue is displayed by all objects that reflect wavelengths from 380 and 500 nanometers.

Hope it helps <3

p.s. I know this is supposed to be kind of philosophical, but I'm a nerd, so...

Answer:

$10.67

Step-by-step explanation:

Jennifer has a total amount of $80 to buy what she needs

1/5 of the money is spent on sandwich

= 1/5×80

= $16

The amount spent on sandwich is $16

1/6 of the money is spent on tickets to a museum

= 1/6×80

= 0.166×80

= $13.33

The amount spent on tickets is $13.33

1/2 of the money is spent on a book

= 1/2×80

= 0.5×80

= $40

The amount spent on a book is $40

Therefore, to calculate the amount left on her we add the total money spent and subtract it from the original amount of money that she has to spend

= $80-$16+$13.33+$40

= $80-$69.33

= $10.67

Hence the amount of money left on Jennifer is $10.67

Answer:

3

Step-by-step explanation:

6/2

I hope this is right :)

Answer:

19/40

Step-by-step explanation:

just divide the number of girls by the total number of students.

323/680 = 19/40 or 0.48

Answer:

B. 7

Step-by-step explanation:

Answer:

6, 10, 8 is the correct answer.

Step-by-step explanation:

Given that, the recursive function:

[tex]a_n=a_{n-1}-(a_{n-2}-4)[/tex]

6th term, [tex]a_{6} =0[/tex]

5th term, [tex]a_{5} =-2[/tex]

To find:

First three terms of the sequence = ?

Solution:

Putting n = 6 in the recursive function:

[tex]a_6=a_{5}-(a_{4}-4)\\\Rightarrow 0=-2-(a_{4}-4)\\\Rightarrow 2=-(a_{4}-4)\\\Rightarrow -2=(a_{4}-4)\\\Rightarrow -2+4=a_{4}\\\Rightarrow a_{4}=2[/tex]

Putting n = 5 in the recursive function:

[tex]a_5=a_{4}-(a_{3}-4)\\\Rightarrow -2=2-(a_{3}-4)\\\Rightarrow -2-2=-(a_{3}-4)\\\Rightarrow 4=(a_{3}-4)\\\Rightarrow a_{3}=8[/tex]

Putting n = 4 in the recursive function:

[tex]a_4=a_{3}-(a_{2}-4)\\\Rightarrow 2=8-(a_{2}-4)\\\Rightarrow 2-8=-(a_{2}-4)\\\Rightarrow 6=(a_{2}-4)\\\Rightarrow a_{2}=10[/tex]

Putting n = 3 in the recursive function:

[tex]a_3=a_{2}-(a_{1}-4)\\\Rightarrow 8=10-(a_{1}-4)\\\Rightarrow 8-10=-(a_{1}-4)\\\Rightarrow -2=-(a_{1}-4)\\\Rightarrow 2=a_{1}-4\\\Rightarrow a_{1}=4+2\\\Rightarrow a_{1}=6[/tex]

So, first, second and third terms are 6, 10, 8.

Answer:

$6

Step-by-step explanation:

Tico’s taco truck is trying to determine the best price at which to sell tacos, the only item on the menu, to maximize profits. The taco trucks owner decided to adjust the price per taco and record data on the number of tacos sold each day with each new price. When the taco truck charges $4 for a taco, it sells an average of 60 tacos in one day. With every $1 increase in the price of a taco, the number of tacos sold per day decreases by 7.

The owner can calculate the daily revenue using the polynomial expression (-7x²+32x+240),

where x is the number of $1 increases in the taco price. In this activity, you’ll interpret and manipulate this expression and the scenario it represents.

x is number of $1 increments above the initial price of $4.  (x=0 means a price of $4, x=1 means a price of $5, etc.)

The revenue is -7x²+32x+240.  The average number of tacos sold is the revenue divided by the price.

For example, if x = 0, then the taco price is $4, the revenue is $240, and the number of tacos sold is 60.

If x = 1, then the taco price is $5, the revenue is $265, and the number of tacos sold is 53.

Each time x increases by 1, the number of tacos sold decreases by 7.

Continuing:

[tex]\left[\begin{array}{cccc}Value\ of\ x&Taco\ Price\ (\$)&Average\ Number\ of\ Tacos\ Sold&Daily\ Revenue\ (\$)\\0&4&60&240\\1&5&53&265\\2&6&46&276\\3&7&39&273\\4&8&32&256\\5&9&25&225\\6&10&18&180\end{array}\right][/tex]

The optimal price is $6.  At this price, the revenue is a maximum at $276.

Answer:

(-10,0)

Step-by-step explanation:

Hello

this is (-10,0) point

because f(-10)=0

hope this helps

Answer:

26sqrt(3)

Step-by-step explanation:

You end up with two 30-60-90 triangles.

26/2 = 13

2 * 13 * sqrt(3) = 26sqrt(3)

Answer:

See bolded / underlined / italicized below -

Step-by-step explanation:

This is a great question!

If x were the length of this rectangle, then we could conclude the following,

2( 38 ) + 2( x ) > 692,

As you can see there is a greater than sign present, as the perimeter is at least 692 centimeters. In this case the perimeter is given to be at least 692 centimeters, but can also be calculated through double the width and double the length together. And of course we are given the width to be 38 cm -

2( 38 ) + 2x > 692,

76 + 2x > 692,

2x > 616,

x > 308

Solution = Length should be at least 308 cm

( The attachment below is not drawn to scale )

Answer:  5.  P = (-4, 6)   R = (-4, -4)

               6. (a) a = 4, b = 3      (b) BC = 8     (c) B = (3, 4)

               7. (a) m = 4, n = 6     (b) PQ = (-2, 6)     (c) SR = (2, -6)

Step-by-step explanation:

5. The distance from Q (4, 0) to A (0, 3) is 4 left and up 3.

   So the distance from A to P is 4 left (0 - 4) and up 3 (3 + 3)

   --> P = (-4, 6)

    Similarly, the distance from Q (4, 0) to B (0, -2) is 4 left and down 2.

   So the distance from A to P is 4 left (0 - 4) and down 2 (-2 - 2)

   --> P = (-4, -4)

6. Follow the same steps as #5 (above) to get the following coordinates:

   A = (-3, 4)   B = (3, 4)

   D = (-3,-4)  C = (3, -4)

a) a = 4, b = 3

b) BC = 2(4) = 8

c) B = (3,4)

7. Follow the same steps as #5 (above) to get the following coordinates:

   P = (-4, 6)    Q = (0, 6)

   S = (0, -6)    R = (4, -6)

a) m = 4, n = 6

b) midpoint PQ = (-2, 6)

c) midpoint SR = (2, -6)

Answer:

$850.7

Step-by-step explanation:

Penelope has $1459.75 in her account.

She pays different amount that are given above.

i.e.

=1459.75-200.25-359.45-125-299.35

=475.7

Then she deposit $375

Now,

=475.7+375

=850.7

So, She has $850.7 in her account after she pays her bills and makes deposits.

Answer:

$805.7 OwO

Step-by-step explanation:

Answer:

B.12.32

Step-by-step explanation:

From the first information we can write :

3y-x=2

from the second one :

2y+2x= 92

so our equation are :

Multiply the first one by 2 then add it to the second one to get rid of x :

Answer:

Hyperbola

Step-by-step explanation:

When the two napes of a cone are intersected by a plane, the resulting curve is that of the two branches of a hyperbola. See attached image.

Answer: 536,000

Step-by-step explanation:

Answer:

536 000

Step-by-step explanation:

because it izz what it izz