How do you find a line tangent to another line?

Answer:

24

Step-by-step explanation

bruh...

1. Divide 140 by 6 and you get 23.3 repeating

2. When you multiply 23 times 6 you get 138. (not enough seats)

3. So, you would need to have at least 24 cars in order for everyone to go on the trip. (24 x 6 = 144 seats)

Answer:

x = 22.5

Step-by-step explanation:

The tangent- secant angle x is half the difference of the measures of the intercepted arcs, that is

[tex]\frac{1}{2}[/tex] (4x + 5 - 50 ) = x ( multiply both sides by 2 )

4x - 45 = 2x ( subtract 2x from both sides )

2x - 45 = 0 ( add 45 to both sides )

2x = 45 ( divide both sides by 2 )

x = 22.5

Answer:

x/4+1

Step-by-step explanation:

Because it says one more than the quotient, we are dealing with addition and division. 1 more means plus 1.  The quotient of a number x and 4 means the answer to the division problem of x and 4. This means x/4. Then add all parts of the problem to get x/4 +1

Answer:

Step-by-step explanation:

-3x+3<6​

-3x=3

x=-1

Answer:

-1 or -x (Same thing...)

Step-by-step explanation:

6-3=3

3/-3=-x

-x=-1

-1

Answer:

Step-by-step explanation:

If a point (x, y) is rotated counterclockwise by the angles given in the table attached,

Rule for the rotation at an angle of 90° CCW about the origin,

(x, y) → (-y, x)

Rule for the rotation at an angle of 180° CCW about the origin,

(x, y) → (-x, -y)

Rule for the rotation at an angle of 270° CCW about the origin,

(x, y) → (y, -x)

Rule for the rotation at an angle of 360° CCW about the origin,

(x, y) → (x, y)

Angle of rotation         x'         y'

90°                               -y         x                          

180°                              -x        -y

270°                              y        -x

360°                              x         y

Answer:

Angle of Rotation (CCW) x′ y′

90°   −y x

180°  −x −y

270°   y −x

360°        x   y

Answer:

55 days

Step-by-step explanation:

Given

Jim ran 15 miles in 5 days

no. of miles ran in 5 days = 15 miles

dividing LHS and RHS by 5

no. of miles ran in 5/5(=1) days = 15/5 miles = 3 miles

no. of miles ran in 1 day =  3 miles

let the no. of days taken to run 165 miles be x   ----A

No of miles ran in x days = x*no. of miles ran in 1 day = 3x miles

thus,  From A

3x  = 165

x = 165/3 = 55

Thus, it took 55 days for JIM to run 165 miles

a) It is possible and it is the only proper value of angle 2

b) Explanation Below

Angle 1 adds to the two other internal angles to get 180

(angle1) + 30 + 42 = 180

angle1 + 72 = 180

angle1 = 180-72

angle1 = 108 degrees

Subtract this from 180 to find the measure of angle 2

angle2 = 180 - angle1

angle2 = 180-108

angle2 = 72

A shortcut is to use the remote interior angle theorem to add up the interior angles 30 and 42 to get 72 as our exterior angle that is not adjacent to any of the interior angles we just added. Hence the "remote" portion.

Answer:

The correct answer is x = 2.

Step-by-step explanation:

To solve this problem, we should first remember that in solving equations, our goal is to get the variable (in this case, x) by itself on one side of the equation.  To do this, we must divide both sides of the equation by 9 to get rid of the coefficient on the x term.  This is modeled below:

9x = 18

9x/9 = 18/9

x = 2

Therefore, the correct answer is x = 2.

To check your answer, you can always plug the value for x back into the equation.  For example, 9(2) = 18 is a true statement, so we know that we got the correct answer.

Hope this helps!

The value of x from the equation 9x = 18 is x= 2.

To find the value of x in the equation 9x = 18, we need to isolate x on one side of the equation.

To do that, we can divide both sides of the equation by 9:

(9x) / 9 = 18 / 9

Simplifying:

x = 2

Therefore, the value of x is 2.

We can also say that,

By dividing both sides of the equation by 9, we determined that when x is multiplied by 9, it equals 18, so x must be 2 in order for the equation to be true.

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Answer:

[tex]y=5^{x}\\y=5^{7}=78125[/tex]

Step-by-step explanation:

[tex]y = a^{x}, a=5\\y=5^{x}\\y=5^{0}=1\\y=5^{1}=5\\y=5^{2}=25\\y=5^{3}=125\\and\\y=5^{7} = 78125[/tex]

Answer:

[tex] \boxed{ \bold{ \huge{ \boxed{ \bold{ \sf{x = 2}}}}}}[/tex]

Step-by-step explanation:

[tex] \sf{2x + 14 = - 6 + 12x}[/tex]

Move 12x to left hand side and change it's sign

⇒[tex] \sf{2x - 12x + 14 = - 6}[/tex]

Move 14 to left hand side and change it's sign

⇒[tex] \sf{2x - 12x = - 6 - 14}[/tex]

Collect like terms

⇒[tex] \sf{ - 10x = - 6 - 14}[/tex]

Calculate

⇒[tex] \sf{ - 10x = - 20}[/tex]

Divide both sides of the equation by -10

⇒[tex] \sf{ \frac{ - 10x}{ - 10} = \frac{ - 20}{ - 10} }[/tex]

Calculate

⇒[tex] \sf{x = 2}[/tex]

Hope I helped!

Best regards!!

Answer:

5

Step-by-step explanation:

The degree of a polynomial simply means what the highest power of an variable is. In this case we see that y⁵ < y³ < y², so 5 would be our highest exponent and answer.

Answer:

[tex] \boxed{ \bold{ \huge{ \boxed{ \sf{5}}}}}[/tex]

Step-by-step explanation:

In the polynomial with one variable , highest power ( exponent ) is the degree of the polynomial.

In polynomial [tex] \sf{4 {y}^{3} + 3 {y}^{2} - {y}^{5} }[/tex]

The power of 4y in the first term = 3

The power of 3y in the second term = 2

The power of y in the third term = 5

Since, the highest power is 5 , the degree of the polynomial is 5 .

Hope I helped!

Best regards!!

Answer:

6

Step-by-step explanation:

Answer:

7 seconds

Step-by-step explanation:

784 divided by 4 is 196

Square root of 196 is 14

2 cm per second

7 times 2 equals 14.

It will take 7 seconds for the balloon to fully inflate.

784 divided by 4 is 196

The square root of 196 is 14

2 cm per second

7 times 2 equals 14.

Word problems normally include mathematical modeling questions, where records and information approximately a positive machine is given and a student is needed to expand a model. For example, Jane had $5.00, then spent $2.00. How much does she have now?

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Answer: The distance between (27, -8) and (15, -3) is 13 units.

Step-by-step explanation:

Use the distance formula to calculate the distance between these two points. Just by plugging in the given ordered pairs, you can simplify and solve down to get an answer of 13 units.

Answer:

  v ≈ (3.28512, 20.74146)

Step-by-step explanation:

  v = 21(cos(81°), sin(81°))

  v ≈ (3.28512, 20.74146) . . . . (x, y) components

The notation varies among authors. The vector can be written as ...

  (r, θ) = (21, 81°)

  r∠θ = 21∠81°

  r cis θ = 21 cis 81°

  v = 21·e^(i·9π/20)

  (x, y) ≈ (3.28512, 20.74146)

  v =  3.28512i +20.74146j . . . . perhaps this is the vector notation you want (i and j are unit vectors in the x- and y-directions, respectively)

Answer: 5 and 5/8

Step-by-step explanation: To write an improper fraction as

a mixed number, we divide the denominator into the numerator.

So in this problem, we divide 8 into 45.

8 divides into 45 five times with a remainder of 5.

Also, the denominator of the improper fraction

will become the denominator of the mixed number.

So we have 5 and 5/8

The fraction 45/8 is equal to the mixed fraction 5 5/8.

To convert the fraction 45/8 into a mixed fraction, follow these steps:

Step 1: Divide the numerator (45) by the denominator (8) to determine the whole number part of the mixed fraction.

45 ÷ 8 = 5 with a remainder of 5

Step 2: The quotient obtained in Step 1, 5, represents the whole number part of the mixed fraction. The remainder, 5, becomes the new numerator.

Step 3: Write the mixed fraction using the whole number, numerator, and denominator.

The mixed fraction is 5 5/8.

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Answer:

EF = 34

Step-by-step explanation:

EF + FG = EG , substitute values

17x + 3x + 7 = 18x + 11, that is

20x + 7 = 18x + 11 ( subtract 18x from both sides )

2x + 7 = 11 ( subtract 7 from both sides )

2x = 4 ( divide both sides by 2 )

x = 2

Thus

EF = 17x = 17(2) = 34

Answer:

34

Step-by-step explanation:

g First, you need to find the value of x. To do this you need to add the lengths of EF and FG and set it equal to the total length of EG, then solve.

EF=17x, FG= 3x+7, EG = 18x+11

17x+3x+7=18x+11

Combine like terms.

20x+7=18x+11

-7          -18x

Isolate x.

2x = 4

Divide both sides by 2.

x=2

Now that we have the value for x, we need to plug it into the length of EF to find the numerical value.

17x = 17(2) = 34

Answer:

We have the function y = k(x).

We want to define a new function p(x), such that is equal to k(x) but translated down 3 units.

When we have a general case of a function y = f(x), the function g(x) = f(x) + A is a translation of A units up (if A is positive) or A units down (if A is negative).

Then if we want to go 3 units up, we should have:

p(x) = k(x) + 3.

So now our points are:

(x, y) = (x, p(x)) = (x, k(x) + 3)

So for all the points the y-coordinate has ben mooved 3 units up.

Answer:

see explanation

Step-by-step explanation:

Under a reflection in the line y = - x

a point (x, y ) → (- y, - x ), thus

T(- 1, 3 ) → T'(- 3, 1 )

U(- 1, 10 ) → U'(- 10, 1 )

V(- 2, 4 ) → V'(- 4, 2 )

Answer:

the answer is f(5) = 110..

Answer:

the solution is C. identical

Step-by-step explanation:

slope of parallel lines are the same

Answer:

the slopes of parallel lines are : C. identifical

Answer:

x + y + z = 360

Answer:

x + y + z = 360°

Step-by-step explanation:

I presume that the attached image is what you are trying to achieve.

x + y + z = 360°

Answer:

The correct expression should be..

5x^2+3x

Step-by-step explanation:

You want to add the variables of the same kind like put all the numbers together, x^2 together, and the x in one too.

-10       1x^2         2x

+10       1x^2         1x

+5         1x^2

+5         2x^2

-10

___________________

0            5x^2         3x

Answer:

Step-by-step explanation:

Bob: 8x

Josh: 4x

Ralph: x

8x + x = 180

9x = 180

X= 20

Josh:

X = 20

Multiply it by 4

X =80

Josh spent $80

The amount of money spent by Bob, Josh, and Ralph will be $160, $80, and $20.

A linear system is one in which the parameter in the equation has a degree of one. It might have one, two, or even more variables.

During a vacation together, Bob spent twice as much as Josh, who spent four times as much as Ralph.

Let x be the amount of money spent by Ralph.

Then Bob spent 8x and Josh spent 4x.

If Bob and Ralph together spent $180. Then the equation will be

8x + x = 180

     9x = 180

       x = 180 / 9

       x = $20

Then the money spent by Bob and Josh will be

Bob = 8x = 8 × 20 = $160

Josh = 4x = 4 × 20 = $80

Then the amount of money spent by Bob, Josh, and Ralph will be $160, $80, and $20.

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Answer:

A) exactly one solution-(-1/6,0)

Step-by-step explanation:

6x-y=-1

6x+y=-1

First, use elimination and cancel out the y-values:

you would get: 12x=-2

Divide both sides by 12: (12x/12)=(-2/12)--x=-1/6

x=-1/6

Now, subtitute the x-value into tje first equation to find the y-value:

6(-1/6)-y=-1

-1-y=-1

-1+1-y=-1+1

-y=0

-y/-1=0/-1

y=0

y=0

Answer:

Step-by-step explanation

:14-17

negative 26