What angle relationships can be used to prove that two lines intersected by a transversal are parallel?

9514 1404 393

Answer:

  { (-441/23, 433/23) }

Step-by-step explanation:

The "cross-multiplication method" is usually shown as follows:

1. rewrite the equations in general form: ax +by +c = 0

2. write the coefficients in two row in the order b, c, a, b.

3. form three products, each being the number in the first row times the number to its right in the second row. That is, b1·c2, c1·a2, a1·b2

4. form three more products, each being the number in the second row times the number to its right in the first row. That is, b2·c1, c2·a1, a2·b1

5. form three differences, subtracting the products of step 4 from those of step 3. Call these differences d1, d2, d3. (For example, d1=b1c2-b2c1.)

6. The values of x and y satisfy the equations ...

  x/d1 = y/d2 = 1/d3

which is to say, ...

  x = d1/d3, and y = d2/d3

_____

For your equations, we can rewrite them as ...

Then our rows of coefficients are ...

  [tex]\begin{array}{cccc}12&-15&11&12\\11&23&12&11\end{array}[/tex]

And our differences are ...

  d1 = 12(23) -11(-15) = 441

  d2 = -15(12) -23(11) = -433

  d3 = 11(11) -12(12) = -23

The relations between x and y are ...

  x/441 = y/-433 = 1/-23

so, x = -441/23 and y = 433/23

The solution set is one ordered pair: { (-441/23, 433/23) }.

_____

Additional comments

The final solution is identical to the formula arrived at using Cramer's Rule. Calling this the "cross-multiplication method" avoids any discussion of matrices and determinants.

Answer:

134.786 centimeters

Step-by-step explanation:

First you need to convert inches to cm by doing 59.4x2.54=150.876 then you subtract 16.09 from that. Your answer would be 134.786 centimeters

Answer:

Its positive becuse both signs get multiplied.

Step-by-step explanation:

PLease mark me brainliest

Answer:

i. When the temperature is above [tex]616.712^{o}[/tex]F, it changes to gas.

ii. When the temperature is below [tex]-33.052^{o}[/tex]F, it changes to solid.

Step-by-step explanation:

Matter generally exists in either a solid, liquid or gaseous form. With each phase having a certain range of temperature.

Temperature scale of a given substance can be either in Celsius, Fahrenheit or Kelvin. And conversion from one scale to another can be achieved. Example, Celsius scale can be converted to Fahrenheit by:

F = [tex]\frac{9}{5}[/tex] θ + 32

where: F is the equivalent temperature in Fahrenheit, θ is the value of temperature in degree Celsius.

Given that: melting point of the substance = [tex]-36.14^{o}[/tex]C

⇒ F =  [tex]\frac{9}{5}[/tex] x [tex]-36.14^{o}[/tex] + 32

      = [tex]-33.052^{o}[/tex]F

The boiling point = [tex]324.84^{o}[/tex]C

F =  [tex]\frac{9}{5}[/tex] x  [tex]324.84^{o}[/tex] + 32

  = [tex]616.712^{o}[/tex]F

The melting point of the substance is [tex]-33.052^{o}[/tex]F, and boiling point is [tex]616.712^{o}[/tex]F.

Therefore, the range of temperatures for which the substance is not in a liquid state are:

i. When the temperature is above [tex]616.712^{o}[/tex]F, it changes to gas.

ii. When the temperature is below [tex]-33.052^{o}[/tex]F, it changes to solid.

Answer:

66 x+6

Step-by-step explanation:

Because you add from the x's then you go on from the hope this helped :) .

Answer:

haha imagine math

Step-by-step explanation:

Answer: MD=ME

Step-by-step explanation:

Those are the only ones that are actually equal to eachother. Plus I hate you to the other person who didn’t answer the question but said “lol imagine math”

Answer:

25 miles per gallon

Step-by-step explanation:

hope that's what you were looking for

Answer:

x = 9

Step-by-step explanation:

2(x + 5) = 3x + 1

open the parenthesis

2x + 10 = 3x + 1

subtract 2x from both sides of the equation

2x - 2x + 10 = 3x - 2x + 1

10 = x + 1

subtract 1 from both sides of the equation

9 = x

Answer:

Step-by-step explanation:

Substitute

2x+10=3x+1

Subtract 3x to other side

-x+10=1

Subtract 10

-x=-9

divide -1 both sides

x= 9

Answer:

D.

Step-by-step explanation:

you didnt put a number line tho :/

Answer:

25

Step-by-step explanation:

that one spongebob meme

haha

:(

theres no number line

Answer:

the interest is about 29.78.

Step-by-step explanation:

assuming It is at 9% per year,

6150*0.09*25/31/12=

553.5*0.08065/15=

553.5*0.0538=

29.7783 which is about 29.78

Answer:

mo

Step-by-step explanation:

.819 to .850

.85 is bigger

Answer:

no

Step-by-step explanation:

No because .85 meters is .031 meters greater then .819

Answer:

(- 4, - 2 )

Step-by-step explanation:

Given the 2 equations

- 4x + 4y = 8 → (1)

y = - 2x - 10 → (2)

Substitute y = - 2x - 10 into (1)

- 4x + 4(- 2x - 10) = 8 ← distribute and simplify left side

- 4x - 8x - 40 = 8

- 12x - 40 = 8 ( add 40 to both sides )

- 12x = 48 ( divide both sides by - 12 )

x = - 4

Substitute x = - 4 into (2) for corresponding value of y

y = - 2(- 4) - 10 = 8 - 10 = - 2

Solution is (- 4, - 2 )

Answer:

2x^100000000000+ 5/2

Step-by-step explanation:

Answer:

400000000000

Step-by-step explanation:

Answer:

4

Step-by-step explanation:

Answer:

-8

Step-by-step explanation:

Answer:

100

Step-by-step explanation:

These two angles are corresponding which means they add up to 180.

so... 19x+5+(16x)=180

If you simplify...

35x+5=180

Then solve for x...

35x=175

x=5

Then take that 5 and fill it into 19x+5...

19(5)+5

95+5=100

Answer:

7x-50 = -16

Step-by-step explanation:

7x + 10 = 44

x = 34/7

7(34/7) - 50 = -16

Substitute x with -1/2 and y with 1/2.

So the equation will look like this:

= -3/ 5(-1/2) + (1/2)

= -3/ -2.5 + 1/2

= -3/ -2

= 1.5

Therefore, the answer is 3/2 or 1.5.

Answer: -3

Step-by-step explanation:because -3 looks like it is smaller, but when a number is negative, the smaller the number, the greater the value actually is.

Answer:

y - 7 = -4 ( x -2 )

Step-by-step explanation:

just use the given informations:

The base formula:

y - y(1) = m ( x -x(1) )

remember that "m" typically refers to the slope of a line

There is a given set of points on the line: (2, 7)

hence just plug in the numbers:

x(1) = 2

y(1) = 7

m = -4

and you get

y - 7 = -4 ( x -2 )

Y=-4(x-2)

hope it helps

F(5) means replace x with 5 then solve:

3x-4 = 3(5)-4 = 15-4 = 11

F(5) = 11

Answer:

$40.80 is the answer

Answer:  32 joules per second.   That is equivalent to 32 Watts

Step-by-step explanation:

Divide units by time .   6080/190 = 32

1 joule per second is one watt.

Answer:

=5x

Step-by-step explanation:

Answer:

x=1

Step-by-step explanation:

3x+2x=5x

5x÷5 x=1

this is the right answer

Answer:

Step-by-step explanation:

You'll need to learn the formula for the circumference of a circle.  If the radius is r, the circumference C is C = 2πr.  It appears that your teacher is using pi for the exact circumference and 3.14 for the approximate circumference.

The radius of the first circle is 5 in.  Thus, the exact circumference is

C = 2πr = 2π(5 in) = 10π in, and the approximate circumference is

C = 2(3.14)(5 in) = 31.4 in

Step-by-step explanation:

verbally

algebraically

numerically

graphically.

Answer:

(x+1)^2 + (y-5)^2 = 9

Step-by-step explanation:

center = (h, k)

(x-h)^2 + (y-k)^2 = r^2

(x-(-1))^2 + (y-5)^2 = (3)^2

(x+1)^2 + (y-5)^2 = 9