2. What additional Information What additional information do you need to prove ABC = DEF by the SSS Postulate?

AC = DF
AB = DE
BC = EF

The equation that models the amount of gas left in the car as Phan drives is [tex](g = 18 - 2h)[/tex] and the total amount of gasoline does it take to fill her tank is 18 gallons.

Given :

The following steps can be used in order to determine the equation that models the amount of gas left in the car as Phan drives and the total amount of gasoline:

Step 1 - The two-point form of the line can be used in order to determine the equation that models the amount of gas left in the car as Phan drives.

[tex]\dfrac{y-y_1}{x-x_1}=\dfrac{y_2-y_1}{x_2-x_1}[/tex]

Step 2 - Now, substitute the value of [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex] in the above expression.

[tex]\dfrac{g-12}{h-3}=\dfrac{8-12}{5-3}[/tex]

Step 3 - Simplify the above equation.

[tex]\begin{aligned}\\(g - 12)&=-2(h-3)\\g - 12&=-2h+6\\g &= 18-2h\\\end{aligned}[/tex]

Step 4 - Now, substitute the value of (h = 0) in the above equation.

[tex]g = 18-2(0)\\g = 18 \; {\rm gallons}[/tex]

Therefore, the correct option is A).

For more information, refer to the link given below:

https://brainly.com/question/11897796

Answer:

g = 18 – 2h; 18 gallons

Step-by-step explanation:

The answer above is correct.

[tex](x+8)+4x = 7x -16\\\\\implies 5x +8 = 7x -16\\\\\implies 7x -5x = 8+16 \\\\\implies 2x = 24\\\\\implies x = \dfrac{24}2\\\\\implies x= 12[/tex]

Answer:

3

Step-by-step explanation:

First you change 2 1/4 into an improper which is 9/4. Then you do KFC(Keep Change Flip)  9/4 x  4/3=36/12.  THEN YOU SIMPLIFY=9/3,that can still be simplified so the final answer is 3.Its 3 because there are 3 wholes in 9/3.

Answer:

x = 36

Here's how I got that:

   - Group like terms -

x - 2 + 2x + 4 + 2x - 2 = 180

                    ↓

      5x - 2 + 4 - 2 = 180

                    ↓

              5x = 180

 - Divide both sides by 5 -

         5x/5 = 180/5

                   ↓

               x = 36

~ That's all folks ~

-Siascon

Answer:

32 Strawberries

Step-by-step explanation:

The amount of strawberries you need for 48 cups of juice is 32

Answer:

uhhh maybe ( x + 2 ) = y

Step-by-step explanation:

i dont know im on break and I don forgot how to do this

Answer:

x-7

Step-by-step explanation:

Answer:

-12x + 94

Step-by-step explanation:

Simplify:

[tex]\left(x-4\right)\left(x-3\right)-x\left(x+5\right)+82[/tex]

[tex]=x^2-7x+12-x\left(x+5\right)+82[/tex]

[tex]=x^2-7x+12-x^2-5x+82[/tex]

[tex]=x^2-x^2-7x-5x+12+82[/tex]

[tex]=-7x-5x+12+82[/tex]

[tex]=-7x-5x+94[/tex]

[tex]=-12x+94[/tex]

Answer:

[tex]\frac{7}{8}[/tex]

Step-by-step explanation:

[tex]\frac{1}{4}\ + \frac{10}{16}\[/tex]

[tex]= \frac{4}{16}\ + \frac{10}{16}\\[/tex]

[tex]= \frac{14}{16} \\[/tex]

[tex]= \frac{7}{8}[/tex]

hope it helps :)

mark brainliest!

Answer:

the answer should be C

Step-by-step explanation:

Hope this helps!

Answer: i think you should label it with numbers first

maybe??

Step-by-step explanation:

Answer:

y=2x-5

Step-by-step explanation:

Answer:

y=2x-5

Step-by-step explanation:

y-y1=m(x-x1)

y-3=2(x-4)

y-3=2x-8

y=2x-8+3

y=2x-5

Note that the slope-intercept form is y=mx+b where m=slope and b=y-intercept.

If you're satisfied with the answer, then please mark me as the Brainliest. Thank you.

Answer:

10111

Step-by-step explanation:

10111

Answer:

400

Step-by-step explanation:

i think

Answer: 102 foot / feet tall

Step-by-step explanation:

First, we have to find the unit rate . . . what is 24 divided by 20 ? 1.2/1

Second, multiply . . . what is 1.2 x 85 ? 102

( sorry if this is wrong - I forgot how to do the second part for a sec )

Answer:

The second one: r x-axis. R 90(x,y)

Step-by-step explanation:

You can see that from ABC to A'B'C', it's rotated a positive 90 degrees. then, from A'B'C' to A"B"C", reflected across x-axis. and when writing the transformation, it goes by last to first. that's why the R 90 comes first.

The rule which describes the composition of transformations that maps ΔABC to ΔA"B"C" is,

⇒ r _ x-axis. R _ 90(x, y)

A transformation that occurs when a figure is moved from one location to another location without changing its size or shape is called translation.

Given that;

To find the rule which describes the composition of transformations that maps ΔABC to ΔA"B"C".

Now, You can see that from ABC to A'B'C',

it's rotated a positive 90 degrees.

And, Then, from A'B'C' to A"B"C", reflected across x-axis.

Now, when writing the transformation, it goes by last to first. that's why the R 90 comes first.

Thus, The rule which describes the composition of transformations that maps ΔABC to ΔA"B"C" is,

⇒ r _ x-axis. R _ 90(x, y)

Learn more about the transformation visit:

https://brainly.com/question/30097107

#SPJ5

Step-by-step explanation:

they way it is written, she has one of the best paying jobs in the world : $1470 per hour ...

but I guess it is really $14.70 per hour, right ?

that is then her basic wage : $14.70 per hour for 40 hours = 14.7 × 40 = $588.

her overtime rate is then 14.7×1.25 (one time and a quarter) = 18.375 ≈ $18.38

and she gets that rate for all hours beyond the basic 40 hours, so, 52-40 = 12 hours.

12×18.38 = $220.56

or if you need it totally precise

12×18.375 = $220.50

in total, her gross wage for that week is then

588 + 220.56 = $808.56

or totally precise with unrounded hourly rates

588 + 220.5 = $808.50

which would create a mean hourly rate

808.56/52 = $15.54923077... per hour ≈ $15.55 per hour

or

808.5/52 = $15.54807692... per hour ≈ $15.55 per hour

many payroll systems do the rounding of the hourly rates and then calculate the total amount (as the first option here). some others keep the full decimal positions in the calculation and then only round the total (as the second option here).

so, it is the question what your teacher expects here. I cannot tell from the description.

Answer:

x = 1

x= -2.5

Step-by-step explanation:

we can use perfect square method quadratic method or solve it using a calculator directly

Answer:

r = 6

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

Answer:

(8, 0)

(-2, 0)

(-3, 0)

Step-by-step explanation:

x - 8 = 0

x = 8

x + 2 = 0

x = -2

x + 3 = 0

x = -3

[tex](x-8)(x+2)(x+3) =0\\\\\implies x -8 =0~~~ \text{or}~~~x+2 =0 ~~~ \text{or}~~~x+3 = 0\\\\\implies x = 8 ~~~~~~~~ \text{or}~~~~~~x = -2 ~~~ \text{or}~~~ x = -3\\\\\\\text{Hence the roots are}~ 8, -2 ~\text{and} ~-3[/tex]

Answer:

Step-by-step explanation:

We are being asked for times, so we can express the rate in terms of seconds per meter.

  (15 seconds)/(14 meters) = (15/14) seconds per meter = 1 1/14 seconds/meter

__

1) It will take Robot A 1 1/14 seconds to go 1 meter.

2) it will take Robot A 4 2/7 seconds to go 4 meters. (4 times as long)

If any questions leave a comment

Answer:

[tex]\frac{973}{324} [/tex]

Step-by-step explanation:

[tex] ( - \frac{ 27}{64} - ( - \frac{125}{8} ))\times ( \frac{2}{3} )^{4} [/tex]

[tex] ( - \frac{ 27}{64} + \frac{125}{8} ) \times \frac{16}{81} [/tex]

[tex] \frac{973}{64} \times \frac{16}{81} [/tex]

[tex] \frac{973}{4} \times \frac{1}{81} [/tex]

[tex] \frac{973}{324} [/tex]

Answer:

The surface area = 548 in²

Step-by-step explanation:

The surface Area = 2lw + 2lh + 2wh  using l = 10 in, w = 7 in, and h = 12in.

Substitute into the formula and solve

  2lw + 2lh + 2wh

= 2· 10·7 + 2· 10 · 12 + 2 ·7 ·12

=  140  +  240 + 168

= 548 in²

a) Point O

b) [tex]\overline{OB}[/tex]

c) [tex]\overline{AB}[/tex]

4) arc DE (m)

5) [tex]\overline{DE}[/tex]

6) Semicircle AEB

Answer: x=0

Step-by-step explanation: f(x)=(x+2)x2-4

                                               0=2x+4-4

                                                0=2x

                                                 2x/2=0

                                                  0/2=0

                                             x=0

Answer:

20+24= 2(10+12) = 4(5+6)

Those are two ways to factor 20+24.

Answer:

21

Step-by-step explanation:

21jshe 21jjxjdjdbxhxbdhxbdh21