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5. X=64.   X+116=180 (subtract 116 from both sides) x=180-116= 64 <<I think that's how it goes, been a long time since I've done these.

6. B- 96.   

Also CPhill might look at this :)

V = (1/3) * 3.14 * R^2 *H       ..... R = 2 3/4→ 2.75   and   H = 4....  so we have...

V = (1/3) * 3.14 * ( 2.75)^2 * (4)  ≈  31.66 units^2

Wow...

I knew it was easy, I completely missed the 180° total. Thanks!

Thanks and thanks for explaining I forgot!!! Trying to help so many other people... 😛

The answer is B 720°. 

6-2(180)

4(180)

720

Very nice, Isabelle......!!!

BTW.....the second answer can be derived as follows :

( # sides in a heptagon - 2) (180)°  / ( # sides in a heptagon)  =

( 7 - 2) (180)° / 7  =

(5/7) (180) ° ≈   128.6 °

Sure what do you need help with? Post your problem. :)

1. Equilateral - 

Equilateral means all sides are the same length.

2.  A- 128.6

It takes 32 minutes for 8 people to paint 8 walls 

Then 8 people can paint 4 walls in (1/2)32 min  = 16 min

So...in 1 min...the 8 people can paint 1/4 of a wall

So......12 people will work 3/2 itmes as fast → painting 1/4 of a wall in 2/3 min

So...a whole wall will  take 12 people.....  4 * 2/3 min  = 8/3 min

And 12 walls will take  12 * 8/3 min  = 32 min

JM  = 21

If each person paints at the same speed, then each one will paint one wall. It takes each person 32 minutes to paint one wall. So it takes 32 minutes for 12 people to paint 12 walls.

How big is 666?

It is 6 times bigger than 111.

It is 1 bigger than 665.

It is 334 less than  1000

and 

it is half of 1332         

Your score never drops...but.....others could pass you ......

big

-7 x 10^5

D  = Rate * Time

70km/h * 1.5h  =    105 km

The boat moves through the water at a speed of 20 km/h.

If it is a line, then pick two points on the graph   x1, y1      and  x2 , y2   

then slope = 'm' = rise/run =  (y2-y1)/(x2-x1)

If it is NOT  a line, you will need the equation of the graph and then you will take the derivative of that equation to get the slope of the graph at any given point......

There may be other ways......

Parallelogram

A quadrilateral is a parallelogram if:

Both pairs of opposite sides are parallel. (By definition).

Or:

Both pairs of opposite sides are congruent. If they are congruent, they must also be parallel.

Or:

One pair of opposite sides are congruent and parallel. Then, the other pair must also be parallel.

Based on the above, do you see the answer, NTS   ????

a job

112

Because the top and bottom bases are parallel, the right side of the trapezoid serves as a transversal beween two parallels.......so the 152° angle and the angle at the bottom right will be consecutive supplementary angles....therefore....the angle at the bottom right will = 180 - 152  = 28°.....just as EP found.....!!!!

This is a combinations problem:  C(6,2)·(1/2)²·(1/2)⁴  =  15 / 64

A combination of 6 items taken two at a time (the two locations where the heads are found among the six possible places:  C(6,2)  =  15

... times the probability of getting 2 heads:  (1/2)² 

... and times the probability of getting four tails:  (1/2)⁴.

Nuh-uh.    You add them !     then divide the sum by the number of terms to get the mean.  The MEDIAN will be the middle number when you list them in chrono order. (If there are TWO middle numbers from a list of terms that is even in number, then add the two middle ones and divide by two)  The mode is the number that appears most frequently....good luck!

                                                2x - 8y  =    56

                                                6x + 8y  =  -88

Add down the columns:       8x           =  -32

         Divide by 8:                             x  =  -4

Replace the x-term in the first equation with -4:  2(-4) - 8y  =  56

Finish:                                                                           -8 - 8y  =  56

                                                                                           - 8y  =  64

                                                                                               y  =  -8