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7x - 3y = 21

-3y = -7x + 21

y = 7x/3 - 7

slope = 7/3

Circumference of a round pizza = pi * d  

     this pizza circumference =    6 pi   inches      ( or is that 6 'pie' ?   Haha)

              = 18.85 in

to do this, all we have to know is the divisible by 7 trick and the divisible by 9 trick. the divisible by 7 trick is where you take away the last digit then multiply it by two, then subtract that number from the original number, and repeat. the divisible by 9 trick is if the digits sum up to a mulitple of 9. now, you can just go with trial and error, and the lowest repunit divisible by both 21 and 9 is 111,111,111,111,111,111, which contains $\boxed{18}$ digits.

1.

we see that half of the original triangle is a 3-4-5 triangle, so $\frac{4\cdot\frac{13.5}3\cdot27}2=\boxed{243}$

2.

we know that two triangles are the same if they share the same intercepted arc and that one of the angles are similar, so the triangles are similar. this means $\frac46=\frac{10}{CD}$

$4CD=60$

$CD=\boxed{15}$

3.

we can draw a line MN, that intersects at point R, which is also the midpoint of AC and NM. PQ/AC=PR/AR.

we see that PRM is similar to DPA because of the angles, and we know R is the midpoint of NM which is parallel to AD, so triangle DPA's lengths are 2 times the lengths of PRM, so PR/AP=PQ/AC=$\boxed{\frac12}$

EACH time you have a 5 out of 10 chance of picking a striper

  5/10 * 5/10 =

   1/2  * 1/2 =   1/4

Like so:

Nevermind. It was -10x. 

There are 180^o  in the sum of internal triangle angles

   isosceles has two angle =

      65 + 65 + a = 180     solve for  a^o

50 degress

(1 - 1/2 - 1/5 )/(3)                the '3' represents  C D and E

(10/10 - 5/10 - 2/10)/3

   3/10  / 3  =  3/30 = 1/10  paid by each of C D and E

Right triangle       sin of an angle = opposites side/ hypotenuse

    so the sin 23 = AC/29

then    29 sin 23^o = AC     (use a calculator)

Look at the graph high point     maximum point     y = ~ 290 crates/hr   with 4 workers (the 'x' value)

y = -2x+10   is a line in y = mx+b form where   m = slope     = -2

   parallel line will have same slope....so only the first choice is one that has -2 slope

      but as a check , put in x = -6  and y = 4 to see if it is true !

lets say she buys m killograms of M&M's, and p killograms of peanuts. we have:

5m+7.5p=72.5

m+p=10

5m+5p=50

2.5p=22.5

p=9

m+9=10

m=$\boxed{1}$

thank you!

The intercepted arc is twice the value of the inscribed angle

sooo      2x = x+10   subract x from both sides

                x = 10 ^o

$1\cdot2+(6-2)\cdot(6+1)+\frac{(10-6-1)\cdot(6-2)}2=2+28+6=\boxed{36}$

Let's split the shape into parts. 

The small rectangle is 1*2 = 2. 

The big rectangle is 7*6 = 42

The right triangle is a 3, 4, 5 right triangle, 3*4/2 = 6. 

Sum them all.. 4+42+6 = 52. 

I hope this helped. :))

=^._.^=

1.

we see that half of the original triangle is a 3-4-5 triangle, so $\frac{4\cdot\frac{13.5}3\cdot27}2=\boxed{243}$

2.

we know that two triangles are the same if they share the same intercepted arc and that one of the angles are similar, so the triangles are similar. this means $\frac46=\frac{10}{CD}$

$4CD=60$

$CD=15$

(I'll do third after class)

If you draw it out, you notce that the area of the rectangle is DC * AD, and that area of ADE = AD*DE/2

So ADE is 1/4 of ABCD

AD*DE/2*4 = DC * AD

AD*DE*2 = DC * AD

DE*2 = DC

So our answer is 1/2 since DE is 1/2 of DC.

=^._.^=

15%  of 40000  = 6000

40000 - 6000 - 6000  =   $28000  on June 1, 2014

Hi iamhappy again, 

Good luck on your test. :))))))))

I'm gonna attempt problem 1. 

Let's try to find PA. 

(27-15)/20*27 = 22.5

We can find the height by using pythagreon theorum, sqrt(22.5^2-13.5^2 ) = 18. 

18*13.5*2/2 = 243.

I hope this helped. 

=^._.^=

No diagram shown......

Subbing  the second equation into  the  first

-3x + (x + 6)    =  -2

-2x + 6 =  -2

-2x  =  -2 - 6

-2x  = -8

x  = -8  /  -2     = 4

y = x + 6   =   4 + 6    = 10

thank you!