macar0ni

ohh, i see, thank you!!

it didn't say the solution yet, though i still have one more try to solve the problem. 

thank you so much for your efforts! however, it says that your answer is wrong. though i read your solution and i can't see any flaws...

i see, thank you! 

well, angle 1 would be 180 - 43 = 137, since it is on that straight angle. 

angle 2 is 180 - (90 + 43) = 47.

angle 3 is 180 - 137 - 26 = 17.

hope this helped! sorry if my explanations weren't too clear.

since the ray EF is an angle bisector, DEF and FEG are equal.

this means that 5x-3 = 2x+15.

solving this equation, we get 3x = 18, and x = 6.

so DEF would be 5(6) - 3 = 27.

hope this helped!

sorry Guest, the image just shows black pixels for me. could you please repost it so i can give the problem a shot?

for the first shape, the side EB is 15 - 9 = 6. using the Pythagorean theorem, we can solve for side CB.

EB^2 + CE^2 = CB^2

6^2+15^2 = CB^2

36+225 = CB^2

261 = CB^2

CB = sqrt261.

now, we can solve the perimeter. 

9+15+15+sqrt(261) = 39 + sqrt261.

for the second shape, we can simply add all the sides.

4+12+14+12+4+9+6+9 = 70.

hope this helped! please correct me if i am wrong, or if you are confused about something:)

well, division is just multiplying something by the reciprocal of the other number.

so, 3/4 divided by 2 would also equal 3/4 times 1/2.

fraction multiplication is simply just multiplying the numerators together and the denominators together.

3/4 times 1/2 would be 3/8.

hope this helped! please correct me if i am wrong :)

well, since Carlos planted 12 plants last year, 1/3rd of that is 4, and 4 + 6 is 10.

so, i think the answer this 10.

hope this helped! please correct me if i am wrong:)

you can subtract the two equations, like so:

4x+8y-(-10x+8y) = 40-(-44)

simplifying:

4x+8y+10x-8y = 40+44

14x = 84

x = 6

4(6)+8y = 40

24+8y = 40

8y = 40 - 24

8y = 16

y = 2

hope this helped! please correct me if i am wrong:)

since both of those are in the form y = mx + b, the slope would just be the "m" coefficient.

the slope of y = x + 3 would be 1, and the slope of y = -3x + 4 would be -3. 

hope this helped! please correct me if i am wrong:)

if you add the two equations together, you will get

-4x+5y+x-5y = 13-22

-3x = -9

x = 3

3 - 5y = -22

-5y = -25

y = 5

hope this helped! please correct me if i'm wrong:)

ohh, i see, i forgot about the $\sqrt 3$ ones. 

nice job!

shouldn't it be (4, inf)? i am not sure, though...

hmm, i am not sure... the diagonals of a rhombus do not necessarily have to be equal...