Question

MEDAL AND FAN

Find the value of x and y.

Answer 1

@inowalst

Answer 2

@Michele_Laino

Answer 3

@Nnesha

Answer 4

is that an isosceles trapezoid?

Answer 5

i have no clue

Answer 6

under the hypothesis that your trapezoid is an isosceles trapezoid, we have to solve this algebraic system:
\[\left\{ \begin{gathered}
30x + 11y = 112 \hfill \\
2x + 3y = 12 \hfill \\
\end{gathered} \right.\]

Answer 7

it is issosceles because it has 1 mark on both sides

Answer 8

you are right! @AlexandervonHumboldt2

Answer 9

in order to that, we can apply the substitution method

Answer 10

@nono266 you have to solve the system of equation michal gave you.

Answer 11

okay

Answer 12

wait

Answer 13

@Michele_Laino you have a mistake. you equalies the deggree to the side length

Answer 14

the first equation in the system

Answer 15

I think that 30x+11y is an angle

Answer 16

woops yeah llooks like it is

Answer 17

yeah then thehere is no mistake and just solve the system

Answer 18

Need help guys or you got this? ^_^

Answer 19

please stay here so you can help us! @just_one_last_goodbye

Answer 20

whatcha need? ^_^

Answer 21

Hey @nono266 ^_^

Answer 22

@nono266 do you know how to solve systems of equations?

Answer 23

hey @just_one_last_goodbye :]

Answer 24

and yes @acxbox22

Answer 25

ok! I solve the second equation for x , and I get:

\[x = \frac{{12 - 3y}}{2}\]

Answer 26

okay so can you solve the system above
we will check your answer

Answer 27

Which equation are you trying to solve @Michele_Laino

Answer 28

the second one of my system above

Answer 29

30x + 11y ?

Answer 30

you found x now substitue it into another equation and solve

Answer 31

no, the other @just_one_last_goodbye

Answer 32

\[2x + 3y = 12\] @just_one_last_goodbye

Answer 33

hint:
Now I substitute that expression for x, into the first equation of my system, and I get:
\[30 \cdot \frac{{12 - 3y}}{2} + 11y = 112\]
which equation, is easy to solve for y

Answer 34

I have an answer but im checking my calculator

Answer 35

yes and then after finding y substitue y into one of the equations and solve for x

Answer 36

that's right! @AlexandervonHumboldt2

Answer 37

This is what im getting "The polynomial is not factorable with rational numbers. "

Answer 38

nevertheless we are searching for the y value @just_one_last_goodbye

Answer 39

i have another question

Answer 40

ok!

Answer 41

If the perimeter of an isosceles trapezoid is 79.53 meters, and the bases measure 25.62 meters and 33.51 meters, find the length of the legs of the trapezoid.

Answer 42

hint:
if I call with L the length of the legs of your isosceles trapezoid, then I can write:
\[75.93 = 25.62 + 33.51 + 2 \times L\]

Answer 43

oops..
\[79.53 = 25.62 + 33.51 + 2 \times L\]

Answer 44

what is L?

Answer 45

u might be a human calculator but I'm not gimme a sec XD

Answer 46

1.3

Answer 47

are you sure?

Answer 48

um yes

Answer 49

I got a different result

Answer 50

oh

Answer 51

please, retry!

Answer 52

still the same

Answer 53

hint:
\[2 \times L = 79.53 - 25.62 - 33.51 = ...?\]

Answer 54

what is:
\[79.53 - 25.62 - 33.51 = ...?\]