Find the value of x in the isosceles trapezoid below?

x = 4.14
x = 35
x = 21.57
x = 31

Question

Find the value of x in the isosceles trapezoid below?

x = 4.14
        x = 35
        x = 21.57
        x = 31

anonymous · Answer

attachment

jamierox4ev3r · Answer

In a trapezoid, those two line segments are equal to each other. Therefore, it also means that the two equations are equivalent to each other. Based from this information, any ideas on how to set up a solvable equation? @AdeyNyx ?

anonymous · Answer

no idea :o sorry

jamierox4ev3r · Answer

alright…because the two equations are equal to each other, you can set it up as follows:

5x-32=2x+61

^
that shows that the two equations are equivalent to each other, and you can use them to solve for x

Are you familiar on how to solve these types of equations?

jamierox4ev3r · Answer

@AdeyNyx

anonymous · Answer

havent had much practice. Im barely learning this stuff

jamierox4ev3r · Answer

oh okay, no problem then! I was just trying to work off from your prior knowledge, just to help you test your skills.

So the goal of solving this equations is to get the x-variable by itself

5x-32=2x+61

So you would subtract 2x from both sides. the goal in this is to get the x-variable on one side of the equation.

5x-32=2x+61
-2x     -2x
----------
3x-32=61

then, you would ad 32 to both sides, this is to eliminate the number next to the variable and ultimately solve for x.

3x-32=61
    +32 +32
---------
3x=93

then, to get 1x, divide both sides by 3

3x=93
/3  /3

x=31
^
that right there is the solution

jamierox4ev3r · Answer

To check for accuracy, you can plug the x-value into the original equation.

However, before I move on to that, I want to make sure you understand what I did here…
Do you understand how I got x=31? @AdeyNyx ?

anonymous · Answer

yes i am starting to get it thank you for the detailed explanation

jamierox4ev3r · Answer

no problem :D its my job

jamierox4ev3r · Answer

So to check your answer you plug the variable into the original equation. Now this may sound confusing at first, but let me show you what I mean

5x-32=2x+61

5(31)-32=2(31)+61
^
see how 31 has replaced "x"?

so then, solve each side. if the end products are equal, it means you did this problem correctly

jamierox4ev3r · Answer

and remember, this is not mandatory, but its a good way to ensure accuracy :D

anonymous · Answer

cool I think I will end up using this method to check the rest of my problems :D