Question

Given quadrilateral DEFG is an isosceles trapezoid. Find DE.
DE=4x-2
DG=2x+5
GF=5x-3
FE=3x+2

Answer 1

isosceles trapezoid mean lateral sides are equal

Answer 2

DE = FG

Answer 3

substitute the given expressions inside this equality and calcule the x value

Answer 4

DE = ?

Answer 5

please collaborate i m here to help you - courage please

Answer 6

so...4x-2=5x-3

Answer 7

right?

Answer 8

yes continue

Answer 9

how you isolate the x in a part of equation ?

Answer 10

are you there ????

Answer 11

yes..you then take -4

Answer 12

and (-) from 4x and 5x

Answer 13

4x-2=5x-3 how you isolate the x terms in a part of equation ?

Answer 14

subtract from both sides 4x so what will get ?

Answer 15

4x-4=0 and 5x-4=1

Answer 16

i ve said subtract 4X from both sides of equation

Answer 17

then you have -2=x-3

Answer 18

4x-2=5x-3

yes - and now how you get on the right side just x ?

Answer 19

-2 = x -3 isolate on the right side the x

Answer 20

you take -3 and (-) it on its self and -2...?

Answer 21

not exactly

add to both sides 3 so what will get ?

Answer 22

-2 +3 = x -3 +3

Answer 23

x = ?

Answer 24

its 1=x

Answer 25

perfect and now how you get the DE ?

Answer 26

what you know about DE ?

Answer 27

DE = ?

Answer 28

DE=FG

Answer 29

yes but like expression - given in the text there up

Answer 30

DE=4X-2..?

Answer 31

yes sure

and for x what value you ve get above ?

Answer 32

do you mean 1=x?

Answer 33

yes sure and now you know that x = 1
and DE = 4x - 2

how you get the DE = ?

Answer 34

I'm not sure

Answer 35

write it please

Answer 36

how you get the DE when x = 1 ?

Answer 37

???

Answer 38

this is the last step and very very easy

Answer 39

do you replace x with 1?

Answer 40

exactly

Answer 41

why you dont make so then you know it ?

Answer 42

4x-2 becomes 1-2....?

Answer 43

DE = 4x -2
x = 1

DE = ?

Answer 44

1

Answer 45

no

substitute the x value in place of x inside this expression and calcule the DE

Answer 46

4x-2 x=1 puting it in 4x
1-2=1

Answer 47

DE = 4x -2

4*1 why equal for you 1 ?

Answer 48

1 substitute in place of x not in place of 4x

Answer 49

ohhh

Answer 50

ok ?

and so will get DE = 4*1 -2 = ?

Answer 51

4 *1-2=2...?

Answer 52

yes - exactly and now you know that DE = 2
and given again that DE = FG

how you can prove this ?

Answer 53

DE = 2 => FG = 2

Answer 54

FG = what expression above on the top ?

Answer 55

FG=5x-3

Answer 56

yes sure and you know that x = 1
so you need calcule the FG = ?

Answer 57

so 5*1--3

Answer 58

yes

Answer 59

FG = ?

Answer 60

5*1 -3 = ?

Answer 61

2

Answer 62

so we have DE = 2 and FG = 2

do you understand these now ?

Answer 63

yes

Answer 64

ok was my pleasure

bye bye

Answer 65

bye thx