Question

what is the length of AC when the angle only says 6x and the side angle being BD is 5x + 3

Answer 1

u need to put up the figure here.

Answer 2

figure please

Answer 3

@nubeer @luckythebest

Answer 4

this is a parallelogram, so the opposite sides are congruent

which means,

AC = BD

6x = 5x + 3

solve for x and use it to find AC

Answer 5

oh ok so opposite sides of a parallelogram are equal.

Hence 6x = 5x + 3.

find x; hence use AC = 6X.

Answer 6

I'm confused and stuck on how to find the x with only 5x + 3
@luckythebest

Answer 7

@potatoqueen he has given 6x also.

The opposite sides of a parallelogram are equal and parallel.

So actually AC = BD

Hence 6x = 5x + 3. can u evaluate for x ?

Answer 8

I'm not sure how to, I might be doing it wrong it's not 7x is it? or is it just 6x sorry btw @luckythebest

Answer 9

its quite clear cut in the figure that AC is 6x.

Answer 10

6x = 5x + 3

6x-5x = 5x + 3-5x .. Subtract 5x from both sides.

what's next?

Answer 11

so it's 18 @jim_thompson5910

Answer 12

yes good answer :)

Answer 13

x = 3

AC = 18

correct

Answer 14

sorry can you help with this one @jim_thompson5910

Answer 15

he has given that BDE similar to BCA, correct?

Answer 16

yes

Answer 17

so u can say that CORRESPONDING SIDES ARE PROPORTIONAL.

BD/BC = DE/CA = BE/BA.

so BC = 125, AC = 150, BD = 4X+40 , ED = 8X+20.

u can plug in the values and solve for X.

Answer 18

I got 3.75 I did something wrong

Answer 19

@luckythebest

Answer 20

Lets see.

BD/BC = DE/CA.

4X+40/125 = 8X+20/150

On cross multiplication -

150(4x+40) = 125(8x+20)

OR

600x + 6000 = 1000x+2500

OR

3500 = 400x

35 = 4x.

Hence X = 8.75.

Answer 21

and this one how would i do this please help

Answer 22

@luckythebest

Answer 23

Hint:



the 3 triangles are similar, which means we can say

p/h = h/q

h^2 = pq