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hard to explain but i drawdeded a pikture

:)

thanks

http://img205.imageshack.us/img205/246/ahhih3.jpg

2006-11-06 22:23:26 · 8 answers · asked by lj 1 in Science & Mathematics Mathematics

Solve for X

2006-11-06 22:27:01 · update #1

8 answers

The triangle having sides 4 and x and the triangle having sides 6 and x+5 are similar.
Their ratio of their corresponding sides will be equal
Therefore, (x+5)/6 = 5/4
=>4x + 20 = 30
=>4x = 10
=>x = 10/4 = 2.5 or 5/2

2006-11-06 22:27:55 · answer #1 · answered by Anonymous · 0 0

What you here is called SIMILAR TRIANGLES.

We have two triangles in one large triangle.

6 divided x + 5 = 4 divided by 5. This can be written this way:

6/(x+5) = 4/5

Next:

cross-multiply

(x+5) times 4 = 6 times 5

4x + 20 = 30

4x = 30 - 20

4x = 10

Next:

Divide both sides of the equation by 4 to find the value of x.

x = 10/4.

Can we reduce the fraction 10/4 to a lower term?

Yes, we can.

What is the BIGGEST number that can fit into 10 and 4 WITHOUT a remainder?

How about 2?

10 divided by 2 = 5.

4 divided by 2 = 2.

Final answer: x = 5/2 units.

NOTE: We can also write 5/2 as a decimal this way: 2.5 units.

Guido

2006-11-07 06:37:37 · answer #2 · answered by Anonymous · 0 0

This is a proportion problem

Multiply the means

Multiply the extremes

Means = 4(x+ 5)

Extremes = 6 x 5

6/x + 5 = 4/5

4(x + 5) = 6 x 5

4x + 20 = 30

4x + 20 - 20 = 30 - 20

4x = 10

4x/4 = 10/4

x = 10/4

x = 2.5

The answer is 2.5`

Insert the x value into the equation

- - - - - - - - - - -

Check

6/x + 5 = 4/5

6 / 2.5 + 5 = 4/5

6 / 7.5 = 4/5

0.8 = 0.8

- - - - - - - - -s-

2006-11-07 07:31:47 · answer #3 · answered by SAMUEL D 7 · 0 0

The two triangles are similar (U can prove that by saying that all the angles are equal)

The sides of equal angles are in equal ratio.

So,
6/(x+5) = 4/5
30=4x+20
4x=10
x=10/4=5/2=2.5 units.

2006-11-07 06:30:58 · answer #4 · answered by siddharthm91 2 · 0 0

4/5=6/(x+5)

so

x=2.5

"i drawdeded a pikture".......... nice

2006-11-07 06:28:18 · answer #5 · answered by Me 4 · 0 0

those 2 are similar triangles
so
4/5 =6/(x+5)
2(x+5) =15
2x=5
x=2.5

2006-11-07 06:42:02 · answer #6 · answered by . 3 · 0 0

state the problem clearly

2006-11-07 08:00:11 · answer #7 · answered by openpsychy 6 · 0 0

drawdeded?

2006-11-07 06:27:21 · answer #8 · answered by minion 3 · 0 0

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