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
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answer #1
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answered by Anonymous
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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
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answer #2
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answered by Anonymous
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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
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Check
6/x + 5 = 4/5
6 / 2.5 + 5 = 4/5
6 / 7.5 = 4/5
0.8 = 0.8
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2006-11-07 07:31:47
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answer #3
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answered by SAMUEL D 7
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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
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answer #4
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answered by siddharthm91 2
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4/5=6/(x+5)
so
x=2.5
"i drawdeded a pikture".......... nice
2006-11-07 06:28:18
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answer #5
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answered by Me 4
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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
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answer #6
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answered by . 3
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state the problem clearly
2006-11-07 08:00:11
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answer #7
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answered by openpsychy 6
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drawdeded?
2006-11-07 06:27:21
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answer #8
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answered by minion 3
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