Find the value of x.
triangleSegment B E is drawn inside the triangle from point B on side A C to point E on side A D. B E appears to be parallel to C D.
A E equals 30.
E D equals 30.
D C equals 48.
B C equals 30.
A B equals 30.
B E equals 3 x.
(1 point)
Responses
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To find the value of x, we can use the proportionality of the sides in parallel lines. Since BE is parallel to CD, the sides AE, ED, and AB also form a proportionate relationship.
Using the given values:
AE/ED = AB/BC
Substituting the values:
30/30 = 30/48
Simplifying the equation:
1 = 5/8
To make the equation true, the value of x must be such that 3x/48 = 5/8.
Simplifying that equation:
3x = 48(5/8)
3x = 30
Dividing both sides by 3:
x = 10
Therefore, the value of x is 10.