Question

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

3
3

4
4

6
6

8

Answer 1

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.