Answer:
x = 8
Step-by-step explanation:
What is a triangle?
A triangle can be defined as a two-dimensional shape that comprises three (3) sides, three (3) vertices and three (3) angles. "(Lanuel, Brainly Expert)
To solve for x, we can use the properties of similar triangles. The triangles are similar because they have parallel corresponding sides.
Given:
- x is proportional to 6
- (x + 4) is proportional to 9
Since the triangles are similar, the ratios of the corresponding sides are equal. We can set up the proportion as follows:
[tex] \sf \frac{x}{6} = \frac{x + 4}{9} \\ - - - - - - - - - - - - - \\ \sf {6(x + 4)} = 9x \\ \sf 6x + 24 = 9x \\ \sf 9x - 6x = 24 \\ \sf 3x = 24 \\ \sf x = \frac{24}{3} \\ \sf x = 8[/tex]
Therefore, x is equal to 8
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