Help please!
1 answer:
Answer:
x = 2
Step-by-step explanation:
In the given figure
∵ ABC is a triangle
∵ D is a point on side AB
∵ E is a point on side BC
∵ DE // AC
∵ AC is the third side of the triangle
→ That means DE divides the sides AB, BC into parts that have the same ratio
∴ =
∵ BD = 6 and DA = 4
∵ BE = x + 1 and EC = x
→ Substitute them in the ratio above
∴ =
→ By using the cross multiplication
∵ 6 × x = 4 × (x + 1)
∴ 6x = 4(x + 1)
∴ 6x = 4(x) + 4(1)
∴ 6x = 4x + 4
→ Subtract 4x from both sides
∵ 6x - 4x = 4x - 4x + 4
∴ 2x = 4
→ Divide both sides by 2 to find x
∴ x = 2
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