What is the value of x? O 2 units O 3 units O 5 units 08 units
1 answer:
Answer:
The value of x is 5 units ⇒ C
Step-by-step explanation:
In the given figure
∵ Δ ABC is a right triangle at vertex B
∵ AC is its hypotenuse
∵ BD ⊥ AC
∴ (BD)² = AD × DC
∵ BD = 10 units
∵ AD = x units
∵ DC = 4x units
→ Substitute them in the rule above
∴ (10)² = x × 4x
∴ 100 = 4x²
→ Divide both sides by 4
∵ =
∴ 25 = x²
→ Take √ for both sides
∴ 5 = x
∴ The value of x is 5 units
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Answer:
∠ YZX ≈ 19.7°
Step-by-step explanation:
using the sine ratio in the right triangle.
sin YZX = =
=
, then
∠ YZX = (
) ≈ 19.7° ( to 3 significant figures )