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Semenov [28]
3 years ago
15

Brainliest fir CORRECT answer ​

Mathematics
1 answer:
viktelen [127]3 years ago
4 0

Answer:

y ≈ 5.2

Step-by-step explanation:

∠ F = 180° - (42 + 48)° ← sum of angles in a triangle

∠ F = 180° - 90° = 90°

Thus Δ DEF is right at F

Using the sine ratio in the right triangle

sin48° = \frac{opposite}{hypotenuse} = \frac{DF}{DE} = \frac{y}{7} ( multiply both sides by 7 )

7 × sin48° = y , then

y ≈ 5.2 ( to the nearest tenth )

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