NEED HELP ASAP!! Use Pythagorean Theorem to solve. Round to the nearest tenth
1. How far apart are the boats?
7 mi
d mi
3 mi

≈ 7.6 miles

Step-by-step explanation:

Using Pythagoras' identity in the right triangle.

The square on the hypotenuse d is equal to the sum of the squares on the other 2 sides, that is

d² = 3² + 7² = 9 + 49 = 58 ( take the square root of both sides )

d = ≈ 7.6 ( to the nearest tenth )

m∠cdf = 43° , m∠gdf = 114°, m∠gde = 23°, m∠edh = 23° , m∠cdh = 157°

step-by-step explanation:

since, it is given that de bisects the angle gdh ⇒ de divides the angle gdh into two equal angles.

⇒ m∠gde = m∠edh

⇒ 8·x   - 1 = 6·x + 5

⇒ x = 3

so, m∠gde = 8·x - 1 = 23°

and m∠edh = 23°

now, it is given ∠cde is an straight angle so, m∠cde = 180°

⇒ m∠cdf + m∠fdg + m∠gde = 180°

⇒ 43° + m∠fdg + 23° = 180°

⇒ m∠fdg = 114°

again, m∠cde = m∠cdh + m∠edh = 180°

m∠cdh + 23° = 180°

⇒ m∠cdh = 157°