Answer:
∠H = 120
Step-by-step explanation:
See the attached figure
HALT is a parallelogram
So, angles H and T are supplementary.
∠H = 2x + 60 and ∠T = x + 30
∠H + ∠T = 180
∴ 2x + 60 + x + 30 = 180
∴ 3x + 90 = 180
∴ 3x = 180 - 90 = 90
∴ x = 90/3 = 30
So, ∠H = 2x + 60 = 2 * 30 + 60 = 60 + 60 = 120
Answer:
tan M = 
Step-by-step explanation:
To obtain tan M we require to find KL
Using Pythagoras' identity in the right triangle.
KL² + LM² = KM²
KL² + 7² = 25²
KL² + 49 = 625 ( subtract 49 from both sides )
KL² = 576 ( take square root of both sides )
KL = 
= 24
Then
tan M = 
= 
=
Answer:
2 hours and 27 minutes
Step-by-step explanation:
300 divided by 132.1 = 2.271
2.27 (simplified)
