Question

Mhanifa please help! This is due soon and I dont want to fail

Answer 1

Answer:

#1

Sum of interior angles is 180:

• y = 180 - (42 + 31) = 107

The law of sines:

• x / sin 107 = 11 / sin 42
• x = 11 sin 107deg / sin 42deg
• x = 15.72

#2

The law of cosines:

• cos 76  = (6² + 17² - x² )/2(6)(17)
• 204*0.24 = 325 - x²
• x² = 325 - 48.96
• x² = 276.04
• x = √276.04
• x = 16.61

#3

Same as above:

• 2*9.4*10*cos 20 = (10² + 9.4² - x²)
• 176.66 = 188.36 - x²
• x² = 188.36 - 176.66
• x² = 11.7
• x = √11.7
• x = 3.42

#4

Sum of interior angles is 180:

• y = 180 - (52 + 94) = 34

The law of sines:

• x / sin 34 = 15 / sin 94
• x = 15 sin 34  / sin 94
• x = 8.41