Applying the triangle sum theorem, we have:
First angle measure = 35°
Second angle = 70°
Third angle = 75°
<h3>What is the Triangle Sum Theorem?</h3>
According to the triangle sum theorem, all angles in a triangle will give a sum of 180 degrees.
First angle measure = x
Second angle = 2x
Third angle = (2x + x) - 30 = 3x - 30
x + 2x + 3x - 30 = 180 [triangle sum theorem]
6x - 30 = 180
6x = 180 + 30
6x = 210
x = 210/6
x = 35
First angle measure = x = 35°
Second angle = 2x = 2(35) = 70°
Third angle = 3x - 30 = 3(35) - 30 = 75°
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Answer:
Since 7 and 11 are both rational, the sum and difference are rational.
Step-by-step explanation: It's A
Answer:
512
Step-by-step explanation: area of triangle= 1/2*base*height
Answer:
Only external forces affect the motion of a system, according to Newton's first law. ... force applied to a car produces a much smaller acceleration than when ... Newton's second law states that a net force on an object is responsible for its ... A 1.0-kg mass thus has a weight of 9.8 N on Earth and only about 1.7 N on the Moon.
Step-by-step explanation:
Only external forces affect the motion of a system, according to Newton's first law. ... force applied to a car produces a much smaller acceleration than when ... Newton's second law states that a net force on an object is responsible for its ... A 1.0-kg mass thus has a weight of 9.8 N on Earth and only about 1.7 N on the Moon.
Answer:
4cotα=tanα
4(1/tanα)=tanα
(4/tanα)=tanα
cross multiply
=> 4=tan²α
√4=√tan²α
±2=tanα
α=arc( tan) |2|
α=63.4° ( in first quadrant)
and
α=180+63.4=243.4 in the third quadrant
since we also found a negative answer( i.e –2) then α also lies in quadrants where it gives a negative value(i.e second and fourth quadrants)
α=180–63.4=116.6° in the second quadrant
α=360–63.4=296.6 in the fourth quadrant
therefore theta( in my case, alpha) lies in all four quadrants and is equal to:
α=63.4°,243.4°,116.6°and 296.6°
