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°
Answer:
the answer is option B. angle S.
when naming an angle we place the vertex of the angle in the middle. here the angle is RST. But that option is unavailable. very often when there are no other angles interfering with the parent angle, we represent it using one letter that is the mid letter, the vertex. here in this case it is S.
4. The Jar Has More Coins. This is because to go from 10% to 8% the number of coins besides penny's has to increase
Please Make Me The Brainlyist!
Answer:
m∠b = 35°
m∠c = 145°
m∠ d = 35°
Step-by-step explanation:
To find m∠b, we use Definition of Supplementary Angles:
180 - (90 + 55) = 35°
To find m∠c, we also use Definition of Supplementary Angles:
180 - 35 = 145°
To find m∠d, we use Vertical Angles Theorem:
m∠b = m∠d = 35°
