Answer:
45 and 225degrees
Step-by-step explanation:
Given the expression
tan⁻¹1
Using the calculator
tan⁻¹1
tan⁻¹1 = 45degrees
Since tan is positive in the third quadrant
theta= 180 + theta
theta = 180 + 45
theta = 225degrees
Hence the values of theta are 45 and 225degrees
Answer:
A. 1÷(X+1) (x-2)
some steps are directly
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Answer:
360°
Step-by-step explanation:
We need only remember that the sum of the measures of the interior angles of a triangle is 180°. Angle c and 112° form a pair of "straight angles," so they add up to 180°; as a consequence, Angle c = 180° - 112°, or 68°.
With two of the interior angles now known, we can calculate the third, Angle A: It is 180° less (51° + 68°), or 180° - 119°, or 61°.
That means that the measure of Angle B is 180° - 61° = 119°
Looking at the pair C and 112°, we identify the exterior angle as 112°.
Looking at the pair A and B, or 61° and 119°, we identify the exterior angle as 119°.
Finally, looking at the pair 51° and (180° - 51°), or
51° and 129°, we identify the exterior angle as 129°.
Then the sum of the exterior angles 129° and 119° and 112° is 360°.
2)
32/28=w/7
you cross multiply one denominator by the other numerator so
32(7)=(28)(w)
simplify
224=28w
divide 28 from both sides to get w alone
8=w
4)
36/21=24/s
cross multiply just like in the last problem
(36)(s)=(21)(24)
simplify
36s=504
divide 36 to get s alone and essentially solve for s
S=14