Answer:
y = 1/3x - 4/3
Step-by-step explanation:
slope is change in y over the change in x
-1 +3/ 1+5= 2/6= 1/3
y+1 = 1/3(x-1)
y + 1 = 1/3x - 1/3
y = 1/3x - 4/3
<span> I am assuming you want to prove:
csc(x)/[1 - cos(x)] = [1 + cos(x)]/sin^3(x).
</span>
<span>If we multiply the LHS by [1 + cos(x)]/[1 + cos(x)], we get:
LHS = csc(x)/[1 - cos(x)]
= {csc(x)[1 + cos(x)]/{[1 + cos(x)][1 - cos(x)]}
= {csc(x)[1 + cos(x)]}/[1 - cos^2(x)], via difference of squares
= {csc(x)[1 + cos(x)]}/sin^2(x), since sin^2(x) = 1 - cos^2(x).
</span>
<span>Then, since csc(x) = 1/sin(x):
LHS = {csc(x)[1 + cos(x)]}/sin^2(x)
= {[1 + cos(x)]/sin(x)}/sin^2(x)
= [1 + cos(x)]/sin^3(x)
= RHS.
</span>
<span>I hope this helps! </span>
Answer:
Step-by-step explanation:
The diagonals of a rhombus are perpendicular, so ∠AED = 90° and ∠BEC = 90°.
∠DAE = 180° - ∠AED - ∠EDA = 180° - 90° - 35° = 55°
BD is a transversal across parallel sides AD and BC, so ∠EBC = ∠EDA = 35°.
∠BCE = 180° - ∠BEC - ∠EBC = 180° - 90° - 35° = 55°
An obtuse angle would be an angle more then 90 degrees.
So if you add two angles together, it could be less then 90 degrees, such as 30 + 50 = 80 degrees.
However, it can also be more then 90 degrees, or an obtuse angle, for example 60 + 50 = 110 degrees.
So it's sometimes.
Yes they both are, obviously since their aligned straightly and with he right angle
