(tan(<em>x</em>) + cot(<em>x</em>)) / (tan(<em>x</em>) - cot(<em>x</em>)) = (tan²(<em>x</em>) + 1) / (tan²(<em>x</em>) - 1)
… = (sin²(<em>x</em>) + cos²(<em>x</em>)) / (sin²(<em>x</em>) - cos²(<em>x</em>))
… = -1/cos(2<em>x</em>)
Then as <em>x</em> approaches <em>π</em>/2, the limit is -1/cos(2•<em>π</em>/2) = -sec(<em>π</em>) = 1.
Answer:
-20 < 4 - 2x (subtract 4 from both sides)
-24 < -2x (divide each side by -2)
12> x (when you divide by a negative number, the inequality flips)
x< 12 ( I always put it so x is first)
so the answer is C
Answer:
75 degrees, we know that already so look below lol.
Step-by-step explanation:
This triangle is an isosceles triangle, LP is equivalent to LQ, and angles LQP and LPQ are also equivalent. We understand that PLQ is equal to 30 degrees, since its complementary to triangle LQM.
180 - 30 = 150
150/2 = 75.
<em>Have a nice day, fam. Spread The Love. Thanks for the opportunity.</em>
Answer:
the smaller is 25 and the bigger one is 30 .
Step-by-step explanation:
1.
x+y=55
y-5=x
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2.
x+y=55
y-x=5
2y = 60
y = 30
30 - 5 = 25
Sarah had $49 dollars, plus the money her mom had.