Answer:
x=841/68
Step-by-step explanation:
-68(x-11)=1+(-94)
-68(x-11)=-93
-68x+748=-93
-68x=-93-748
-68x=-841
68x=841
x=841/68
Shape A is congruent to Shape B because If you were to rotate one of the two and flip it the would like up and match.
Answer:
690%
Step-by-step explanation:
To find the percent increase, take the new amount and subtract the original amount
5600000-80000=5520000
Divide it by the original amount
5520000/800000
6.9
Multiply this by 100% to change from decimal form to percent form
6.9*100%
690%
Constant because of the fact that it has a zero slope, so it will never decrease nor decrease.
Answer:
Verified below
Step-by-step explanation:
We want to show that (Cos2θ)/(1 + sin2θ) = (cot θ - 1)/(cot θ + 1)
In trigonometric identities;
Cot θ = cos θ/sin θ
Thus;
(cot θ - 1)/(cot θ + 1) gives;
((cos θ/sin θ) - 1)/((cos θ/sin θ) + 1)
Simplifying numerator and denominator gives;
((cos θ - sin θ)/sin θ)/((cos θ + sin θ)/sin θ)
This reduces to;
>> (cos θ - sin θ)/(cos θ + sin θ)
Multiply top and bottom by ((cos θ + sin θ) to get;
>> (cos² θ - sin²θ)/(cos²θ + sin²θ + 2sinθcosθ)
In trigonometric identities, we know that;
cos 2θ = (cos² θ - sin²θ)
cos²θ + sin²θ = 1
sin 2θ = 2sinθcosθ
Thus;
(cos² θ - sin²θ)/(cos²θ + sin²θ + 2sinθcosθ) gives us:
>> cos 2θ/(1 + sin 2θ)
This is equal to the left hand side.
Thus, it is verified.
