We assume , A, B, and C are angles of a triangle.
The sum of angles of a triangle is equal to 180º; therefore:
A+B+C=180º
B is 45% of angle A; then B=0.45A
C is 35% of anble A; Then C=0.35A
We can suggest this equation;
A+0.45A+0.35A=180
1.8A=180
A=180/1.8
A=100
Answer: The measurement of angle A is 100º.
Tan(A) = opposite / adjacent
if we call opposite "a" and adjacent "b"
tan(A) = a/b
then...
tan(B) = b/a
because it's on the other angle so "b" is now opposite angle B and "a" is adjacent.
So really you just need to take the reciprocal of the given values.
6. tan(A) = 1.25
reciprocal is flipping the value and using it to divide by 1.
you can keep as decimal , 1/1.25 = 0.8
or change to fraction
1.25 = 5/4
tan(B) = 4/5 or 0.8
7. tan(B) = 0.5
1/0.5 = 2
tan(A) = 2
8. tan(B) = 1
tan(A) = 1
When you are asked to solve an equation, you need to isolate the variable which is t in this case. To isolate t, you would divide both sides by -5 and be left with t=-6 which is the final answer.
I hope this helps.
The answer to this question is A. 31
Answer:

this is the equation of the tangent at point (-1,1/e)
Step-by-step explanation:
to find the tangent line we need to find the derivative of the function g(x).

- we know that



this the equation of the slope of the curve at any point x and it also the slope of the tangent at any point x. hence, g'(x) can be denoted as 'm'
to find the slope at (-1,1/e) we'll use the x-coordinate of the point i.e. x = -1

using the equation of line:

we'll find the equation of the tangent line.
here (x1,y1) =(-1,1/e), and m = 3/e


this is the equation of the tangent at point (-1,1/e)