If segment fd = 30 units and segment fe = 55 units, what is the value of a? round the solution to the nearest hundredth. triangle def in which angle f is a right angle, angle d measures a degrees, and angle e measures b degrees

a=61.39°

Step-by-step explanation:

we know that

In the right triangle DEF

The tangent of angle a is equal to divide the opposite side to angle a (FE) by the adjacent side to angle a (FD)

tan(a)=FE/FD

substitute the given values

tan(a)=55/30

a=arctan(55/30)

a=61.39°

the answer is d

step-by-step explanation:

y+3=-4(x-2)

y+3=-4x+8

  -3         -3  

y=-4x+5

c

step-by-step explanation:

there is vertical asymptote at x = 2 and x = 0

vertical asymptote occurs at the points where the denominator is 0. so we can say that

x = 2 occurs when there is a factor (x-2) in the denominator, and

x = 0 occurs when there is a factor "x" in the denominator

thus, the denominator of the equation would have "x * (x-2)", this is option c only. that's the correct answer.