The triangle below is isosceles. If ∠C≅∠B, then what is BC, in units?

Step-by-step explanation:

If angles C and B have equal degrees then the side AC is also equal to  side AB in length and you can make their equations equal as well and solve for X.

2x+16=7x+6

get X's all on same side and the constants all on the other side,  

-2x +2x+16=7x+6+-2x

The X's on the left cancel out.

16=5x+6

-6+16=5x+6+-6

add -6 to each side.  On the right the 6 is now cancelled out.

10=5X

divide each side by 5 to cancel out the 5

10/5= 5X/5

2=X .  ANSWER

for this case we have by definition, if two lines are perpendicular, then the product of their slopes is -1.

then, given the following line:

so,

we are looking for m_ {2}:

then, the line is given by:

we find "b" replacing the given point:

finally, the equation is:

option c

you didn't post any answer choices, so its not 100% clear what your teacher is looking for

however, log(15/7) is equivalent to log(15) - log(7)

i'm using the rule log(x/y) = log(x) - log(y)