Answer:
y=70°
z= 60°
w= 70°
Step-by-step explanation:
Since the two triangles are similar, we know that all of the corresponding angles must be the same. On the triangle on the left, we can see that the angle formed between sides AB and AC is 60°. This means that the same angle is formed at Z, which is in the same location on the triangle to the right. From there, we can find the missing angle, W, from the difference of 180°.
180°-50°-60°=70°.
The same way we found Z, we can also find Y, since it has to be the same as W.
You can't find slope intercept form because it is perpendicular so the equation is x= -8
Answer:

Step-by-step explanation:
Let's rewrite the left side keeping in mind the next propierties:


Therefore:

Now, cancel logarithms by taking exp of both sides:

Multiply both sides by
and using distributive propierty:

Substract
from both sides and factoring:

Multiply both sides by -1:

Split into two equations:

Solving for 
Add 4 to both sides:

Solving for 
Collect in terms of x and add
to both sides:

Divide both sides by e-2:

The solutions are:

If we evaluate x=4 in the original equation:

This is an absurd because log (x) is undefined for 
If we evaluate
in the original equation:

Which is correct, therefore the solution is:
