Answer:
x = 113
Step-by-step explanation:
Vertical angles are congruent. To the left of 113 would be 67 but x is not.
Answer:

Step-by-step explanation:
By the Pythagorean theorem, triangle BCD has

and triangle ABD has
.
Substituting the first equation into the second equation for
gives the equation

Now triangle ABC has

Expanding out the left side,
.
Now substitute the equation from before,
, into the new equation.


We work to isolate
by adding
to both sides of equation and subtracting
from both sides.

Divide both sides by 2 and you get 
Assume that x is positive and square root both sides to get the final result of

Answer:x
Step-by-step explanation:
Answer:
y = 8(.88)^x
y = 4.221855 for the fifth reduction
Step-by-step explanation:
We can use the formula
y =ab^x
where a =the initial value
b= 1 -percent decrease
a = 8 inches
b = 1-12%
= 1-.12
= .88
y = 8 (.88)^x
The fifth reduction is
y = 8 (.88) ^5
y = 4.221855