Please help with my geometry

92.99

Step-by-step explanation:

Since this is a right triangle sine can be used to find the missing side. Sine should be used because you have the opposite and are trying to find the hypotenuse. So, following SOH-COH-TOA, the equation should be . Then, isolate x; once x is isolated the equation should be . Finally, plug that into a calculator to get ≈92.99116, which rounds to 92.99.

x =-.20752

step-by-step explanation:

4^(x+2)=12

4^(x+2)=12

take the log base 4 on each side

log 4 (4^(x+2) = log 4(12)

we know log b(a^y) = y log b (a)

(x+2) log 4(4) = log 4 (12)

x+2 = log 4 (12)

we know   logb c = loga c/loga b

we want to convert to base 10   so a = 10

by default, we do not write the 10   c = 4   and b = 10

log4 10 = log 12/log 4

log4 10 = log 12/ log 4

x+2 = log 12/ log 4

subtract 2 from each side

x +2 -2 = log 12/ log 4 -2

x = 1.79248125 -2

x =-.20752

d. you cannot tell because there are no values shown.