I need help with these questions

The sum of all three angles of a triangle is always 180 degrees.

Step-by-step explanation:

4)

45 + 35.8 = a

180 - a = ?

5)

100 + 40.7 = a

180 - a = ?

6)

90 + 16.5 = a

180 - a = ?

ANSWER:

4) x = 99.2 (a is 80.8)

5) x = 39.3 (a is 140.7)

6) x = 73.5 (a is 106.5)

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