<span>m//n if the external alternating angles are equal, that means:
(3x+12)°=48°
Solving for x:
3x+12=48
3x+12-12=48-12
3x=36
3x/3=36/3
x=12
Answer: Option B. 12</span>
Answer: D
Step-by-step explanation:
-7 isn't greater than -4
Answer:
percent increase=135%
Step-by-step explanation:
if population is increased from 14,523 to 16,489, then we get the increase of 16489-14523=1966
to find the percent increase, we need to use the following formula of percent increase
%
actual increase=1966
original amount=14523
so percent increase is found as
%
percent increase=0.1353x100%
percent increase= 135.3%
to round to the nearest percent we get
percent increase=135%
On the left we have a 30-60-90 triangle. Find the length of side JL:
Since sin 30 deg = |JL| / ( 8sqrt(2) ), |JL| = 8 sqrt(2)*(1/2) = 4 sqrt(2).
Now, on the right, we have a 45-45-90 triangle with hypotenuse 4 sqrt(2).
Since c^2 = a^2 + b^2 (Pyth. Theorem), 16(2) = x^2 + x^2, or 32 = 2x^2, or 16 = x^2. Thus, x = 4 (answer)