Answer:
see explanation
Step-by-step explanation:
The sum of the 3 angles in a triangle = 180°
Subtract the sum of the 2 given angles from 180 for B
B = 180° - (90 + 39)° = 180° - 129° = 51°
Using the tangent and sine ratios in the right triangle for b and c
tan39° =
= 
Multiply both sides by b
b × tan39° = 27 ( divide both sides by tan39° )
b =
≈ 7.5 ( to the nearest tenth )
sin39° =
= 
Multiply both sides by c
c × sin39° = 27 ( divide both sides by sin39° )
c =
≈ 28.0 ( to the nearest tenth )
A = y(9 + 3x) factor y out of 9y+3yx, then devided both sides by (9+3x)
A/(9+3x) = y
We are looking for two consecutive integers whose squares sum up to 41. A consecutive integer means that one integer comes directly after the other, or is just added to 1. Since 16+25=41 , our two numbers must be 4 and 5.



Image attached below for graph.