Answer:
x= 7
Step-by-step explanation:
[tex]\boxed{ \sinθ = \frac{opp}{hyp} }[/tex]
[tex] \sin A = \frac{a}{c} [/tex]
[tex] \frac{a}{c} = x + 2[/tex]
[tex]\boxed{ \cosθ = \frac{adj}{hyp} }[/tex]
[tex] \cos B = \frac{a}{c} [/tex]
[tex] \frac{a}{c} = 2x - 5[/tex]
Equating both expressions for a/c together:
x +2= 2x -5
Bring x terms to 1 side, constants to the other:
2x -x= 2 +5
x= 7
