Answer:
5.7
Step-by-step explanation:
The correct answer is 6 :]
The length is 46.10 cm.
Since ∠BCA = 50.5°, ∠ACD = 180-50.5 =129.5°. This means that ∠CAD = 180-(129.5+35.8) = 14.7°. We can now use the law of sines;
sin 14.7/20 = sin 35.8/x
Cross multiply:
x*sin 14.7 = 20*sin 35.8
Divide both sides by sin 14.7:
x = (20*sin 35.8)/(sin 14.7) = 46.10
So, first you must find the remaining angle measure. To do this add 25 and 90 then subtract from 180. The remaining angle measure is 65 degrees.
Next, use tangent, cosine, or sine to find the remaining side lengths.
I used sine of 25 which is opposite of hypo. which is sine 25 = y/43.
Multiply both side by 43 and you get y=18.17
Do the same to find x, but use the sine of 65, and you get sine 65 = x/43.
Multiply both sides by 43 and you get x=38.97
Hope this helped!
<span>y = 2x + 5
x + y = 23</span>
