In triangle ABC,
AC = 12/ (sin30) = 12 / (1/2) = 24
DC = 24-x
DB = DC tan 30 = (24-x) tan30 <span>=(24−x)/</span><span>√3
</span>
In triangle ADB using Pythagorean Theorem<span><span>x2</span>+((24−x)/<span>√3</span><span>)2</span>=<span>12^2</span></span><span><span>x2</span>+(24−x<span>)^2</span>/3=<span>12^2</span></span><span>3<span>x2</span>+(24−x<span>)^2</span>=432</span><span>4<span>x2</span>−48x+576=432</span><span>4<span>x2</span>−48x+144=0</span><span><span><span>x2</span>−12x+36=0
x1 = x2 =6
AD = AC - DC = 24- (24-x) = 6</span></span>
Answer:
1. 81
2. 108 1/2
3. 189 1/2
Step-by-step explanation:
Answer:
y = 39
Step-by-step explanation:
550 x 
= 
x 11 + y
550 x 
= x 11 x 11 + y
550 x x 
= 11 x 11 + y
550 = 11 x 11 + y
= 
x 11 + y
50 = 11 + y
50 - 11 = y
39 = y
Yep that looks about right. I would say that works. Good job. You're doing great
