The answer to the equation is 15
6x=7-4y
Move 'y' to one side
6x-7=-4y
6x-7
------- = y
-4
12.7
Using the Pythagorean theorem, you can easily calculate the length of BC.
So:
BC = sqrt(12^2 - 6^2) = sqrt(144 - 36) = sqrt(108) = 10.39230485
Now consider triangle BCD. You know all three angles and one side. Using the law of sines you know that ratio of the sine of each angle over the opposite side is constant. So:
BC/sin(55) = CD/sin(90)
BC/sin(55) = CD/sin(90)
sin(90)BC/sin(55) = CD
1*BC/sin(55) = CD
BC/sin(55) = CD
10.39230485/0.819152044 = CD
12.68666167 = CD
12.7 = CD
Answer:
8.62
Step-by-step explanation:
a squared + b squared = c squared
15 squared + b squared = 17.3 squared
225 + b squared = 299.29
b squared = 74.29
b = 8.619