Find the value of x and y rounded to the nearest tenth.
a. x=48.1,y=46.4
b. x=48.1,y=139.3
c. x=24.0,y=139.3
d. x=24.0,y=46.4

(D)

Step-by-step explanation:

From the given figure, we have

AB=34 and AD=x and BD=y.

Since, ∠D=45° and ∠B=30°, therefore using the angle sum property, we have

∠A+∠B+∠D=180°

⇒∠A+45+30=180

⇒∠A=105°

Now, using the sine formula, we have

⇒

⇒

⇒

And,

⇒

⇒

⇒

Therefore, the values of x and y are 24 and 46.4 respectively.

Thus, option D is correct.

a) y = -3x +2

b) y = 1/2x -6

these 2 can be combined into one equation.

-3x +2 = .5x -6

8 = 3.5x

x = 8 / 3.5 = 2.2857142857

y = -3 * (8 / 3.5) +2

y = (-24 / 3.5) + 2

y = -4.8571428571

step-by-step explanation: