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.

5x+40

5(x + 8)

7x - 49

7(x - 7)

18x + 9

9(2x + 1)

15x - 10

5(3x - 2)

step-by-step explanation:

for number one all you have to do is factor 5 out of 5x + 40

for number 2 factor 7 out of 7x - 49

for number three factor 9 out of 18x + 9

for number four factor 5 out of 15x - 10

details

step-by-step explanation: