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.

answer: 2/4

step-by-step explanation:

arithmetic sequence

step-by-step explanation:

given that a sequence has terms as

19, 15, 11,

this is represented on a graph

the pattern indicates that the sequence is an arithmetic sequence with i term

a=19 and common difference d =-4

any general term

thus the sequence is reduced by 4 for each successive term starting from 1 and nth term is

24-5n.

first negative term would start after 5th term

5th term =24-25< 0

from 5th term onwards the sequence would be negative.