Analyze the diagram below and complete the instructions that follow.
find the value of x and the value of y.
a. x=4, y=8
b. x=7 , y=4√2
c. x=4√3 , y= 7√2
d. x=7√3 , y=4√2

D. x=7√3 , y=4√2

Step-by-step explanation:

Step 1: Lets assume an imaginary line from A to B to make the triangle ABC( (refer to the attached image).

AB = 4

BD = 3

Step 2: Find the value of y by the sin formula.

opposite = 4

adjacent = BC

hypotenuse = AC

sin (angle) = opposite/hypotenuse

sin (45) = 4/AC

√2/2 = 4/AC

AC = y = 4√2

Step 3: Find the value of x

Tan (45) = opposite/adjacent

1 = 4/CB

CB = 4

x = CB + BD

x = 4 + 3

x = 7

Therefore, the answer is D where x = 7 and y = 4√2

!!

$12. that is my answer.

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step-by-step explanation: