Find the exact value of x using the rules of special right triangles. show all of the work.

this means do not give the answer as a decimal - the answer should have a square root in it.

Using the given angle use the law of Sines:

sin(angle) = opposite leg / hypotenuse

sin(45) = X / 6

x = 6 * sin(45)

x = 6 * √2/2

x = 3√2

ad = ae + ed = y + 7

similar triangles therefor

ac/ab = ad/ae

6/4 = (y + 7) / y

cross multiply

6y = 4(y + 7)

6y = 4y + 28

2y = 28

y = 14

step-by-step explanation:

it has the same slope and a different y-intercept

hope this : )