If 2J measures 45'
M measures 40', and jis 7 feet, then find m using the Law of Sines. Round your answer to the nearest tenth.
6.4 ft
7.7ft
8.5 ft
23.7 ft

the answer is B.

Step-by-step explanation:

because it is rounded to the nearest  tenth of the answer

6.4ft

Step-by-step explanation:

i got it right on the test.

<J = 45°

<M = 40°

j = 7 ft

By law of sines:

j/sin(J) = m/sin(M)

7/sin(45) = m/sin(40)

m = 6.4 ft

(b) 240

step-by-step explanation:

first, we use the pythagorean formula using the given side lengths to find x. then we use x to find the side lengths. then we add the side lengths to find the perimeter.

pythagorean theorem formula:

a^2 + b^2 = c^2

(x - 20)^2 + (x - 40)^2 = x^2

x^2 - 40x + 400 + x^2 - 80x + 1600 = x^2

x^2 -120x + 2000 = 0

(x - 100)(x - 20) = 0

x - 100 = 0 or x - 20 = 0

x = 100 or x = 20

we see that the solution x = 20 must be discarded because it will give a negative side length and a side length of 0. the only valid solution is x = 100.

perimeter = sum of the lengths of the sides

perimeter = x + x - 20 + x - 40

perimeter = 3x - 60

replace x with 100.

perimeter = 3(100) - 60

perimeter = 300 - 60

perimeter = 240