If m is 21 inches, k is 34 inches, and ∠J measures 60°, then find j using the Law of Cosines. Round your answer to the nearest tenth.

j = 29.7 inches

Step-by-step explanation:

The following data were obtained from the question:

m = 21 inches

k = 34 inches

Angle L = 60°

j =?

Using Cosine rule, the value of j can be obtained as follow:

j² = m² + k² – 2mk Cos J

j² = 21² + 34² – 2 × 21 × 34 × Cos 60°

j² = 441 + 1156 – 1428 × 0.5

j² = 1597 – 714

j² = 883

Take the square root of both side

j = √883

j = 29.7 inches

Therefore, the value of j is 29.7 inches.

the image of (6, 9) under a dilation is (4, 6). the scale factor is

the answer is (-8,-5)

step-by-step explanation:

the endpoint to midpoint is half the length. the length is (-2,-1) so when you are at the midpoint just add it to it to find your answer -6+(-2)= -8 and -4+(-1)=-5 so (-8,-5)