Find measure c round to the nearest degree 8 7 13

Work Shown:

Use the law of cosines. Plug in the given values and solve for angle C.

c^2 = a^2 + b^2 - 2*a*b*cos(C)

8^2 = 7^2 + 13^2 - 2*7*13*cos(C)

64 = 218 - 182cos(C)

218 - 182cos(C) = 64

-182cos(C) = 64-218

-182cos(C) = -154

cos(C) =  -154/(-182)

cos(C) = 11/13

C = arccos(11/13)

C = 32.204227503972

When rounding to the nearest whole number, we get roughly 32 degrees.

a

step-by-step explanation:

answer: the value of b is 24 + 3t / (4- t ) = b

solution:

step 1 : find the slope using the formula below with the c (t, 3) and d(4, -3)

m = y2-y1 / x2 - x1

m = -3 -3 / 4-t

m = -6/4-t

to find the value of   b use the equation given in the question

note : use any of the pair given c or d in the equation to find the value of b i will be using d ( 4, -3)

y = mx+ b

3 = (-6/4-t)(4) + b don't forget to take the lcm

b = (36 - 3 t ) / ( 4 - t )