In △CDE , CD=14 , DE=9 , and m∠E=71∘ .

What is m∠D to the nearest tenth of a degree?

Enter your answer in the box.

m∠D = [ ]°

71.6 degrees

Step-by-step explanation:

We can use the law of sines:

Here, we have:

Solving for C, we have: 14 * sinC = 9 * sin71  ⇒  C = 37.4 degrees

To find angle D, we take 180 degrees and subtract angles E and C from it:

180 - 71 - 37.4 = 71.6 degrees.

Thus, the answer is 71.6 degrees.

Hope this helps!

71.6°

Step-by-step explanation:

CD/sinE = DE/sinC

14/sin(71) = 9/sinC

sinC = 0.60783337

C = 37.43300585

Angle D = 180 - 37.43300585 - 71

Angle D = 71.56699415

b

step-by-step explanation:

let soccer = x and golf = y

part a

1st equation: x + y = 125

2nd equation: x = y +45

part b

replace x in the 1st equation with the 2nd one:

y + 45 + y = 125

simplify:

2y + 45 = 125

subtract 45 from each side:

2y = 80

divide both sides by 2:

y = 80/2

y = 40

she plays golf for 40 minutes.

part c

no because she plays soccer for 45 minutes longer than golf 40 +45 =   85 minutes, not 80 minutes.