Question

PLEASEEE HURRRY!!!!!!!

Answer 1

the answer is D 9.2 units

Answer 2

Answer:

Option D. 9.2 units.

Step-by-step explanation:

In the ΔJKL ⇒ ∠J + ∠K + ∠L = 180

                      ∠J + 67 + 74 = 180° ⇒ ∠J = 39°

In the given triangle JKL we apply law of sines

$\frac{SinK}{JL}$ = $\frac{SinJ}{KL}$ = $\frac{SinL}{JK}$

Now we take $\frac{SinK}{JL}$  = $\frac{SinJ}{2.3}$

$\frac{Sin67}{JL}$ = $\frac{Sin39*}{2.3}$

JL = $\frac{(2.3)Sin67}{Sin39}$

$\frac{(2.3)(0.92)}{(0.6293)}$ = 3.36 units

Now $\frac{SinL}{JK}$ = $\frac{SinJ}{KL}$

$\frac{Sin74}{JK}$ = $\frac{Sin39}{2.3}$

JK = $\frac{2.3(Sin74)}{(Sin39)}$

    = $\frac{2.3(0.9613)}{(0.6293)}$

    = 3.51 units

So perimeter of the triangle = 3.36 + 3.51 + 2.3 = 9.15 units ≈ 9.2 units.

Option D is the answer.