In ΔUVW, v = 8.1 cm, u = 7.6 cm and ∠U=68°. Find all possible values of ∠V, to the nearest 10th of a degree.

The possible values for ∠V is 81.2° and 98.8°

Step-by-step explanation:

In ΔUVW, v = 8.1 cm, u = 7.6 cm and ∠U=68°. Find all possible values of ∠V, to the nearest 10th of a degree.

We solve the above question using Sine rule

Sine rule

= u/sin U = v/sin V

In ΔUVW, v = 8.1 cm, u = 7.6 cm and ∠U=68°

Hence:

7.6/sin 68° = 8.1/sin V

Cross Multiply

7.6 × sin V = sin 68° × 8.1

sin V = sin 68° × 8.1/7.6

V = arc sin ( sin 68° × 8.1/7.6)

V = arc sin (0.99)

V = 81.18°

Another value for V = 180° - 81.18°

= 98.82°

Therefore, the possible values for ∠V approximately to the nearest tenth of a degree is 81.2° and 98.8°

d, x=8

step-by-step explanation:

simplifying

4x + -5 = 2x + 11

reorder the terms:

-5 + 4x = 2x + 11

reorder the terms:

-5 + 4x = 11 + 2x

solving

-5 + 4x = 11 + 2x

solving for variable 'x'.

move all terms containing x to the left, all other terms to the right.

add '-2x' to each side of the equation.

-5 + 4x + -2x = 11 + 2x + -2x

combine like terms: 4x + -2x = 2x

-5 + 2x = 11 + 2x + -2x

combine like terms: 2x + -2x = 0

-5 + 2x = 11 + 0

-5 + 2x = 11

add '5' to each side of the equation.

-5 + 5 + 2x = 11 + 5

combine like terms: -5 + 5 = 0

0 + 2x = 11 + 5

2x = 11 + 5

combine like terms: 11 + 5 = 16

2x = 16

divide each side by '2'.

the answer is c just got it on ed

step-by-step explanation: