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Step-by-step explanation:

Number 9.

To find x use the law of sines

                   sin x / 8 = sin 95 / 12

Solve for sin x

                   sin x = 8 sin 95 / 12

                   sin x = 0.664

                        x = 41.6°

Number 10

To find x use law of cosines

                    x² = 6² + 8² - 2(6)(8)cos100

                    x² = 36 + 64 - 96(-0.174)

                    x² = 100 + 16.67

                    x² = 116.67

                   x = 10.80

Step-by-step explanation:

9) to determine x, we would apply the sine rule which is expressed as

a/SinA = b/ SinB = c/SinC

Therefore,

12/Sin95 = 8/Sinxx

Cross multiplying, it becomes

12Sinx = 8Sin95 = 8 × 0.9962

Sinx = 7.9696/12 = 0.6641

x = Sin^-1(0.6641)

x = 41.61°

10) we would apply the cosine rule. It is expressed as

a² = b² + c² - 2abcosA

Therefore,

x² = 6² + 8² - 2 × 6 × 8 × Cos 100

x² = 36+ 64 - 96 × - 0.1736

x² = 100 + 16.6656 = 116.6656

x = √116.6656

x = 10.8

whatare you sayig

step-by-step explanation:

x = ±sqrt(10)

step-by-step explanation:

5 - 2x² = -15

subtract 5 from each side

5-5 - 2x² = -15-5

-2x^2   = -20

divide by -2 on each side

-2x^2   /-2= -20/-2

x^2 =10

take the square root on each side

sqrt(x^2 )=±sqrt(10)

x = ±sqrt(10)

check:

5 - 2x² = -15

+sqrt(10)

5 - 2(sqrt(10))² = -15

5 -2(10) = -15

5 -20 = -15

-15 = -15

-sqrt(10)

5 - 2(-sqrt(10))² = -15

5 -2(10) = -15

5 -20 = -15

-15 = -15