Find X round to the nearest tenth.

38.3 =x or x=141.8

Step-by-step explanation:

Using the law of sines

sin 27         sin x

=

11                   15

Using cross products

15 sin 27 = 11 sin x

15/11 sin 27 = sin x

Taking the inverse sin of each side

sin^-1 (15/11 sin 27 )= sin ^-1(sin x)

38.24883302 =  x

To the nearest tenth

38.2 =x

or

x=141.8

38.2 degrees

Step-by-step explanation:

Use the law of sines

(sin 27)/11=(sinx)15

15sin(27)=11sin(x)

[15sin(27)]/11=sin(x)

x=arcsin[15sin(27)]/11

rounded to nearest tenth, x=38.2

there are many solutions.

step-by-step explanation:

step 1: simplify both sides of the equation.

4x+6=4x^2+10x−4

step 2: subtract 4x^2+10x-4 from both sides.

4x+6−(4x^2+10x−4)=4x^2+10x−4−(4x^2+10x−4)

−4x^2−6x+10=0

step 3: factor left side of equation.

−2(2x+5)(x−1)=0

step 4: set factors equal to 0.

x=-5/2 or x=1