Find the value of each variable.

Step-by-step explanation:

To find the value of a we must first find the value of b

To find b we use sine

sin ∅ = opposite / hypotenuse

From the question

b is the opposite

The hypotenuse is 10

We have

sin 60 = b / 10

b = 10 sin 60

To find a we use sine

sin 30 = b/a

b = 5√3

That's

sin 30 = 5√3/a

a = 5√3 / sin 30

Since we have both a and b we can find c using either a or b

To find c using a we use cosine

cos 30 = c / a

a = 10√3

c = a cos 30

c = 10√3 cos 30

To find d we use cosine

cos 60 = d / 10

d = 10 cos 60

Hope this helps you

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'.

25% is the answer