The sail of a boat is in the shape of a right triangle, as shown below: which expression shows the length, in meters, of the base of the sail?

Step-by-step explanation:

Let x represent the base of the sail.

We have been given that the sail of a boat is in the shape of a right triangle. We are asked to find the expression that shows the length, in meters, of the base of the sail.

We can see from our given triangle that opposite angle to the base of the sail is 50 degrees and hypotenuse is 7 meters.

We know that sine relates the opposite side of right triangle to hypotenuse and cosecant relates hypotenuse of right triangle to opposite.

Therefore, the expression represents the length in meters, of the base of the sail.

mia khalifa

step-by-step explanation:

simplifying

5(x + -6) = 2(x + 3)

reorder the terms:

5(-6 + x) = 2(x + 3)

(-6 * 5 + x * 5) = 2(x + 3)

(-30 + 5x) = 2(x + 3)

reorder the terms:

-30 + 5x = 2(3 + x)

-30 + 5x = (3 * 2 + x * 2)

-30 + 5x = (6 + 2x)

solving

-30 + 5x = 6 + 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.

-30 + 5x + -2x = 6 + 2x + -2x

combine like terms: 5x + -2x = 3x

-30 + 3x = 6 + 2x + -2x

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

-30 + 3x = 6 + 0

-30 + 3x = 6

add '30' to each side of the equation.

-30 + 30 + 3x = 6 + 30

combine like terms: -30 + 30 = 0

0 + 3x = 6 + 30

3x = 6 + 30

combine like terms: 6 + 30 = 36

3x = 36

divide each side by '3'.

x = 12

simplifying

x = 12

this should .