Solve for x. round your answer to two decimal places. show your work for full credit. a right triangle is shown with the hypotenuse labeled x. one angle has a measure of thirty degrees, and the opposite leg has a length of ten.

answer

find out the length of the hypotenuse.

to prove

as the diagram is given below.

by using the trignometric identity.

as given

a right triangle is   with the hypotenuse labeled x.

one angle has a measure of thirty degrees, and the opposite leg has a length of ten.

∠b = 30° , ab = x , ac = 10 unit

put all the values

x = 2 × 10

x = 20 units

therefore the length of hypotenuse is 20 units.

for finding the midpoint of any given 2 pair of points simply add the respective x coordinates with other x coordinate and the y coordinate with other y coordinate and divide them by 2

in your question it will be :

(3+1)/2 for the x coordinate of mid point i.e 2

[8+(-4)]/2 for the y coordinate of midpoint i.e 2

so coordinates of mid point of points (3,8) and (1,-4) will be (2,2)

option 3 . (5x + 1) - (-10x + 6)

step-by-step explanation:

option 1 :

(4x + 3) + (-9x + 4)

or 4x+3 -9x + 4

or -5x + 7

option 2

(x - 2) - (6x - 9)

or x-2-6x + 9

or -5x + 7

option 3

(5x+ + 6)

or 5x + 1 + 10x -6

or 15x -5

option 4

-4x+2x+7-3x

-7x + 2x + 7

-5x + 7

hence only option 3 did   not satisfy the given simplify expression.