Find the value of x to the nearest degree

Trigonometry.

We must use the SOH CAH TOA rule to find the missing angle, x.

Given that the two known sides: opposite to angle x is 7 and the adjacent side to angle x is 11, we use the tan sign because tan is for TOA which is (opposite/adjacent).

So we can write the equation like this:

tan(x)= 7/11

To get x, inverse tan on calculator:

Tan^-1 (7/11) = 32.4711...

Round it off = 32 degrees.

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step-by-step explanation:

i used the pitagoras theoreme

answer: integers are just whole numbers: positive, negative, and zero.

i = {-∞, -2, -1, 0, 1, 2, 3, ∞}

let x = 1st integer

let y = 2nd integer

x = 3y + 17   {equation 1}

xy = -24         {equation 2}

substitute 3y+17 in place of x n equation 2

and solve for y.

(3y+17)y = -24

3y2 + 17y = -24

3y2 + 17y + 24 = 0

from quadratic equation:

y = [-17±√(172-4(3)(24))]/(2(3))

y = (-17 ±√1)/6

y = (-17+1)/6   or     y = (-17-1)/6

y = -16/6           or     y = -18/6

y = -2 2/3         or   y = -3

since we are dealing with

y = -3

x = 3y+17 = -9+17 = 8

the integers are -3, 8

step-by-step explanation: