Answer fast its due tonight 01/19 <3 is the angle adjacent or vertical? then find the value of x.

please give step by step explanation aswell , thank you!

x = 19

Step-by-step explanation:

Vertical opposite angles are formed when two straight line intersects each other. Therefore, the angles are vertical angles.

To find the value of x, set both angles equal to each other, since vertical angles are congruent.

Thus:

5x + 44 = 8x - 13

5x + 44 - 8x = 8x - 13 - 8x (subtraction property of equality)

-3x + 44 = - 13 (simplification)

-3x + 44 - 44 = - 13 - 44 (subtraction property of equality)

-3x = 57 (simplication)

-3x/-3 = 57/-3 (division property of equality)

x = 19

sec ф = 5/3 (quadrant 4)

let x = base

y = perp

z = hypotenuse

sec ф = hypotenuse/base = 5/3

⇒ z = 5 and x = 3

finding y:

z² = x² + y²

5² = 3² + y²

y² = 25-9

y² = 16

y = 4

now finding all other geometric functions of theta:

sin ф = y/z = 4/5

sin ф = -4/5 (sin is negative in the 4th quadrant)

cos ф = x/z = 3/5

cos ф = 3/5 (cos is positive in 4th quadrant)

tan ф = y/x = 4/3

tan ф = -4/3 (tan is negative in 4th quadrant)

cosec ф = z/y = 5/4

cosec ф = -5/4 (cosec is negative in the 4th quadrant)

cot ф = x/y = 3/4

tan ф = -3/4 (tan is negative in 4th quadrant)

step-by-step explanation: