Solve for x. (Geometry)

x = 7

Step-by-step explanation:

The indicated angles are vertical and congruent, thus

14x + 2 = 13x + 9 ( subtract 13x from both sides )

x + 2 = 9 ( subtract 2 from both sides )

x = 7

x= -3 and

step-by-step explanation:

to find the roots of a cubic, use division or factoring to find the factors then set equal to 0. as this is a difference of cubes, it factors into

where a is the cube root of .

here   this is 27 and the cube root of 27 is 3. so we write using the form:

.

set each factor to 0 and solve for x.

x-3=0

x=3

the quadratic expression does not factor and must be solved using the quadratic formula.

where a = 1, b=3, and c=9

this cubic has two complex roots.

the arc length is found by finding the circumference of the full circle (2xpixradius) and then dividing by 4 to find just one quarter of the circle (90 degrees).