The image below shows two parallel lines cut by a transversal. what is the value of x?

x will have a value of 20, which gives the angles a value of 90 degrees each.

Since they are alternating interior angles of a parallel lines, cut by a transversal, they are congruent. Therefore, you can set them equal to each other and solve for x.

5x - 10 = 4x + 10

x - 10 = 10

x = 20

Now that we have this, we can plug into either to find the angle measurements.

4x + 10

4(20) + 10

80 + 10

90

x=-2

infinite number of lines, so there is an infinite number of equations.

step-by-step explanation:

there are an infinite number of line that passes through the point (-2,5)

x=-2   is one line that passes through the point

y = 5 is another line that passes through the point

(these two lines are perpendicular to each other).

since the number of   numbers are infinite and the slope is the ratio of two numbers,(change in y over change in x) we can have an infinite number of slopes.     our only condition is that it passes through the point (-2,5)

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.