Which of the following statements correctly describes a property that trapazoids and rectangles always have in common

both have at least one angle that measures 90 degreese

both have exactly one pair of parallel sides

both have opposite angles that are congruent

both have 4 sides

both have 4 sides

Step-by-step explanation:

Considering all the properties given in the question :

(i) both have at least one angle that measures 90 degrees.

The is only peculiar to rectangle because all angle are equal to 90 degrees but it is not so for trapezoid , while for trapezoid two pairs of adjacent angles add up to 180 degrees

(ii) both have exactly one pair of parallel sides .

This is peculiar to trapezoid because rectangle has two pair of parallel sides

(iii) both have opposite angles that are congruent

This is only for rectangle

(iv) both have 4 sides .

Both rectangle and trapezoid are quadrilateral which means they both have 4 sides

the answer is c. 23/3

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.