The angle measures of quadrilateral rstu are shown. m∠r = (2x)° m∠s = (3x – 35)° m∠t = (x + 35)° the measure of angle u is unknown. can quadrilateral rstu be a parallelogram? yes, opposite angles r and t are congruent to each other if x = 35. yes, consecutive angles r and s are congruent to each other if x = 35. no, if x = 35, all three given angles measure 70°. the fourth angle would measure 150°. no, if x = 35, the three given angle measures make it impossible for the figure to be a quadrilateral.

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 8 in 8,420 is in the thousands place so it's value is 8 thousand.

the 8 in 6,870 is in the hundreds place so it's value is 8 hundred.

divide 8000 by 800 to find the answer:

8000 / 800 = 10

the 8 in 8,420 is 10 times greater than the 8 in 6,870