RSTU is a parallelogram. If m∠TSV = 31° and m∠SVT = 126°, explain how you can find the measure of ∠URV. Show all steps of your work, and refer to any properties of triangles, parallelograms, or triangle congruency theorems as necessary to justify your response.

23°

Step-by-step explanation:

Point V is the point of intersection of the diagonals of the parallelogram. The opposite sides of a parallelogram are equal. The diagonals of a parallelogram bisect each other, also the diagonal of a parallelogram separates it into two congruent triangles.

m∠TSV + m∠SVT + m∠VTS = 180° (sum of angles in a triangle)

31 + 126 + m∠VTS = 180

157 + m∠VTS = 180

m∠VTS = 180 - 157

m∠VTS = 23°

ΔVTS = ΔVRU (diagonal of a parallelogram separates it into two congruent triangles)

Therefore ∠URV = ∠VTS = 23°

f(x) has value 150 at x= 0

and 0 at x= 3

so d(f(x))/dt = slope = -150/3 = -50

  or  

step-by-step explanation:

if the four friends split the cost, p, of the pizza evenly, then each friend pays one-fourth of the cost of the pizza.

the expression is   or