Triangle PQR has vertices P(2,−4), Q(4,−5), and R(7,−2). Triangle PQR is translated 6 units left and 3 units up to produce Triangle P′Q′R′. Complete the table with the coordinates of the vertices of Triangle P′Q′R′.

What number produces an irrational number when multiplied by -1.25

Ariana starts with 100 milligrams of a radioactive substance. the amount of the substance decreases by 20% each week for a number of weeks, w. the expression 100(1−0.2)w finds the amount of radioactive substance remaining after w weeks. which statement about this expression is true? a) it is the difference between the initial amount and the percent decrease. b) it is the difference between the initial amount and the decay factor after w weeks. c) it is the initial amount raised to the decay factor after w weeks. d) it is the product of the initial amount and the decay factor after w weeks.

`if you have a set of parallel lines a and b cut by transversal x, if angle 1 = 167 degrees, what is angle 4 and why. also what is the measure of angle 5 and why? you need to use the names of the angle relationship and explain. ''.