In ΔPQR, \overline{PR} PR
is extended through point R to point S, \text{m}\angle PQR = (3x+12)^{\circ}m∠PQR=(3x+12)
∘
, \text{m}\angle RPQ = (3x-11)^{\circ}m∠RPQ=(3x−11)
∘
, and \text{m}\angle QRS = (8x-9)^{\circ}m∠QRS=(8x−9)
∘
. What is the value of x?x?

Suppose there is a simple index of three stocks, stock abc, stock xyz, and stock qrs. stock abc opens on day 1 with 4000 shares at $3.15 per share. stock xyz opens on day 1 with 5000 shares at $4.30 per share. stock qrs opens on day 1 with 6000 shares at $4.60 per share. the price of stock abc on day 8 begins at $3.50. the price of stock xyz on day 8 begins at $3.90. stock qrs opens on day 8 with a price of $4.50 per share. assume that each stock has the same number of shares that it opened with on day 1. what is the rate of change of this simple index over 1 week?

Simplify the expression. -2/5(10+15m-20n)

In right ∆abc shown below, the midpoint of hypotenuse ac is located at d and segment bd is drawn. if ab = 12 and bc = 16, then explain why bd = 10. hint: consider what you know about the diagonals of a rectangle.