Use the given information and the diagram to answer the question. R
Q
1050
450
QR is parallel to TS
ZTOR = 105°
ZQTS = (3x) °
(3x)
1350
T
S
*not drawn to scale
What is the value of x?
A. 15
B. 25
C. 45
O
D. 75

Consider the polynomials given below. p(x) = x4 + 3x3 + 2x2 – x + 2 q(x) = (x3 + 2x2 + 3)(x2 – 2) determine the operation that results in the simplified expression below. 35 + x4 – 573 - 3x2 + x - 8 a. p+q b. pq c.q-p d. p-q

(c) the diagram shows the first three shapes of a matchsticks arrangement.first shape = 3second shape = 5third shape = 7given m represents the number of matchstick used to arrange the n'th shape.(i) write a formula to represent the relation between m and n. express m as the subjectof the formula.(ii) 19 matchsticks are used to make the p'th shape. find the value of p.

Graph the following system of linear inequalities. identify at least two points in the solution: y < 5 - 2x | x + 5y > -7