Problem 2. [15 ptsl ABCD is a nonsimple quadrilateral. P Q, R, and S are midpoints...
Problem 2. [15 ptsl ABCD is a nonsimple quadrilateral. P Q, R, and S are midpoints on AB, BC,CD and AD respectively. Show that PQRS ia a parallelogram A1 Problem 2. [15 ptsl ABCD is a nonsimple quadrilateral. P Q, R, and S are midpoints on AB, BC,CD and AD respectively. Show that PQRS ia a parallelogram A1
if O any point within the triangle ABC and P,Q,R are midpoints of the sides AB,BC,CA respectively prove that OA+OB+OC=OP+OQ+OR
Problem 2. [25 pts) Side AB of the square ABCD is extended to P, A - B - P, so that BP 2 AB. With M the midpoint of DC, BM is drawn meeting AC at Q. PQ meets BC at R. Using Menelaus' theorem find the ratio R. P C M Problem 2. [25 pts) Side AB of the square ABCD is extended to P, A - B - P, so that BP 2 AB. With M the midpoint...
Problem IIl Given the frame ABCD below determine: a) the internal forces just above the 20-kip concentrated force (on member AB) b) the internal forces at 4.45 ft from B (on member BC) c) the internal forces at midpoint between C and D (on member CD) 2 K S 20 6 S' Notes: Problem IIl Given the frame ABCD below determine: a) the internal forces just above the 20-kip concentrated force (on member AB) b) the internal forces at 4.45...
QUESTION 1 Quadrilateral WXZY is a square. If the measure of angle XYZ = 4x + 15, find the value of x. 15 15 18.75 7.5 2 points QUESTION 2 Determine whether parallelogram JKLM with vertices J(-1, 1), K(4, 1), L(4, 6) and M(-1, 6) is a rhombus, square, rectangle or all three. rhombus square rectangle rhombus, square and rectangle 2 points QUESTION 3 In rectangle JKLM, JK is equal to 12 feet, and LN is equal...
1. Use the DPP to decide whether the following sets of clauses are satisfiable. (a) {{¬Q,T},{P,¬Q},{¬Q,¬S},{¬P,¬R},{P,¬R,S},{Q,S,¬T},{¬P,S,¬T},{Q,¬S},{Q,R,T}} (b) {{¬Q,R,T},{¬P,¬R},{¬P,S,¬T},{P,¬Q},{P,¬R,S},{Q,S,¬T},{¬Q,¬S},{¬Q,T}} 2. Decide whether each of the following arguments are valid by first converting to a question of satisfiability of clauses (see the Proposition), and then using the DPP. (Note that using DPP is not the easiest way to decide validity for these arguments, so you may want to use other methods to check your answers) (a) (P → Q), (Q → R),...
determine whether the argument is balud usinf the eight rules of standard deduction Page 2) 1.-P → (Q v (R & S)) 2. P→Q 3. -Av Q 4-Q / ~RvS 3) 1, ~P → Q 4. S Page 2) 1.-P → (Q v (R & S)) 2. P→Q 3. -Av Q 4-Q / ~RvS 3) 1, ~P → Q 4. S
3- (SKMMIH3/SME2113) from plastic having modulus of elasticity, E-4.0GPa a) Bar ABCD shown in Figure Q3a is made The bar consists of three segments, AB, BC, and CD. Segment AB is hollow and segments BC and CD are solids If the shortening (contraction) of bar ABCD is limited to 4.0 mm, determine the maximum allowable force P to be applied at C. (8 marks) 90 mm ΟΙ 00 mm 1080 min PL 500 mm 250 mm 250 mm Figure Q3a...
Additional problem 1 Let AABC be a triangle, let be the bisector of the angle ZCAB Let P be the intersection of and BC. Let R be the point on the line AB such that AR-AC, and let X-APnRC. Let Q denote the intersection point between the line through B and X and AC. (a) Show that the triangle AARC is isosceles, and deduce that RX-XC. (b) Apply Menelaus's theorem to the triangle AARC with the line through B, X,...
Example 1. RP 2. Q R 1:: Q = P. Answer 11. RP 2. Q R 3. Q->P (Premise) (Premise) /.. Q->P [1, 2, CA Construct deductions for each of the following arguments using Group I rules. (4) es 1. P 2. (R & S) v Q 3. NP "QI.. "(R & S) 1. P 2. "(R & S) VQ 3.`p NQ 4 5. (Premise) (Premise) (Premise)/A MR & S) If