9. Given: KM I JL, JK I KL K Prove: AJKL - AJMK (Using a two-column proof) M L Statements Reasons 4
can you do 11 and 12 please. E C 7. If AE-3, AB 5, and AD 4, find AC. 8. If AD-5, AB = 8, and AC = 7, find AE. 9. If BD = 3, EC = 4, and AC-9, find AD. 10. If AD = EC, DB = 4, and AE = 9, find AD. 11. If DE5, BC 7, and AD4, find AB. 12. If ED = 7, BC = 10, and AE = 2 + EC,...
15)Find the value of x, given DE¯¯¯¯¯¯¯¯∥BC¯¯¯¯¯¯¯¯, AD=x+33, BD=x+13, AE=18, and CE=10. Question 15 Find the value of , given DE || BC, AD = 7+33, BD = 1 + 13, AE = 18, and CE = 10. B D P с E a) O 12 b) 09 c) O 10 d) O 15 N e) None of the above
Use the following to answer question : p/ 12 40 M 5. If you have proved that PMM Q how is point M related to PQ? Exercise below, complete the missing statements/reasons of the proof. Given: ZBZE and AB AE Prove: BC DE B Statements (1) ZB E LE and AB = AE Reasons (1) Given (2) Identity (3) AABC - AAED (4) BC - DE
A 5. GIVEN: AABC is isosceles D is the midpoint of BC FDI AC DE 1 AB PROVE: FD - DE F E С B
Given the following relation schemas and the sets of FD's: a- R(A,B,C,D) F={ABẠC,C7D, D´A, BC+C} b- R(A,B,C,D) F={BẠC, BD, AD>B} C- R(A,B,C,D) F={AB-C, DC+D, CD+A, AD+B} d- R(A,B,C,D) F={AB=C, C+D, D™B, DE} e- R(A, B, C, D, E) F= {AB+C, DB+E, AE>B, CD+A, ECD} In each case, (i) Give all candidate keys (ii) Indicate the BCNF violation Give the minimal cover and decompose R into a collection of relations that are BCNF. Is it lossless? Does it preserve the dependencies?...
(kad) bak dvy Statements 1) bk 2)k 3) - Ad) 4) KA-d 5) 6) dvy Reasons 1) Premise 2) CS 1) 3) Premise 4) DME 3) 5) DS 2), 4) 6) DA 5) I d The above argument is valid The proof presented for this argument A contains an error on line 2). B contains an error on line 6). C. contains an error on line 4). Dis entirely correct. E contains an error on line 5).
3. Let a, b, c E Z such that ca and (a,b) = 1. Show that (c, b) = 1. 4. Suppose a, b, c, d, e E Z such that e (a - b) and e| (c,d). Show that e (ad — bc). 5. Fix a, b E Z. Consider the statements P: (a, b) = 1, and Q: there exists x, y E Z so that ax + by = 1. Bézout’s lemma states that: if P, then...
Q.1. A plane truss is loaded and while solving for internal forces in truss members we are able to formulate the ten equations given below: Ax +AD0; Ay +AB074+ BC+H(3/5) BD 0 BC +(3/5) CE-0 CD + (4/5) BD -0; Ax, Ay and Ey are support reactions, while the letters BC, CD etc. represent the internal forces in corresponding truss members. Solve for all unknown forces using -AB- (4/5) BD-0 -AD+DE-(3/5) BD-0 Ey + (4/5) CE-0 -24 CD-(4/5) CE -0...