can you please please help me with these proofs R Cand CoDNder the triangle AABC and...
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,...
3 nat you ho has cheated on this exam. 1. Let AABN and AA'B'Y by asymptotic triangles. Prove that if LABN 2 ZA'B'Y and AB> ΑΒ , then /BAΩ< ΒA. 2. Let AABC be an ordinary triangle and let D be any point of the interior. Prove that the sum of the angles of AABD is greater than the sum of the angles of AABC. 3. Suppose that two lines & and m have a common perpendicular MN. Let A...
hint for d): consider a point D such that M is the midpoint of CD. Which segments are congruent here? Do you see a triangle with all three side lengts given. Could you please write some instructions on the side so I know how to follow your solution? 5. Given a triangle ABC, let M be the midpoint of the segment AB. The segment CM is called the median of the triangle. Let T be the point on the line...
I need help doing a doing two column for these two propositions. Book 1 Proposition 7: Given two straight lines constructed from the ends of a straight line and meeting in a point, there cannot be constructed from the ends of the same straight line, and on the same side of it, two other straight lines meeting in another point and equal to the former two respectively, namely each equal to that from the same end. Book 3 Proposition 14:...
For the problem do the following: Explain how to create the construction using a compass and straightedge only, draw the construction and prove it. Here is the question: 1.) describe how to construct a triangle ABC given the length a and the side length of the altitudes h B and h C at the vertices B and C respectively. ***Follow this example as a guide. Note that this picture is not for the question above and is simply an example!...
can you please help question 8 Question 8 ?BCD is an isosceles triangle, with BC-BD. Which of the following is/are true? A. Area of ABCD-AC AB B. Area of ABCD2(Area of A BDA) C. The sum of the angles in ?BCD is 180. 1. Only A 2. Only B 3. Only C 4. Only A and B 5. A, B and C Note
Correction: first problem is #2, not #1. Please show all steps in the proofs. Definitions for problems #2 through #5: Let C be the set of all Cauchy sequences of rational numbers, with the operations of addition and multiplication defined on C by (an) + (bn) = (an + bn) and (an)(bn) = (anbn). Let N be the subset of C consisting of all null sequences in c. Properties of a ring: A1. (a + b) +c= a + b...
Can someone help me and tell me which ones are wrong and if they are wrong can you tell me which is the correct answer please!!! i will forever be grateful <3 How does AC in OE relate to DF in OF? A D F NE В Н C AC is congruent to DF AC is two times longer than DF AC is three times shorter than DF AC is four times longer than DF Given that IG LFT, which...
PLEASE HELP ME ON BOTH QUESTIONS! I need ALL calculations and explenations! please! AP and BQ are heights in the triangle ABC. The angle of the triangle at the corner C is 100 degrees. The point M is a midpoint on the side AB. Decide PMQ An 8x8 grid is covered by 32 dominoplates (each tile on a dominoplate is the same size as a tile in the grid). Show that the number of dominoplates that lies horisontal is of...
Please can someone help me with this exercise? Thank you. e bounded on a nondegenerate interval [a, b]. Prove that f is e 0 there is a partition Pe of 5.1.10. Let f b integrable on [a, b] if and only if given la, b] such that P Po implies IU (f, P)-L(f, P)I < ε.