Let traingle ABC have midpoint B' on AC, C' midpoint of AB and G be centroid.
If AC=5, AB=5, and CC'=6 find BC.
Let traingle ABC have midpoint B' on AC, C' midpoint of AB and G be centroid....
28 Consider (O:OAOB) an orthonormal system in space. Let G be the center of gravity of triangle ABC. 1° Calculate the coordinates of G 2°Consider the points A' (2 ;0:0) ,B, (0:2:0) and C" (0:0,3). a) Verify that these three points define a plane. b) Write a system of parametric equations of the plane (A'BC'). 3 Write a system of parametric equations of line (AC). 4° Verify that K (4:0-3) is the trace of the line (AC) with the plane...
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...
QUESTION 1 Let P be a point inside A ABC. Suppose D is the midpoint of AB, E is the midpoint of BC, and F is the midpoint of CA. If PĎ is perpendicular to AB and PE is perpendicular to BC, then PF is perpendicular to CÃ as well. Additionally, make a sketch of a picture labeling all points to illustrate the described setting. In your explanation you can use All Axioms of Incidence, Order, and Congruence and Theorems...
Let ∆ABC be a triangle with circumcenter O, centroid G, and orthocenter H. Let ϕ be a similarity. Show that the triangle ϕ(∆ABC) = ∆ϕ(A)ϕ(B)ϕ(C) has... (a) circumcenter ϕ(O). (b) centroid ϕ(G). (c) orthocenter ϕ(H)
Let R(A,B,C,D) be a relation with FDs F = {A—B, AC, C-A, B,C, ABC-D} Which of the following statements is correct ? (2 points) Select one: G = {A-B, B-C, C-A, AC=D } is a canonical cover of F H = { AC, CA, BC,BD} is a canonical cover of F. o F is a canonical cover of itself. O G and H are canonical covers of F. None of the above.
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...
2. Consider a triangle ABC. Let M denote the midpoint of side AC. If BM - AM, show that angle B is a right angle. (10 points)
Additional Problem: Suppose that AABC has sides AB 31,AC 35, and M is the midpoint of BC. The goal is to obtain the inequality 2 < x <33, where x AM. Construct the auxiliary lines shown, with M the midpoint of AE a. Find y-CE. Then show that 2x-AE 66. b. Show that AM (66)-33 C. Show that 2 < x < 33. (Hint: Use the Triangle Inequality in AEC. 31 35
R= ABCDEG decomposition: {AB, BC, ABDE, EG } F = {AB → C, AC → B, AD → E, B → D, BC → A, E → G} Is this lossless or not? Please Draw a table for this, the answer set online told me this is lossy, but when I do the table test, I find it is lossless.
Question 17 5 pts a+bc 20 DCO ab+c 110 abc 300 a+b+c 65 abc+ 60 a+b+c+ 320 a+bc+ 110 ab+c+ 15 DCO Total 1000 What are Non Cross-over (NCO) genotypes? (Hint: Look for the parental genotypes) abc, a+b+c+ a+b+c, abc+ a+bc, ab+c+ ab+c, a+bc+