Compare the 2 quantities: Quantity A =(5+a)(3+a); Quantity B = (a^2 +2a+15).
In triangle ABC, AB=12, AC=10 and BC=5

Compare the 2 quantities: Quantity A =(5+a)(3+a); Quantity B = (a^2 +2a+15). In triangle ABC, AB=12,...
1. Consider the isosceles triangle ABC, with AB = AC, and BAC = 20. Choose points E, D on the sides AB, AC, respectively, so that ZCBD = 60', and BCE = 50'. We will find LEDB. (i) Bring the parallel DF to BC, with F on AB. Connect points and F. and let K be the intersection of BD and CF. Show that DFBC is an isosceles trapezium. Mark all its angles. (ii) What type of triangles are BKC...
Given a triangle ABC, let l_1 be the angle bisector of <A
and let l_2 be the perpendicular bisector of line BC. Assuming AB
> AC, show that l_1 intersection l_2 is not in triangle
ABC
Excuse l_2 is the perpendicular bisector of line BC hence the right
angle. The questions is to show a step by step proof that when l_1
abd l_2 intersect, it will be outside of the given triangle.
Given a triangle ABe, let Libe the...
Suppose that ABC is an equilateral triangle with all sides of length 1 unit. We extend side AB by 1 unit beyond B to get P, we extend BC by 1 unit beyond C to get Q and AC beyond A to get R. Compute the length of the sides in triangle PQR.
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...
Points W and X are chosen on the side AB of triangle ABC and points Y and Z are chosen on side AC. Suppose that cr(A,W,X,B)=cr(A,Y,Z,C) and that WY is parallel to XZ. Prove that XZ is parallel to BC. Hint: let T be the point where the parallel to XZ through B meets line AC. Note that neither a nor Y can lie on segment TC and use excercise 3C.2 to show that T is C. cr=cross ratio
2. (i) Now draw another triangle ABC, with right angle at C, but this time fill in the sides AB and BC such that sin(A) = x/(x+3). (ii) Again, use the Pythagorean Theorem to find AC. (iii) Use your sketch to find sec(A)=? (iv) And tan(B) = ?
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+
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.
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,...
2. Prove the logic equations for: a) /ABC + A/BC + AB/C + ABC AB + BC + CA b) AB + /AB + /A/B = /A + B using the truth table approach. The / indicates NOT for the variable immediately following it.