Geometry Answers

1: prove the triangle ABC whose vertices: A(5,1) B(2,5) C(-1,1) is an isosceles triangle then find the perimeter.

2: If C is midpoint of line AB where A(-3,y) B(3,12) C(x,7) find the value of x and y.

3: find the equation of straight line of slope 1/2 and passing through point (2,5)

4:ABC is a right angled triangle @ B where AB=5cm. AC=13cm. find m(angle C) and prove sin A cos C + cos A sin C=1

5: the equation of 2 straight lines L1, L2 are X-4Y-3=0, Y=k X +5 find value of the 2 straight lines L1 L2 (parallel) (perpendicular)

6: 3X-4Y-3=0 and k Y +4X-8=0 are perpendicular then k=?

The perimeter of a rectangular window is 634 inches. If the length of the window is 205.What is the width?

In an arch, if you have the overall width and height what is the formula to find the radius that creates the arch?

prove that tangents drawn at the ends of a diameter of a circle are parallel

if perimeter of semi circular park is 72 m ,find its area and radius

rewrite the statement complementary angles have measures which add up to 90 degrees in if-then form. Then, write the converse, inverse, and contra-positive of the statement. Finally, state whether each is true or false.

Given that AB is a tangent of the circle with the center at X, AB = 12, and XD = 2.5, which is the length of DB?

Hi;

Let S^2 be a 2-dimensional unit sphere in R^3. Let u and v be two unit vectors in R^3 (so in S^2). We will define a binary operation on S^2 by u*v is a unit vector obtained by rotating a vector u along v by 180 degree (Pi).

Define stab(x)={y in S^2: y*x=x}. My question is find stab(x) where x is in S^2.

Lines p and q intersect to form adjacent angles 1 and 2. If angle 1=8x+4 and angle 2=9x-4 find x so that p is perpendicular to q.

AB is a chord of a circle with centre O.AB is produced to C,such that BC=OB.CO is joined and produced to meet the circle in D.If Angle ACD=XY and Angle AOD=X,prove that X=3Y