Geometry Answers

How to prove this theorem? If a line is perpendicular to a plane, then it is perpendicular to all lines that passes through the foot.

Given that 4y^2+9x^2+16y+18x=k is an ellipse equation. Find the value of k.
I want the steps. I want to know how to solve it. Thank you.

What is the common point between lines y = ½ x + 4 and y = x – 4?

Angle NOQ~= Angle PQO NO=5x+12 PQ=7x-8 find the length of NO for which NOPQ is a parallelogram

Boonie wants to paint a circle on a wall in her bedroom. The height of the wall is 8 feet, from floor to ceiling. She wants the circle to be 1 foot away away from the floor and 1 foot away from the ceiling. What is the radius of the circle she will paint? What is the area of the circle? What is the circumference of the circle ?

I need to make a circle by only knowing the circumference has to be only of inches, for example I need a circle that has a circumference of exactly 200 inches, how might I figure this out?

ABCD is aparallelogram and e is the midpoint of BC.DE and AB are produced to meet at F.Show that AF=2AB.

given parallelogram ABCD, choose any point in the interior of the parallelogram. and call it X. connect point A,B,C,D to X. show the sum of areas of diagonal. nonadjacent triangles are equal. (area of triangle ABX +area triangle CDX= area triangle ADX+area triangle BCX).

if Anne found that the equation of the stairs leading to the attic was y = 1/2 x +5. state the slope y-intercept of the equation, andclassify slope as positive, negative, zero, or undefined

Anne notice that the space below the stairs created a right triangle. She measured the base as 12ft and she knew that the area of space below the stairs was 30ft2. Explain in paragraph form how to find the diagonal created by the stairs.