Geometry Answers

Line PQ and line RS intersect at point T. <PTR is congruent to <RTQ. Prove line PQ is perpendicular to line RS.
Write a paragraph proof.

the diameter of circle is 42m , a wide path is built around it 3.5m ......find the total area of circle???

If two non parallel lines are perpendicular to two other straight lines ,each to each.Show that the acute angle between first pair of line is equal to acute angle of second pair of line.

The singular set of a surface-knot diagram is a disjoint union of i) a graph, which has 1- and 6-valent vertices corresponding to branch points and triple points respectively. ii) circles which has no vertices. The graph and circles in a singular set may be linked in R^3. An edge of a singular set will be an edge of this graph or a circle. Around a triple point, there are six edges, such an edge is called b\m-, b\t- or m\t-edge if it is the intersection of bottom and middle, bottom and top or middle and top sheets at the triple point respectively.

My question is: what are the possible connections of edges for any surface diagram, i,e if we have two triple points, how to connect them?

Thank you in advance

using cone illustrate how different types of conic sections are generated

using coordinate geometry prove that angle in a semicircle is a right angle

BD BIsects ABC
IF AB=6. BC= 14. AC=14
Find BD

WE KNOW THE ANSWER IS 4.2.
Please show me how to get there

Thank you

BD BIsects <ABC and D lies on AC
IF AB=6. BC= 14. AC=14
Find AD

WE KNOW THE ANSWER IS 4.2.
Please show me how to get there

Thank you

Using cone illustrate how different types of conic sections are generated

IN THE FIGURE BELOW p parallel q parallel r.what is the value of x