Geometry Answers

Suppose that in a certain metric geometry satisfying Axioms D − 1 to D − 3, points A, B, C, D are collinear and
AB = 4 = AC ,AD = 6 ,BC = 8 ,BD = 9, CD = 1
(a) What betweenness relations follow?(Note: no ruler postulate so use
def. of between)
(b) Show that the triangle inequality is not satisfied.

If LN=6x-5, LM=x+7, and MN=3x+20, find MN.

Three geometrical that date back to the early day of greek geometry and often referred to as the three classical problems,are solve by purely geometric mean using only a straight edge and compass. Name the three classical problems and illustrate them with drawings

Name and define the platoc solid and their characteristics

If QR=6x+1,PR=14x-13 and PQ=5x-2,find PR

If RS=23-2x,ST=9x-5,and RT=39 find RS.
RS=

If LN=6x-5,LM=x+7, and MN=3x+20 find MN
MN

Find X Round tithe nearest hundredth.
X(-9,2) and Y(5,-4)

Find the midpoint of AB if A(-3,8) and B(-7,-6)

If CE=10x+18,DE=7x-1 and BC=9x-2, find AB
X=
AB=

The perimeter of ABCDE is 130 cm. Find the length of segment AE.

A right-circular cone is inscribed in a sphere having a fixed radius of 10 in. Express the volume of the cone as a function of its radius.

The Water Arc is a fountain that shoots water across the Chicago River from a water cannon. The path of the water can be approximated by the equation h = −0.006x2 + 1.2x + 10, where x is the horizontal distance, in feet, from the cannon and h is the height, in feet, of the water above the river. On one particular day, some people were walking along the opposite side of the river from the Water Arc when a pulse of water was shot in their direction. If the distance from the Water Arc to the people was 215 ft, did they get wet from the cannon's water?

A. Yes
B. No

1. A piece of wire of length 52 m is cut into two parts. Each part is
then bent to form a square. It is found that the combined area of
the two squares is 109 m2. Find the length of the sides of the bigger square.
2. A quadrilateral contains two equal sides measuring 12 cm each and an included right angle. If the measure of the third side is 8 cm and the angle opposite the right angle is 120°, find the fourth side of the quadrilateral.
3. A vacant lot has the shape of a trapezium having sides 8m, 12m,
18m, and 20m. If the sum of the opposite angles is 230°, find the
area of the lot.