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how do we find the midpoint of a segment on a number line?
A pyramid of height 15 ft is to be divided into three solids by passing

planes parallel to the base. Find the height of each solid if their volumes

are equal.
A cylindrical container of height equal to twice the diameter of its base can

hold 12 liters (1L= 1,000 cm3) of water. Another cylindrical container with

the same capacity has its height equal to three times the diameter of its

base.


1.What is the diameter of the second container?

You have given an equal sided triangle with side length a. A straight line connects the center of the bottom side to the border of the triangle with an angle of x. Derive an expression for the enclosed area A(x) with respect to the angle


A single lane street 12ft wide goes through a semicircular tunnel with radius 10ft. How high is the tunnel at the edge of each lane?


A diameter ofthe circle is ....... radius



paperweight in the shape of the pyramid has a regular hexagonal base with a perimeter that measures 16.8cm. The pyramid has a height of 4.7 cm and the distance from the center of the base to the midpoint of each side 2.,9 cm. What is the surface area of the paperweight?
. Prove the corollary of the tangent theorem: If A and B are points on
circle O and line segments PA and PB are tangent to the circle, show that line segment PA is congruent to line segment PB
and line segment PO bisects angle APB

Prove that the line joining the midpoints of the base and summit of a Saccheri Quadrilateral is the perpendicular bisector of both the base and the summit


You have given an equal-sided triangle with side length a. A straight line connects the center of the bottom side to the border of the triangle with an angle of α. Derive an expression for the enclosed area A(α) with respect to the angle
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