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m<rxq =(x+15)° m<rxs=(5x-7)° m<qxs =(3x+5)° find the x value and m<rxs


Find the approximately the difference between the areas of two spheres whose radii are 4 feet and 4.05 feet.


A rectangular picture is 6cm longer than it is wide. A frame 1cm wide is placed around the picture. The area covered by the pictures and frame together is 48cm ² greater than the area of the picture alone. Find the dimensions of the picture. Include a labelled diagram as part of your answer.


The national park is in a circular shape. The middle portion has playthings for kids surrounded by a circular walking pathway, then calculate the walking area whose outer radius is 18m

 and the inner radius is 7m.



A right circular cone is inscribed in a cube having an edge which measures 20 cm. Find the lateral area and volume of the cone


A soup can has a diameter of 8cm and a height of 10cm.

a. calculate the area of metal needed to construct the can.

b. calculate the area of the label of the can.


pq=3x+14. qr=5x−44 Find x


Determine the measure of each angle of a regular pentagon, regular nonagon.


How many sides has a regular polygon if the measure of one of its angles is 128 4/7º? 144º? 160º?


Find the side of the regular octagon inscribed in a circle of radius 50 mm. Solve in two ways. Also, find the value of each interior and exterior angles of the regular polygon.