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A, B, C, D, and E are points on a circle. BFD and AFC are straight lines. DC = DF. Angle mass BAF = 24⁰. Angle mass AFE = x. EFD angle measure = 2x. Find the measure of the angle x.


The sum of the angles in each quadrilateral is 360 °. For example, in a rectangle 4 x 90 ° = 360 ° Gent writes: 5 x 90⁰ = 450⁰, so the sum of the angles in each pentagon must be 450 °.

Is he right? If not, give the correct answer.


The figure shows two right-angled triangles. The first triangle has one floor 6 cm and another 10cm, and has a narrow angle = x. The second triangle has sides with length: y cm and 15 cm as well as a narrow angle = x. The value of y is:

A. 11

B. 9

C. 7.5

D. 4


The trapezoid ABCE consists of the parallelogram ABCD and the right-angled triangle ADE. Find the measure of the angle AED. The angle of the parallelogram ABC is 110⁰


A full rotation is measured as 360°. A dial moves through a third of a rotation. How many degrees does it need to move backwards to reach a fifth of a rotation?


The net of a pyramid is seen as a square inside with four triangles attached to the square. Each triangular side has an area which is exactly half of the area of the square base. What fraction of the total area of the net is taken up by the base?


A rectangular doorway in a hotel is 1.5m wide and 2.5m high. Two waiters will bring a circular table top with 2.7m in diameter. Do you think the waiters will be able to bring the table top?


Mr John wants to load is is house hold on a cargo truck with the help of ramp if the trucks height it is 15m from the ground and the distance from the truck to foot of ramp is 8m find the length of ramp used to load the household in the truck.


Given a soda can with a volume of 36 and a diameter of 4, what is the volume of a cone that fits perfectly inside the soda can? (Hint: only enter numerals in the answer blank).


mention explain mathematically and illustrate/show/draw/copy-and-paste a cultural artefact where translation is used to develop the pattern or artistic effect


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