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A certain number of fifty-cent coins is to from an equilateral triangle. The same number of fifty-cent coins can also be used to from a square. The number of fiftty-cent coins on each side of the square is 6 fewer than the number of fifty-cent coins on each side of the equilateral traingle. How many fifty-cent coins are there altogether?
1,A circular cynlinder with a volume 81 pi.if the perimeter of the base is 6 pi,the height is ?2,The total surface area of 2 indentical blocks which together with the volume is 1,458 units is ?3,If one side of 6-inch ruler will be marked in inches,how many points will be in the edge including 0 and 6 inch mark?4,Two sides of the O and P pointer that started from a vertical position as shown.Pointer O turns back the clock with a speed of 5 degrees per second and pointer P rotate clockwise at9 deg...
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1,A circular cynlinder with a volume 81 pi.if the perimeter of the base is 6 pi,the height is ?
2,The total surface area of 2 indentical blocks which together with the volume is 1,458 units is ?
3,If one side of 6-inch ruler will be marked in inches,how many points will be in the edge including 0 and 6 inch mark?
4,Two sides of the O and P pointer that started from a vertical position as shown.Pointer O turns back the clock with a speed of 5 degrees per second and pointer P rotate clockwise at9 degrees per second.How many complete revolutions will be made when completing 335 P O complete revolution?
5,In a certain game of 50 questions,the final score calculated by subtracting tiwce the number of wrong answer from the total number of correct answers.if a player has tried all questions and get a final score of 35 ,the number of wrong answers,he has to be ...
with triangle ABC, d is the line passing through B, E of AC. Via E draw straight lines parallel to AB and BC cut d at M, N. D is the intersection of ME and BC. NE lines cut AB and MC at F and K. CMR AFN triangles are in the same form as the MDC triangle
1. Two bisector BD and CE of the triangle ABC intersect at O. Suppose that BD.CE 2BO.OC . Denote by H the point in BC such that .OH⊥BC . Prove that AB.AC 2HB.HC 2. Given a trapezoid ABCD with the based edges BC3cm , DA6cm ( AD//BC ). Then the length of the line EF ( Ein AB,Fin CD and EF // AD ) through the intersection point M of AC and BD is ............... ? 3. Let ABC be an equilateral triangle and a point M inside the triangle such that MA^2MB^2+MC^2 . Draw an equilateral triangle ACD whe...
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1. Two bisector BD and CE of the triangle ABC intersect at O. Suppose that BD.CE = 2BO.OC . Denote by H the point in BC such that .\(OH⊥BC\) . Prove that AB.AC = 2HB.HC
2. Given a trapezoid ABCD with the based edges BC=3cm , DA=6cm ( AD//BC ). Then the length of the line EF ( \(E\in AB,F\in CD\) and EF // AD ) through the intersection point M of AC and BD is ............... ?
3. Let ABC be an equilateral triangle and a point M inside the triangle such that \(MA^2=MB^2+MC^2\) . Draw an equilateral triangle ACD where \(D\ne B\) . Let the point N inside \(\Delta ACD\) such that AMN is an equilateral triangle. Determine \(\widehat{BMC}\) ?
4. Given an isosceles triangle ABC at A. Draw ray Cx being perpendicular to CA, BE perpendicular to Cx \(\left(E\in Cx\right)\) . Let M be the midpoint of BE, and D be the intersection point of AM and Cx. Prove that \(BD⊥BC\)
Given acute triangle ABC(AB<AC). O is the midpoint of BC, BM and CN are the altitudes of triangle ABC. The bisectors of angle \(\widehat{BAC}\)and \(\widehat{MON}\)meet each other at D. AD intesects BC at E. Prove that quadrilateral BNDE is inscribed in a circle.s
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In triangle ABC, BC=AC and BCA=900. D and E are points on AC and AB respectively such that AD=AE and 2CD =BE.Let P be the point of intersection of BD with the bisector of angle CAB. What is the angle PCB in degrees?
Point B,DB,D and JJ are midpoints of the sides of right triangle ACGACG . Points K,E,IK,E,I are midpoints of the sides of triangle JDGJDG, etc. If the dividing and shading process is done 100 times (the first three are shown) and AC=CG=6AC=CG=6, then the total area of the shaded triangles is nearest
Figure is a street map. How many ways are there to move from the top – left corner to the bottom-right corner, if one can only move rightwards/downwards
In this figure, suppose that the length of the line segment Ac is a prime number