Four equilateral triangles cut from the same fabric are needed to complete the quilt square design shown.



To form the four small triangles the designer uses one equilateral triangle whose sides are

twice the length of the sides of the needed triangles. Then he makes three cuts from midpoint to midpoint as shown. Explain how these cuts will form four congruent triangles whose sides are half the length of the side of the original piece of cloth.


The four triangles are equilateral and congruent, which can be proved by SAS. Since the cuts are made at the midpoints of the sides, the new sides are one-half the original length.

Mathematics

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Write the function in the form y = f(u) and u = g(x). Then find dy/dx as a function of x.y = 8

A. y = u8; u = 5x2 -  - x;  = 87
B. y = 5u2 -  - u; u = x8 = 10x16 -  - x8
C. y = u8; u = 5x2 -  - x;  = 87
D. y = u8; u = 5x2 -  - x;  = 87

Mathematics

Find the indicated composition.f(x) = ; g(x) = 8x + 5Find (g ? f)(x).

A. (g ? f)(x) = 8x + 35
B. (g ? f)(x) = x + 10
C. (g ? f)(x) = x
D. (g ? f)(x) = x - 

Mathematics

Find the axis of symmetry of the given function.f(x) = 7x - 2x2 + 2

A. x = 
B. x = - 
C. x = 
D. x = - 

Mathematics

Use the standard normal curve table to find the z-score for the given condition.3.01% of the total area is to the right of z.

A. 1.88 B. -1.88 C. 1.89 D. -1.89

Mathematics