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.
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Solve the problem.A region in the first quadrant is bounded above by the curve y = cosh x, below by the curve 
on the left by the y-axis, and on the right by the line 
Find the volume of the solid generated by revolving the region about the x-axis.
A. 5?
B. 0
C. 2?
D. 
Evaluate the integral.
dt
A. 
sin t - 
sin 7t + C
B. 
sin 
t - 
sin 
t + C
C. 
sin 
t - 
sin 
t + C
D. 
cos 
t + 
cos 
t + C
Determine whether the given equation is an identity.-4(2x + 4) = -14 - 5x - 5x
A. Yes B. No
Factor the trinomial containing two variables.x2 + 5xy - 14y2
A. (x + 7y)(x - 2y) B. (x - y)(x + 2y) C. (x - 7y)(x + 2y) D. (x - 7y)(x + y)