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Answer:
Step-by-step explanation:
n=8 f(x) = x² - 4x
convert [0,2] into 8 subintervals
width of each interval is
All subintervals are:
[0, 0.25], [0.25, 0.5], [0.5, 0.75], [0.75, 1], [1, 1.25], [1.25, 1.5], [1.5, 1.75] and [1.75, 2]
Let, be the right end point of each interval i=1,..8
Reiman sum is
1. The Side Angle Side (SAS) similarity theorem states that:
If two sides of a triangle are proportional to 2 sides of another triangle, and the angles around each of these 2 pairs f sides are equal (congruent), then the triangles are similar.
2. That is, we notice the equivalent ratios:
so
then if m(I)=m(F)=60°, the triangles EFG and HIJ are similar, by SAS similarity theorem.
If two sides of a triangle are proportional to 2 sides of another triangle, and the angles around each of these 2 pairs f sides are equal (congruent), then the triangles are similar.
2. That is, we notice the equivalent ratios:
so
then if m(I)=m(F)=60°, the triangles EFG and HIJ are similar, by SAS similarity theorem.