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7obadiah
21.07.2019 •
Mathematics
If f(x) = x, which of the following describes the graph of f(x) - 3?
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Ответ:
Ответ:
part a) ratios of corresponding sides are equal
part b) cb=10
ab=11.18
step-by-step explanation:
given:
δabc= 2δxyz
sinx=5/5.59
from trigonometric ratios we know
sinx=opposite side/hypotenuse
thus zy=opposite side=5
and xz= hypotenuse= 5.59
from pythagoras theorem we get
c^2= a^2 + b^2
xz^2=yz^2 + xy^2
5.59^2= 5^2 +xy^2
xy^2=6.2418
xy=2.5
part a)
when a triangle is multiplied or scaled by k, a constant scalar number to form another triangle then these two triangle are similar. and similar triangles have proportional lengths of corresponding sides. ratios within the triangle sides will be equal to the corresponding sides ratios of the other triangle. that is
xy/yz= ac/bc
xz/yz= ab/cb
yz/xz= bc/ab
= ab/ac
part b)
from part a we know that
bc/ab=yz/xz
also yz/xz= 5/5.59
so bc/ab= 5/5.59
the scalar factor= 2
corresponding side of cb is yz, so
cb=2(yz)
= 2(5)
= 10
corresponding side of ab is xz, so
ab=2(xz)
= 2(5.59)
= 11.18!