Step-by-step explanation:
here's the solution: -
if the given triangles are similar, then their corresponding sides will be in proportion, so
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
( by cross multiplication )
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
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
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
=》

=》

36x34= 1224cm²
(36-4)x(34-4)= 32x30= 960cm²
Area of frame= 1224
Area of picture inside frame= 960
So border = 1224-960= 264
ANSWER = 264cm²
What ever you do to one number you have to do to the other
I think for the question above, instead of 2 · 3^2 · 7 it is <span>2 · 3^2 · 5.
</span>
Two numbers have prime factorizations of 2^2 • 3 • 5 and 2 • 3^2 • 5 (note 2 squared & 3 squared).
Now, to choose the GCF, you choose, for each base factor in either number, the least exponent-ed one; so the GCF needs a factor 2, a factor 3, and a factor 5. Thus the GCF is 30 (their product). [i.e,2 squared is not a common factor]
<span>To create the LCM, you choose, for each base factor in either number, the greatest exponented one. Thus, LCM needs a factor 2 squared, 3 squared, and 5, giving LCM = 4(9)(5) = 180.</span><span />
Answer:
D
Step-by-step explanation:
(1/3)^x=27^(x+2)
3^(-x)=3^(3(x+2))
3^(-x)=3^(3x+6)