Ellie drew δlmn, in which m∠lmn = 90°. she then drew δpqr, which was a dilation of δlmn by a scale factor of 1/2 from the center of dilation at point m. which of these can be used to prove δlmn ~ δpqr by the aa similarity postulate?
m∠p ≅ m∠l; this can be confirmed by translating point p to point l.
m∠p ≅ m∠n; this can be confirmed by translating point p to point n.
segment lm = one half segment pq; this can be confirmed by translating point p to point l.
segment mn = one half segment qr; this can be confirmed by translating point r to point n.
resultant force will act on 65° n of w.
as given in the question one bulldozer exerts force of 1250 pounds in western direction and 2650 pounds in northern direction and we have to find angle a which is an angle between 1250 pounds of force and resultant force f.
therefore tan a= force on north direction/ force on west direction = 2650/1250 = 2.12
a = 64.75
a = 65° north of west.
if 5 cakes equal 3.50. we must divide 3.50 by 5 to see the price of just one cake. now since 3.50/5 is 0.70. we must multiply 0.70 by 7. since we have 7 cakes. now we get our simple answer of $4.90.
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