If these 2 triangles are similar to each other, the corresponding sides have to exist in proportion to one another. The angles would be exactly the same (side length doesn't matter at all!). Going from the bigger triangle to the smaller, KL corresponds to RS; LJ corresponds to SQ; JK corresponds to QR. The ratio of KL:RS is 5:1; the ratio of LJ:SQ is 5:1; the ratiio of JK:QR is 5:1. That means that the sides are all proportionate and the triangles are similar by the SSS postulate. Now that we know that the triangles are similar, we can say that all the corresponding angles are the same by CPCTC but we had to determinte side similiarity first. Your answer is the second choice, SSS

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3 years ago

The following function defines a recessive sequence:

irga5000 [103]

$f(0)=-4\\f(1)=12\\\\f(n)=-3f(n-1)-2f(n-2)\\\\f(2)=-3f(2-1)-2f(2-2)=-3f(1)-2f(0)=-3\cdot12-2\cdot(-4)\\=-36+8=-28\\\\f(3)=-3f(3-1)-2f(3-2)=-3f(2)-2f(1)=-3\cdot(-28)-2\cdot12\\=84-24=60\\\\Answer:A)\ -4;\ 12;-28;\ 60;...$