Answer
shaun drew δlmn, in which m∠lmn = 90°. he then drew δpqr, which was a dilation of δlmn by a scale factor of 3 from the center of dilation at point m. which of these can be used to prove δlmn ~ δpqr by the aa similarity postulate?

a.) segment lm = 3sengmentpq; this can be confirmed translating point p to point l.

b.) segment mn = 3segment qr; this can be confirmed translating point r to point n

c.) m∠p ≅ m∠n; this can be confirmed by translating point p to point n.

d.) m∠r ≅ m∠n; this can be confirmed by translating point r to point n.

the one that has a slope of 1/2 and is positive.

step-by-step explanation: 2 buckets 1 trip ; 4 buckets 2 trips and so on.

, and

for

step-by-step explanation:

we can analyze the pattern at which the terms increase. let us denote , , , so that we can call

note the following:

the pattern: to get the next term value, we just add the next term number (e.g. 1st, 2nd, to the previous term value (term values are the given numbers in the question, 1, 3, 6, 10, 15,

from , to get to , we add

from , to get to , we add

etc.

we need to form a recursive formula, a formula that has the next term as a function of the previous term. so a possible recursive formula can be

, and for

answer: bearing in mind that a rectangle has a perimeter of length + length + width + width.

step-by-step explanation:

p = perimeter

l = length

x=width

p = 2l + 2x

p = 2(l+x)     < ==== perimeter of the base of the box.