Aclothing manufacturer is curious if celebrity endorsements will influence a customer's decision
in buying its products. this clothing manufacturer premieres its latest series of commercials
privately to two separate groups of potential shoppers. one group will see a series of
commercials without celebrities, and one group will see a series of commercials with celebrities.
furthermore, the manufacturer decides to split up the male shoppers from the female shoppers.
grouping the shoppers together by gender is an example of what?
a) reduction of confounding factors
b) matching
c) factoring
d) blocking
e) stratifying

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.

1. perpendicular

2. parallel

3. perpendicular

< xcy ≅ < xby

step-by-step explanation:

in δcax and δbax,

so, δcax ≅ δbax (side-angle-side or sas)

since δcax ≅ δbax, we can conclude < acx ≅ < abx

in δacy and δaby,

so, δacy ≅ δaby (side-angle-side or sas)

since δacy ≅ δaby, we can conclude < acy ≅ < aby

now,

< acy ≅ < aby

=> < acx + < xcy ≅ < abx + < xby

=> < acx + < xcy ≅ < acx + < xby   (since < acx ≅ < abx already proved above)

subtracting < acx from both sides, we get

< acx + < xcy -< acx ≅ < acx + < xby -< acx

cancelling out < acx and -< acx from both sides, we get

< xcy ≅ < xby (proved)

p

step-by-step explanation: