The width of the rug is 9 feet.
Step-by-step explanation:
Perimeter of rug = 42 feet
Lengths are same in square and rectangle shapes; therefore;
Length of rug = 12 feet
Width of rug = w
Perimeter = Length + Length + Width + Width
Perimeter = 

Dividing both sides by 2

The width of the rug is 9 feet.
Keywords: perimeter, division
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Answer:
C. f(x)= |3x -8|
Step-by-step explanation:
*view attached graph*
15 pigs and 40 sheep
10 cows is equivalent to 2 parts of the ratio, hence
= 5 ← 1 part of the ratio, hence
8 parts = 8 × 5 = 40 ← number of sheep
3 parts = 3 × 5 = 15 ← number of pigs
Answer:
1. LM < PN
2. AD < DC
3. m<CAB < m<CBA
4. m<1 = m<2
Step-by-step explanation:
Recall: an angle measure is relative to the length of the opposite side. That is, the longer the side opposite to an angle, the larger the measure of that angle and vice versa.
1. LM is opposite to <LNM,
PN is opposite to <NLP
m<LNM is less than m<NLP, therefore,
LM < PN
2. AD is opposite to <ABD
DC is opposite to <DBC
m<ABD is less than m<DBC, therefore,
AD < DC
3. m<CAB is opposite to CB
m<CBA is opposite to CA
CB is less than CA, therefore,
m<CAB < m<CBA
4. The side opposite to <1 is congruent to the side opposite to <2.
Therefore,
m<1 = m<2