39 foot into 3 pieces
one is 13 feet
the other pieces add up to the
remaining wire
which is 39-13=26 so
the two remaining pieces are x and y
one must be 2 less than 3 times the
other
x must be 2 less than 3 times the y
x=-2+3y
x=3y-2
x+y=remaining=26
26=x+y
x=3y-2
subsitute
26=3y-3+y
add like terms
26=4y-2
add 2 to both sides
28=4y
divide by 4
7=y
subsitute
7+x=26
subtract 7
x=19
19>7
7 feet is the legnth of the shorter
piece
Answer:
Step-by-step explanation:
To prove the triangle angle sum theorem,
We will do a construction by drawing a line PQ passing through point F and parallel to line DE.
Statements Reasons
1). ∠PFD + ∠QFD = 180° 1). linear pair postulate
2). ∠QFD = ∠QFE + ∠EFD 2). Angle addition postulate
3). ∠PFD + ∠QFE + ∠EFD = 180° 3). Substitution property
4). ∠PFD ≅ ∠FDE 4). Alternate interior angles
∠QFE ≅ ∠DEF
5). ∠FDE + ∠DEF + ∠EFD = 180° 5). Substitution property
Hence sum of interior angles of ΔDEF is 180°.
Answer:
B)
Step-by-step explanation:
If it's an easy quiz, there would be a lot of students with high grades, therefore, the data set would be skewed left, the mode would be in the right side of the graph, then we would have the median and the mean would be the lower value. There would be just a few students with lower grades and this grades would pull the mean away from the median toward the left.
Answer:

Step-by-step explanation:

hope my answer is correct..