Answer:
d
Step-by-step explanation:
the slopes (2/3x and -5/4x) are not equal but the y-intercepts (3) are and d is the only one that states that
Givens
AB + BC = AC
AB = 2(x + 1)
BC = 3x + 1
AC = 4(x + 2)
Substitute and Solve
AB + BC = AC
2(x + 1) + 3x + 1 = 4(x + 2) Remove the brackets on the left
2x + 2 + 3x + 1 = 4(x + 2) Collect the like terms on the left
5x + 3 = 4(x + 2) Remove the brackets on the right.
5x + 3 = 4x + 8 Subtract 4x from both sides.
5x - 4x + 3 = 8
x + 3 = 8 Subtract 3 from both sides
x =8 - 3
x = 5
Answers
AB=2(5 + 1) = 2 * 6 = 12
BC = 3x + 1 = 3*5 + 1 = 15 + 1 = 16
AC = 4(5 + 2) = 4*7 = 28
Answer:
53.3%
Step-by-step explanation:
80/150=160/300
160/300=53.33/100
The decrease in calories is 53.3%
72-24=48
x% of 72=48
(/72)x/100 *72=48 (/72)
(*100 ) x/100=2/3 (*100)
x= 66.67%
100% -66.67%=33.33% discount
Answer:
Volume = (2890 and 5/8) inches^3
Step-by-step explanation:
Height = 12 and 1/2inches = 25/2
Width = 12 and 1/2inches = 25/2
Length = 6 inches > width = 6 + width
= 6 + (12 and 1/2) = 18 and 1/2
Length = 18 and 1/2 inches = 37/2
Volume of prism = length × breadth × height
Volume of rectangular prism = (25/2)×(25/2)×(37/2)
Volume of rectangular prism = (23125/8) inches^3
Volume of rectangular prism = (2890 and 5/8) inches^3
