Answer:
The length of the unknown side x is 4 cm
Step-by-step explanation:
we know that
The perimeter of a polygon is equal to the sum of its length sides
Remember that
1 cm=10 mm
In this problem we have
AB=45 mm ------> convert to cm -----> AB=45/10=4.5 cm
BC=10 cm 4 mm -----> convert to cm -----> BC=10+4/10=10.4 cm
CD=5 cm 6 mm -----> convert to cm -----> CD=5+6/10=5.6 cm
DE=35 mm ------> convert to cm -----> DE=35/10=3.5 cm
EA=x cm
P=280 mm ------> convert to cm -----> P=280/10=28 cm
The perimeter of the irregular polygon is equal to
P=AB+BC+CD+DE+EA
substitute the values
28=4.5+10.4+5.6+3.5+x
28=24+x
x=28-24
x=4 cm
Answer:
1) His total commission is $1,234.3
2) The purchase of the car is $24,790.
Step-by-step explanation:
1) 21640*0.02= 432.8+ 250= 682.8
15075*0.02= 301.5+ 250= 551.5
682.8+ 551.5= 1,234.3
2) 745.8- 250= 495.8/ 0.02= 24,790
Answer:
Step-by-step explanation:
Combine like terms. Like terms have same variable with same power
a) (2xy + 4x) + (15xy - 5x) = <u>2xy + 15xy</u> +<u> 4x - 5x</u>
= 17xy - x
b) (6a + 4b² - 3) + (3b² - 5) = 6a + <u>4b² + 3b²</u> <u>- 3 - 5 </u>
= 6a + 7b² - 8
c) (4x³ - 3x² +4x) + (8x² - 5x ) = 4x³ <u>- 3x² + 8x²</u> <u>+ 4x - 5x</u>
= 4x³ + 5x² - x
d) (7b - 6a + 9y) - (12b + 5a - 2y) =
In subtraction, add the additive inverse of (12b + 5a - 2y)
additive inverse = - 12b - 5a + 2y
(7b - 6a + 9y) - (12b + 5a - 2y) = 7b - 6a + 9y -12b -5a + 2y
= 7b - 12b -6a - 5a + 9y + 2y
= -5b - 11a + 11y
e) (2x² + 7x - 2 + 9y) - (13x + 4x² + 5 - 6y)
Additive inverse of 13x + 4x² + 5 - 6y = -13x + 4x² - 5 + 6y
(2x² + 7x - 2 + 9y) - (13x + 4x² + 5 - 6y)= 2x² + 7x - 2 + 9y -13x - 4x² -5 +6y
= 2x² - 4x² + 7x -13x -2 - 5 + 9y + 6y
= -2x² - 6x - 7 + 15y
