Answer:
- parallelogram
- x = 5
- 60 units
Step-by-step explanation:
A. Opposite sides are the same length, so the figure is a parallelogram.
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B. Diagonals of a parallelogram cross at their midpoints, so ...
9x +3 = 10x -2
5 = x . . . . . . . . add 2-9x to both sides
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C. The longer side is 12x = 12(5) = 60 . . . . units
See the attached picture for solution:
Answer:
1,2,3
Step-by-step explanation:
change yrds to ft
5yds = 5*3 = 15 ft
5yds 2 ft = 15ft + 2ft = 17 ft
6yds = 6 * 3 = 18 ft
6 yds 1 ft = 18 + 1
19 ft
A = l * w
A = 17* 19
A = 323 ft^2
Choice A
Answer:
Step-by-step explanation:
Question (1)
x² + 10x + 12
= x² + 2(5x) + 5² - 5² + 12
= [x² + 2(5x) + 5²] - 5² + 12
= (x + 5)² - 25 + 12 [Since, a² + 2ab + b² = (a + b)²]
= (x + 5)² - 13
Question (2)
y² - 6y - 15
= y² - 2(3y) - 15
= y² - 2(3y) + 3² - 3² - 15
= [y² - 2(3y) + 3²] - 3² - 15 [Since, a² - 2ab + b² = (a - b)²]
= (y - 3)² - 3²- 15
= (y - 3)² - 9 - 15
= (y - 3)² - 24
