First find the area of the parallelogram
Area of parallelogram = b x h
= 12 x 7
= 84
Then find area of kite
Area of kite = (xy)/2
= (7 x 12)/2
= 84/2
= 42
Now we are gonna subtract the area of the kite from the area of the parallelogram.
84 - 42 = 42
Therefore the area of the shaded region is 42.
Answer:
( -4 , -4 )
Step-by-step explanation:
Answer:
122
Step-by-step explanation:
x = 180-(180-50-72) = 180-(130 - 72) = 180 - 130 + 72 = 50 + 72 = 122
9514 1404 393
Answer:
Step-by-step explanation:
When x represents the number, "the sum of 3 and a number" is (x+3). Twice that sum is 2(x+3). "Is 30" means this expression is equal to 30:
2(x +3) = 30 . . . . an equation for the given conditions
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We can solve this equation by dividing by 2:
x + 3 = 15
x = 12 . . . . . . subtract 3
The number is 12.
Answer:
FG = 16
Step-by-step explanation:
we can state that ΔEFG ≅ ΔEHG due to the Angle-Angle-Side postulate
this means that FG = GH
we can use this equation to solve for 'x':
x + 11 = 3x + 1
11 = 2x + 1
10 = 2x
5 = x
FG = x + 11 or 5 + 11, which is 16
