We can divide into 3 shapes
Area of 1st rectangle: 8*6 = 48 in^2
Area of 2nd rectangle: 10*4 = 40 in^2
Area of 3rd rectangle: 5*4 = 20 in^2
Total area = 48 + 40 + 20 = 108 in^2
Answer:
see explanation
Step-by-step explanation:
Since the marked angles are congruent, let them be x
(6)
The sum of the interior angles of a quadrilateral = 360°
Sum the angles and equate to 360
x + x + 120 + 90 = 360
2x + 210 = 360 ( subtract 210 from both sides )
2x = 150 ( divide both sides by 2 )
x = 75
Then ∠ X = ∠ Y = 75°
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(7)
The sum of the interior angles of a hexagon = 720°
Sum the angles and equate to 720
x + x + 108 + 103 + 149 + 90 = 720
2x + 450 = 720 ( subtract 450 from both sides )
2x = 270 ( divide both sides by 2 )
x = 135
Then ∠ X = ∠ Y = 135°
Answer: 4
Step-by-step explanation:
Answer:
31.86
Step-by-step explanation:
add them all up and then divide by how many numbers there are to get the mean
Answer:
This will be the sum of a geometric series where the first term is 4
The common ratio is -5
And we will have 6 terms.....so....the sum is
first term [ 1 - common ratio^number of terms ] / [ 1 - common ratio ] =
4 [1 - (-5)^6] / [ 1 - -5 ] =
4 [ 1 - 15625 ] / 6 =
(2/3) ( -15624 ) =
-10416
Step-by-step explanation:
