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Ratio
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3 : 1
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Find total parts
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3 + 1 = 4
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Split the 32 according to the parts
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4 parts = 32
1 part = 32 ÷ 4
1 part = 8
3 part = 8 x 3 = 24
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Split the 32 into the ratio
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24 : 8
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Answer: 24 : 8
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Answer:
∠A = 48°, ∠B = 48°, and ∠C = 84°
Step-by-step explanation:
AB = CB Given
m ∠A = m ∠C If opposite sides are =, then those opposite angles are =
6(x - 3) = 4(x + 1)
6x - 18 = 4x + 4
2x - 18 = 4
2x = 22
x = 11
m ∠A = 6(11 - 3) = 6(8) = 48°
m ∠C = 4(11+ 1) = 4(12) = 48°
The sum of the angles in a triangle = 180°
48° + 48° m ∠B = 180°
96°+ m ∠B = 180°
84° = m ∠B
Answer:
a) The coordinates of the missing vertex = (7, 8)
b) Area = 18 square units
Perimeter = 18 units
Step-by-step explanation:
a) We know three of the four vertices:
A: (4, 2) C ______ D(?)
B: (7, 2) | |
C: (4, 8) A |______| B
To find the coordinates of the missing vertex we need to calculate the distance in the x-direction from point A to point B:
Hence, the distance of point D from point C in the x-direction is:
Now, to find the coordinate in "y" we need to calculate the distance in the y-direction between point C and point A:
Then, the distance of point D from point B in the y-direction is:

Therefore, the coordinates of the missing vertex (point D) are:
b) The area of the rectangle is:

The perimeter is given by:

I hope it helps you!
Answer is in the file below
tinyurl.com/wpazsebu
Answer:
Option C: 
Step-by-step explanation:
Given the side length of a square is 11 units.
Note that 
Since, length cannot be negative, we can eliminate - 11.
Hence, the length of the side of the square is 11 units =
.
Hence, the answer.