The measures of the angles ABCD are the same as the measures of the angles that is corresponding based on the reflected images.
<h3>How to show that the angles are equal</h3>
Based on the fact that this is a reflection, the angles would be equal measures.
What this means is that there is a preservation of the of the reflected image. This is the same logic for the length of the sides.
The reflection is known to be a rigid type of transformation that is known to have its angles and sides preserved.
Read more on reflection in mathematics here:
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Answer:
the probability of getting exactly 2 fours is 0.16
Step-by-step explanation:
The probability of obtaining a number that is four = ¹/₆
The probability of obtaining a non 4 number = 1 - ¹/₆ = ⁵/₆
The number of ways 2 fours can be arrange in five numbers = ⁵C₂ = 10 ways
If the die is tossed five times, the probability of the events is calculated as;
P = 10 x (¹/₆)² x (⁵/₆)³
P = 10 x (¹/₃₆) x (¹²⁵/₂₁₆)
P = 10 x 0.02778 x 0.5787
P = 0.16
Therefore, the probability of getting exactly 2 fours is 0.16
For a function, domain means the x value & range is the y value. So, simply, substitute each value in the domain for the x in your function, and you'll find the range.
Here're the answers:
g(0)=(0)^2+2
g(0)=2
g(2)=(2)^2+2
g(2)=6
g(5)=(5)^2+2
g(5)=27
g(9)=(9)^2+2
g(9)=83
Hope this helps!
The volume is 414,720 in³, which equals 240 ft³.
We need all of the units to be the same. Since 2 of the 3 measurements are in inches, we will convert the feet to inches. 12 inches = 1 foot, so
22.5(12) = 270
To find the volume of a rectangular prism (box), multiply the length, width, and height:
270(48)(32) = 414,720 in³
If we want this in cubic feet, we need to know first that 1 ft³ is a cube with side length 1 ft = 12 inches. This means that the volume is 12*12*12 = 1728 in³. Therefore there are 1728 in³ in 1 ft³:
414720/1728 = 240 ft³
For what shape? It depends on the shape
