Answer:
109,000
Step-by-step explanation:
1kg = 1000g
45 + 63 = 109
109 x 1000 = 109000
Benjamin is correct about the diameter being perpendicular to each other and the points connected around the circle.
<h3>
Inscribing a square</h3>
The steps involved in inscribing a square in a circle include;
- A diameter of the circle is drawn.
- A perpendicular bisector of the diameter is drawn using the method described as the perpendicular of the line sector. Also known as the diameter of the circle.
- The resulting four points on the circle are the vertices of the inscribed square.
Alicia deductions were;
Draws two diameters and connects the points where the diameters intersect the circle, in order, around the circle
Benjamin's deductions;
The diameters must be perpendicular to each other. Then connect the points, in order, around the circle
Caleb's deduction;
No need to draw the second diameter. A triangle when inscribed in a semicircle is a right triangle, forms semicircles, one in each semicircle. Together the two triangles will make a square.
It can be concluded from their different postulations that Benjamin is correct because the diameter must be perpendicular to each other and the points connected around the circle to form a square.
Thus, Benjamin is correct about the diameter being perpendicular to each other and the points connected around the circle.
Learn more about an inscribed square here:
brainly.com/question/2458205
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Using the given information, the midpoint of CD is (2.5, 4.5)
<h3>Midpoint of a line </h3>
From the question, we are to determine the midpoint of line CD
The midpoint of a line is given by the formula,
[(x₁ + x₂)/2 , (y₁ + y₂)/2]
From the given information, we are to find the midpoint of line CD with coordinates C(4,5) and D(1,4)
∴ x₁ = 4
x₂ = 1
y₁ = 5
y₂ = 4
Putting the parameters into the formula for midpoint, we get
[(x₁ + x₂)/2 , (y₁ + y₂)/2]
[(4 + 1)/2 , (5 + 4)/2]
(5/2 , 9/2)
(2.5, 4.5)
Hence, the midpoint of CD is (2.5, 4.5)
Learn more on Midpoint of a line here: brainly.com/question/896396
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Answer:
13 , 24 , 14
Step-by-step explanation:
Note that technically there are two patterns. Each one adds 1.
The first pattern starts with 11. The third number is 12, which means that the fifth number will be 13, and the 7th number will be 14.
The second pattern starts with 22. The 4th number is 23, which means the sixth number will be 24.
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Then that would be 3 and 9.
