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A) The sum of three consecutive integers is 42. Find the integers. b) Find the range of these integers.
Mathematics
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2 partsStep-by-step solution
5 stepsPart a· 3 steps
Let the three consecutive integers be , , and .
Their sum is 42.
Combine like terms and solve for .
Find the three integers.
The first integer is .
The second integer is .
The third integer is .
The three numbers are .
Part b2
Identify the largest and smallest numbers.
Smallest number = 13
Largest number = 15Calculate the range.
Range = Largest number - Smallest number
Range =
Range =- a) To construct a regular hexagon in a circle of radius 4cm:
- Draw a circle with a radius of 4cm using a compass. Mark the center point.
- Mark any point on the circumference of the circle. This will be the first vertex of the hexagon.
- Place the compass point on this first vertex and, keeping the compass opening at 4cm (the radius of the circle), draw an arc that intersects the circle at a second point.
- Move the compass point to this second intersection point and repeat the process, drawing another arc to find a third point on the circumference.
- Continue this process around the circle until you have marked six points on the circumference. The sixth point should coincide with the first point you marked.
- Using a ruler, connect these six points consecutively with straight lines. These lines form the sides of the regular hexagon.
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