The LCM is the lowest number that is a multiple of all three numbers.
First, list the multiples of each number
8: 8, 16, 24, 32,40 48, 56, 64, 72, 80, 88, 96, 104, 112, 120
10: 10, 20, 30 40, 50, 60, 70, 80, 90, 100, 110, 120
12: 12, 24, 36, 48, 60, 72, 84, 96, 108, 120
The LCM is 120 because there is no lower number that is a multiple of all three numbers.
Hope this helped!
<span>1 gallon = 4 quarts = 8 pints = 16 cups </span>
The next step to complete the construction will connect the in-center to one of the sides of the triangle.
<h3>What is a circle?</h3>
It is described as a set of points, where each point is at the same distance from a fixed point (called the center of a circle)
Samuel is trying to construct the inscribed circle of a triangle.
Using the angle bisectors to find the in-center.
Where two angles bisector meets, the point called in-center.
Next step will be: connect the in-center to one of the sides of the triangle.
Thus, the next step to complete the construction will be connect the in-center to one of the sides of the triangle.
Learn more about circle here:
brainly.com/question/11833983
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Answer:
The perimeter is 109.8
Step-by-step explanation:
As we can see here, the angles of the triangles are congruent so we can say that both triangles are congruent
When two triangles are congruent, the ratio of their corresponding sides are equal
So we can get the scale factor here by looking at the sides facing each specific angle in both triangles
In the bigger triangle,
The side facing 34 degrees has a length of 30
In the smaller triangle,
The side facing 34 degree has a length of 27
So the scale factor to get the smaller from the bigger is 27/30 = 9/10 or 0.9
Likewise the side facing 51 degrees in the bigger is 40 while for the smaller, it is 36
So the ratio still stands at 36/40 = 9/10 or 0.9
In essence, the smaller triangle will have a perimeter that is 0.9 times that of the bigger
The perimeter of the bigger is simply the sum of the side lengths
We have this as;
(52 + 30 + 40) = 122
so that of the smaller would be;
122 * 0.9 = 109.8
No because every x value has to have only one y value. In the relation, 2 has two y values: 1 and -3.
