Answer:
D) 54 cm
Step-by-step explanation:
We can use the Centroid Theorem to solve this problem, which states that the centroid of a triangle is of the distance from each of the triangle's vertices to the midpoint of the opposite side.
Therefore, is of the distance from to , since the latter is the midpoint of the side opposite to . We know this because belongs to , so must be 's midpoint due to the fact that by definition, the centroid of a triangle is the intersection of a triangle's three medians (segments which connect a vertex of a triangle to the midpoint of the side opposite to it).
We can then write the following equation:
Substituting into the equation gives us:
Solving for , we get:
(Multiply both sides of the equation by to get rid of 's coefficient)
(Simplify)
(Symmetric Property of Equality)
Therefore, the answer is D. Hope this helps!
Let the first be x and the second be x + 4
x+ x + 4 = 56
2x+4 = 56
2x = 52
∴x= 26
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Answer:
JL = 54
Step-by-step explanation:
JL = JK + KL
JK = KL
8x+11 =14x-1
12 = 6x
x = 2
substitute for x:
8(2)+11 + 14(2)-1 = JL
JL = 16+11+28-1
JL = 54
Answer:
There could be many answers to this problem, one being the √(24 x 5 - 8)
Step-by-step explanation:
Irrational numbers are classified as real numbers that are non-terminating and non-repeating decimals. This means that the number will be a decimal that never ends and does not contain a pattern of any kind. For example, a decimal that never ends is usually written as: 5.6789234... This type of number is irrational because the decimal keeps going and shows no pattern of repetition. In the answer given, the value of (24 x 5 -8) is 112. The square root of 112 is not a perfect square and thus you will get a non-terminating and non-repeated decimal as the final answer, thus making it irrational.