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uysha [10]
3 years ago
12

Please help! Question above (+10 points)

Mathematics
1 answer:
cricket20 [7]3 years ago
3 0

There are three answers and they are: choice 2, choice 3, choice 5

======================================================

Further Explanation:

Choice 1 is false because the intersection of the altitudes of a triangle leads to the orthocenter.

----

Choice 2 is true because the three medians of any triangle always intersect at the centroid. A median is a line that goes from one vertex to the midpoint of the opposite side. In this case, we go from point E to the midpoint of side CD. The midpoint of CD is found by bisecting segment CD (see choice 5)

----

Choice 3 is true. This is effectively the same as choice 5 below. The "perpendicular" aspect does not matter.

----

Choice 4 is false. Following the steps mentioned here will create an altitude line (see choice 1)

----

Choice 5 is true. To bisect something is to cut it in half. Let's say that point F is the midpoint of line segment CD. This means that line segment EF is one of the three medians of triangle CDE.

-------

edit update: I changed choice 3 from false to true

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hram777 [196]
System: x + y = 44; x = 2y + 2

Solve with substitution: x = 30; y = 14



x + y = 44
x = 2y + 2

Substitute 2y + 2 for x

2y + 2 + y = 44

3y + 2 = 44

Subtract 2 on both sides.

3y = 42

y = 14

Now substitute back in.

x + 14 = 44

Subtract 14 on both sides.

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