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liraira [26]
2 years ago
9

Janae found PointA located at ,(-2,5) and c is located at (6,1) . What would be the x coordinate of point b that bisects A and C

?
Mathematics
1 answer:
Alexxandr [17]2 years ago
8 0

A point that bisects a segment would be its midpoint. This is a case where the vocabulary  (bisect as opposed to midpoint) makes it harder.

To find the midpoint, we use the midpoint formula. The midpoint formula is:

midpoint = (x₁ + x₂/2, y₁ + y/2). To find it, you add the x coordinates and then divide them by 2. Repeat for the y coordinates.

x: (-2 + 6)/2 = 4/2 = 2

y: (5 +1)/2 = 6/2 = 3


Thus the point B bisecting AC is at (2, 3).

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<h3>Answer:  C) 42 inches</h3>

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Explanation:

Let's say we have a triangle with sides x,y,z

Also, let's further say we know that x = 19 and y = 28 (from AB and BC respectively).

The third missing side z can't be nailed down to a single number, but we can establish a possible range. That range is

y-x < z < y+x

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So any number between 9 and 47, excluding both endpoints, will work as a possible side length for the third missing side.

Something like 7 inches is too small, so we rule out choice B. Choice D is ruled out since 49 inches is too big. Same goes for choice A also.

The only thing left is choice C. The 42 is between 9 and 47

In other words, 9 < 42 < 47 is true.

So that's why the third missing side could be 42 inches.

Side note: I'm using a modification of the triangle inequality theorem.

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