Where can the perpendicular bisectors of an acute triangle intersect?

Mathematics

2 answers:

denpristay [2]2 years ago

5 0

Answer:

Step-by-step explanation:

Flauer [41]2 years ago

4 0

Answer:

I and II

Step-by-step explanation:

Statement I: The perpendicular bisectors of ABC intersect at the same point as those of ABE.

Statement 1 is true because the perpendicular bisectors intersect at the center of the circumcircle.

Since the two triangles have the same circumcircle, therefore, their perpendicular bisectors intersect at the same point. So statement I is true.

Statement II: The distance from C to D is the same as the distance from D to E.

Since they both, that is distance from C to D and the distance from D to E represent the radius of the circle therefore, they both are equal in length.

Therefore, only I and II are correct.

pErIoD

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Jack and Jane are married and both work. However, due to their responsibilities at home, they have decided that they do not want

Zanzabum

To solve a system of inequalities we graph both of them.
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To graph these, we solve both of them for y:
$x+y \leq 65
\\ x+y-x \leq 65-x
\\ y \leq 65-x$
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\\12.50x+10.00y-12.50x \geq 750-12.50x
\\10.00y \geq 750-12.50x
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The attached screenshot shows what the graph looks like. Going to the point where they intersect, we see that the shaded region that satisfies both inequalities begins when Jane works 40 hours and Jack works 25.