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Deffense [45]
2 years ago
6

For which of the following situations would the order that items are chosen not matter? Finding the number of ways to choose a c

arrot and broccoli out of 10 vegetables. Finding the number of ways to choose Al, Bob, and Carl out of a class of 30 students. Finding the number of ways to choose 2 vegetables out of 10. Finding the number of ways to choose 3 students out of a class of 30. Finding the number of ways to choose 4 letters out of 12.
Mathematics
2 answers:
V125BC [204]2 years ago
4 0

Answer: Finding the number of ways to choose 4 letters out of 12

Step-by-step explanation:

The two situations above didn’t even mention letters. One situation mentioned carrot and broccoli out of 10 vegetables. The other situation mentioned Al, Bob and Carl out of a class of 30 students.

The number of letters (4) out of total letters (10) doesn’t matter because it wasn’t one of the two previously mentioned situations.

Montano1993 [528]2 years ago
3 0

Answer:

yes

Step-by-step explanation:

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Identify the dependent variable in this situation:
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2 years ago
IN ΔBCD line N is the perpendicular bisector of BC and line M is the perpendicular bisector of CD
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Answer:

Correct answer is D(the intersection of lines N and M)

Step-by-step explanation:

we Know that  circumcenter of a triangle is  point at which the perpendicular bisectors of the sides of a triangle intersect and which is equidistant from the three vertices. In other words circumcenter of a triangle is the center of the circle which  passes through the vertices of the triangle. It means, any side of the triangle will act as a chord of the circumcircle. Hence the circumcenter of a triangle must lie on the perpendicular bisectors of the sides. therefore the intersection of line N and M must be  circumcenter of the triangle.

I hope this answer will help you

4 0
3 years ago
In the adjoining figure, XY = XZ . YQ and ZP are the bisectors of <img src="https://tex.z-dn.net/?f=%20%5Cangle" id="TexFormula1
svetlana [45]

Answer:

See Below.

Step-by-step explanation:

Statements:                                              Reasons:

1)\, XY=XZ                                              Given

2) \text{ $ m\angle Y= m\angle Z$}                                        Isosceles Triangle Theorem

\displaystyle 3) \text{ $m\angle Y=m\angle XYQ + \angle QYZ$}                  Angle Addition

\displaystyle 4)\text{ $YQ$ bisects $\angle XYZ$}                               Given

5) \text{ $m\angle XYQ=m\angle QYZ$}                           Definition of Bisector

\displaystyle 6)\text{ $m\angle Y=2m\angle QYZ$}                               Substitution

7)\text{ $m\angle Z=m\angle XZP+m\angle PZY$}              Angle Addition

8)\text{ $ZP$ bisects $\angle XZY$}                              Given

\displaystyle 9) \text{ $m\angle XZP=m\angle PZY$ }                          Definition of Bisector

\displaystyle 10) \text{ $ m\angle Z = 2m\angle PZY $}                            Substitution

11)\text{ } 2m\angle QYZ=2m\angle PZY                    Substitution

12)\text{ }m\angle QYZ=m\angle PZY                        Division Property of Equality

13)\text{ } YZ=YZ                                         Reflexive Property

14)\text{ } \Delta YZP\cong\Delta ZYQ                             Angle-Side-Angle Congruence*

15)\text{ } YQ=ZP                                         CPCTC

*For clarification:

∠Y = ∠Z

YZ = YZ (or ZY)

∠PZY = ∠QYZ

So, Angle-Side-Angle Congruence:

ΔYZP is congruent to ΔZYQ

5 0
3 years ago
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