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ikadub [295]
10 months ago
9

6. Sofia has 42 candy apples. She has 6 times as many candy apples as Cataleya. How many candy apples does Cataleya have?

Mathematics
2 answers:
Schach [20]10 months ago
7 0
She has 7 apples 42 divided 6 is 7
Y_Kistochka [10]10 months ago
3 0
She has 7 apples because 42 divided by 6 is 7.
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Answer:

See explanation

Step-by-step explanation:

Consider triangles ACM and BCM. In these triangles,

  • m\angle 3=m\angle 4 - given;
  • m\angle 1=m\angle 2=90^{\circ} - definition of perpendicular lines CM and AB;
  • \overline{CM}\cong \overline{CM} - reflexive property.

So,

\triangle ACM\cong \triangle BCM by ASA postulate (if one side and two angles adjacent to this side of one triangle are congruent to one side and two angles adjacent to this side of another triangle, then two triangles are congruent).

Two-column proof:

      Statement                                 Reason

1. m\angle 3=m\angle 4                          Given

2. CM\perp AB                        Given

3. m\angle 1=m\angle 2=90^{\circ}       Definition of perpendicular lines CM and AB

4. \overline{CM}\cong \overline{CM}          Reflexive property

5. \triangle ACM\cong \triangle BCM                       ASA postulate

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