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jeyben [28]
3 years ago
8

Use the Order of Operations to evaluate this expression

Mathematics
1 answer:
Veronika [31]3 years ago
6 0
(-2+1^2)+5(12/3)-9
(1)+5(4)-9
1+20-9
21-9
12
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Given: See the diagram.
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Answer:

A. ASA criterion for congruent triangles.

Step-by-step explanation:

Given DG is perpendicular bisector of CA and DH is perpendicular bisector of AB.

In triangle DGC and DGA

DG=DG( reflexive property of equality)

\angle DGA=\angle DGC=90^{\circ} ( given )

\angle ADG=\angle CDG ( by definition of perpendicular bisector)

\therefore \triangle AGD\cong \triangle CGD ( ASA postulate)

Similarly, In triangle ADH and triangle BDH

DH=DH ( reflexive property of equality)

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\therefore \triangle ADH\cong \triangle BDH ( ASA postulate)

1.Statement: \overline{DG}\perp \overline{AC}

Reason: Given.

2. Statemnet: AG=GC

Reason: Given

3. Statement: \overline{DG} is perpendicular bisector of \overline{AC}

Reason: from step 1 and step 2.

4.Statement: DA=DC

Reason: ASA criterion for congruent triangles.

5 .Statement:\overline{DH} \perp \overline{AB}

Reason: Given

6.  Statement:AH=HB

Reason:Given

7.Statement: \overline{DH} si perpendicular bisector \overline{AB}

Reason: By definition of perpendicular bisector.

8.Statement: DA=DB

Reason : ASA criterion for congruent triangles.

9.Statement: DC=DB

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Hence proved.

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A decimal number is an irrational number
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