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soldier1979 [14.2K]
2 years ago
15

Figure ABCD is a parallelogram. What is the value of x? A B O 6 ET O 7 8 5x + 3 38 09 D С​

Mathematics
1 answer:
kondor19780726 [428]2 years ago
6 0

Answer:

Given: It is given that  and .

To Prove: ABCD is a parallelogram.

Statements                                                                            

1.  and            

Reason: Given                                      

2.  are alternate interior angles      

Reason: Def of alternate interior angles

3.                                                

Reason: Alternate interior angles are congruent

4.                                                              

Reason: Reflexive property

5.                                                  

Reason: SAS congruency theorem

6.                                                        

Reason: Corresponding Parts of Congruent triangles are Congruent (CPCTC)

7. ABCD is a parallelogram                                  

Reason: Parallelogram Side Theorem

Step-by-step explanation:

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Step-by-step explanation:

According to Pythagoras theorem <em> "It states that the area of the square whose side is the hypotenuse is equal to the sum of the areas of the squares on the other two sides"</em>

mathematically it is stated as

c^2= a^2+b^2\\\\c=\sqrt{a^2+b^2}

Given that

c, hypotenuse= 17 ft

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