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steposvetlana [31]
3 years ago
15

30 POINTS!!!! Complete the proof of the Pythagorean theorem

Mathematics
1 answer:
Pepsi [2]3 years ago
3 0

Answer:

1. ΔABC is a right triangle, with a right angle at ∠C.  ~  Given

2. Draw an altitude from point C to (line segment) AB  ~  From a point not on a line, exactly one perpendicular can be draw through the point to the line.

3. ∠CDB and ∠CDA are right angles  ~  Definition of altitude

4. ∠BCA  ≅ ∠BDC  ~  All right angles are congruent

5. ∠B  ≅ ∠B  ~  Reflexive Property

6. ΔCBA ~ ΔDBC  ~  AA Similarity Postulate

7. a/x = c/a  ~  Polygon Similarity Postulate

8. a^2 = cx  ~  Cross Multiply and Simplify

9. ∠CDA  ≅ ∠BCA  ~  All Right Angles are Congruent

10. ∠A  ≅ ∠A  ~  Reflexive Property

11. ΔCBA ~ ΔDBA  ~  AA Similarity Postulate

Step-by-step explanation:

plz brainly me :)

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Find the value of x.A.66B.58C.68D.32
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Answer:

x = 66

Step-by-step explanation:

Remark

98 is an exterior angle. Exterior angles are the sum of the two remote interior angles. The remote interior angles have 2 properties

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  • They each share a side with the remote interior angle.

It's much easier just to make an equation.

x + 32 = 98             Subtract 32 from each side

<u>  - 32    -32</u>

x = 66

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A jewelry supply shop buys silver chains from a manufacturer for c dollars each, and then sells the chains at a 57-percent marku
Tresset [83]

The amount added to the original price of the jewelery is the Markup price. Hence, the amount added is $16.34

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Retail price = cost of jewellery + Markup

$45 = c + 0.57c

45 = 1.57c

<em>Divide both sides by 1.57</em>

c = 45/1.57

c = $28.66

The Markup price = (Retail price - Original price)

  • Markup = $45 - $28.66 = $16.34

Therefore, the amount added to the original price is $16.34

Learn more : brainly.com/question/18796573

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Answer:

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Step-by-step explanation:

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Step-by-step explanation:

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