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Ratling [72]
3 years ago
11

Your paycheck each week is $500.00. If you want to save $2000 in one year, how much should you set aside from each paycheck?

Mathematics
1 answer:
Mnenie [13.5K]3 years ago
8 0
There are 52 weeks in a year. In order to figure out how much you have to save each week to save a total of $2000, you have to divide $2000 by 52. 

2000÷52= 38.462

So to save $2000 you would have to set aside about $38.50 each week. 
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Kelly was asked to determine whether △KLN is congruent to △MNL. She noted that KL ≅ MN, LM ≅ KN, and that the three pairs of cor
Art [367]

Answer:

<h2>Kelly is wrong, with this congruent parts, we can conclude that triangles are congruent.</h2>

Step-by-step explanation:

To demonstrate congruent triangles, we need to use the proper postulates. There are at least 5 postulates we can use.

  • Angle-Angle-Side Theorem (AAS theorem).
  • Hypotenuse-Leg Theorem (HL theorem).
  • Side-Side-Side Postulate (SSS postulate).
  • Angle-Side-Angle Postulate (ASA postulate).
  • Side-Angle-Side Postulate (SAS postulate).

In this case, Kelly SAS postulate, because the corresponding sides-angles-sides are congruent, i.e., KL ≅ MN and LM ≅ KN, also, all corresponding angles are congruent.

So, as you can see, only using SAS postulate, the congruency can be demonstrated. (Refer to the image attached to see an example of SAS postulate)

8 0
3 years ago
May someone solve and give explanation
torisob [31]

Answer:

x = 15.7945

General Formulas and Concepts:

<u>Pre-Algebra</u>

Order of Operations: BPEMDAS

  1. Brackets
  2. Parenthesis
  3. Exponents
  4. Multiplication
  5. Division
  6. Addition
  7. Subtraction
  • Left to Right

Equality Properties

  • Multiplication Property of Equality
  • Division Property of Equality
  • Addition Property of Equality
  • Subtraction Property of Equality<u> </u>

<u>Trigonometry</u>

  • [Right Triangles Only] SOHCAHTOA
  • [Right Triangles Only] sinθ = opposite over hypotenuse

Step-by-step explanation:

<u>Step 1: Define</u>

<em>Identify variables</em>

Angle θ = 33°

Opposite Leg = <em>x</em>

Hypotenuse = 29

<u>Step 2: Find Angle</u>

  1. Substitute in variables [sine]:                                                                           sin33° = x/29
  2. [Multiplication Property of Equality] Multiply 29 on both sides:                    29sin33° = x
  3. Rewrite:                                                                                                             x = 29sin33°
  4. Evaluate:                                                                                                           x = 15.7945
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