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Debora [2.8K]
2 years ago
9

Pls help me figure out the slope

Mathematics
1 answer:
cluponka [151]2 years ago
7 0

Answer:

m=\frac{-4}{5}

General Formulas and Concepts:

<u>Pre-Algebra</u>

  • Order of Operations: BPEMDAS

<u>Algebra I</u>

  • Slope Formula: m=\frac{y_2-y_1}{x_2-x_1}

Step-by-step explanation:

<u>Step 1: Define</u>

<em>Find points from graph.</em>

Point (-3, 1)

Point (2, -3)

<u>Step 2: Find slope </u><em><u>m</u></em>

  1. Substitute:                    m=\frac{-3-1}{2+3}
  2. Subtract/Add:               m=\frac{-4}{5}
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Two bottles of soft drink can be serve 8 people.How many bottles of soft drink will be be needed to serve 40
riadik2000 [5.3K]

Answer: 10 bottles

Step-by-step explanation: 8 x 5 = 40. 2 x 5 = 10

4 0
2 years ago
In a word processing document or on a separate piece of paper, use the guide to construct a two column proof proving that lines
lisabon 2012 [21]

To enable the completion of the proof that line <em>l</em> is parallel to line <em>m</em>, a

diagram showing the lines and their common transversal is attached.

The completed two column proof is presented as follows;

Statement  {}                                                      Reason

1. ∠1 and ∠2 are supplementary angles  {}   1. Given

2. m∠1 + m∠2 = 180°   {}                                 2. <u>Definition of supplementary ∠s</u>

3. ∠1 and ∠3 are supplementary angles  {}  3. Exterior sides in opposite rays  

4. <u>m∠1 + m∠3 = 180° </u>    {}                                4. <u>Definition of supplementary ∠s</u>

5. m∠1 + m∠2 = m∠1 + m∠3      {}                   5. <u>Transitive property of equality</u>

6. <u>m∠2 = m∠3 </u>     {}                                        6. <u>Subtraction property of equality</u>    

7. l ║ m      {}                                                   7. <u>Converse of alternate interior </u>

    {}                                                                      <u>angles postulate</u>

Reasons:

  • Reason for statement 2: Supplementary angles are defined as two angles that sum up to 180°

  • Reason for statement 3: Two angles are supplementary if the exterior sides that form each angle are opposite rays (rays that are drawn out infinitely in opposite direction but have the same endpoint)

  • Statement 4: Mathematical expression of the sum of ∠1 and ∠3; Reason for statement 4 is the definition of supplementary angles

  • Reason for statement 5: Transitive property of equality describes the property that if a number <em>x</em> = <em>y</em>, and <em>z </em>= <em>y</em>, then <em>x</em> = <em>z</em>.

  • Statement 6: Subtracting m∠1 from both sides of the equation in statement 5. gives; m∠1 + m∠2 - m∠1 = m∠1 + m∠3 - m∠1 ⇒ m∠2 = m∠3. Reason for statement 6 is the subtraction property of equality

  • Reason for statement 7: The converse of the alternate interior angles postulate states that if the alternate interior angles formed between two  lines and a common transversal are congruent, the two lines are parallel.

Learn more here:

brainly.com/question/25178453

6 0
2 years ago
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drek231 [11]
So all of the internal angles of a triangle will add up to 180 degrees.  So if we add all of the expressions given and set them equal to 180, we can solve for x, then solve for each angle...

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So the 3 angles are 27 degrees, 36 degrees, and 117 degrees.

The smallest is 27 degrees

** Note-- I don't see 27 degrees in the answer choices you gave, so I double checked my math (I didn't find any mistakes).  Please check to see that the question is written correctly (pay close attention to plus and minus signs).
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