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Nina [5.8K]
3 years ago
5

M∠A = 75 + 5x

Mathematics
1 answer:
Firlakuza [10]3 years ago
6 0

Answer:

See below

Step-by-step explanation:

For a parallelogram m < A = m < C so:-

75 + 5x = 87 + 3x

2x = 12

x = 6  

and m< A = 75 + 30 = 105

and m < C = 87 + 18 = 105

Now if the other 2 angles are  = 75 degrees( that is the same side angles add up to 180 degrees) we have proved that it is a parallelogram.

m < B = m < D

111 - 6x = 39 + 6x

-12x = -72

x = 6

m < B = 111 - 36 = 75 and m < D = 39 + 36 = 75

So this has been proved.

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What is the value of x in this equation?<br><br> 2x – 12 = -52
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Answer:

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General Formulas and Concepts:

<u>Pre-Algebra</u>

Order of Operations: BPEMDAS

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

Equality Properties

  • Multiplication Property of Equality
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Step-by-step explanation:

<u>Step 1: Define</u>

2x - 12 = -52

<u>Step 2: Solve for </u><em><u>x</u></em>

  1. Add 12 on both sides:                     2x = -40
  2. Divide 2 on both sides:                   x = -20

<u>Step 3: Check</u>

<em>Plug in x into the original equation to verify it's a solution.</em>

  1. Substitute in <em>x</em>:                      2(-20) - 12 = -52
  2. Multiply:                                 -40 - 12 = -52
  3. Subtract:                                -52 = -52

Here we see that -52 does indeed equal -52.

∴ x = -20 is the solution to the equation.

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