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Doss [256]
3 years ago
11

HELPPPP !! Find the measure of angle LMN if the measure of angle LMP is 107 !!

Mathematics
1 answer:
Rama09 [41]3 years ago
5 0

Answer:

m∠LMN = 29°

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

Step-by-step explanation:

<u>Step 1: Set up equation</u>

m∠LMN and m∠NMP must add up to m∠LMP

(2x - 1)° + (5x + 3)° = 107°

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

  1. Combine like terms:                    7x + 2 = 107
  2. Isolate <em>x</em> term:                              7x = 105
  3. Isolate <em>x</em>:                                       x = 15

<u>Step 3: Find m∠LMN</u>

  1. Define:                    m∠LMN = (2x - 1)°
  2. Substitute in <em>x</em>:       m∠LMN = (2(15) - 1)°
  3. Multiply:                  m∠LMN = (30 - 1)°
  4. Subtract:                 m∠LMN = 29°
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Our work: -2x + 4 = 5 - 3x
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Answer:

x=1

Step-by-step explanation:

-2x + 4 = 5 - 3x

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________________________
xenn [34]

✩ Answer:

 ✧・゚: *✧・゚:*✧・゚: *✧・゚:*✧・゚: *✧・゚:*  

 \bold{Hello!}\\\bold{Your~answer~is~below!}  

✩ Step-by-step explanation:

 ✧・゚: *✧・゚:*✧・゚: *✧・゚:*✧・゚: *✧・゚:*

✺ Divide both sides by −3. Since −3 is negative, the inequality direction is changed:

  • -3 ÷ -3 = Cancels Out
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✺ Divide −9 by −3 to get 3. Since they are both negatives it turns into a positive:

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✺ Swap sides so that all variable terms are on the left hand side. This changes the sign direction once more:

  • Turns into: 5x-2

✺ Add 2 to both sides:

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  • 3 + 2 = 5
  • Turns into: 5x

✺ Divide both sides by 5. Since 5 is positive, the inequality direction remains the same:

  • 5 ÷ 5 = Cancels Out
  • Turns into: x

✺ Divide 5 by 5 to get 1:

  • 5 ÷ 5 = 1

✺  So your answer is B, \boxed{x.

(Number line is below.)

Hope~this~helps~and,\\Best~of~luck!\\\\~~~~~-TotallyNotTrillex

5 0
2 years ago
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Irina18 [472]

Answer:

<h2>(d) 112 m²</h2>

Step-by-step explanation:

We know by given that the bases of the form are 10 and 18 meters, and its height is 8 meters.

The area of a trapezoid is defined as

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Replacing given values, we have

A=\frac{(18+10)8}{2}=112 \ m^{2}

Therefore, the right answer is D.

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