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Vesnalui [34]
2 years ago
8

Find the value of X in each of the given triangles.​

Mathematics
1 answer:
pychu [463]2 years ago
8 0

Answer:

x = 24

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

<u>Geometry</u>

  • All angles in a triangle add up to 180°

Step-by-step explanation:

<u>Step 1: Set Up Equation</u>

3x + 2x + 60° = 180°

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

  1. Combine like terms:                    5x + 60 = 180
  2. Isolate <em>x </em>term:                              5x = 120
  3. Isolate <em>x</em>:                                       x = 24
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Unit4: Congruent Triangles Hw 1: Classifying Triangles Gina Wilson (All things algebra) 2014
anastassius [24]

Answer:

  • 12. x = 6, side = 83
  • 13. x = 18, side = 29
  • 14. x = 11, sides = 74, 74 and 37
  • 15. x = 23, sides = 95, 95 and 108

Step-by-step explanation:

<em>11 is incomplete, can't solve</em>

12

<u>The triangle is equilateral, so all sides are equal, using one pair to find x:</u>

  • 13x + 5 = 17x - 19
  • 17x - 13x = 5 + 19
  • 4x = 24
  • x = 6

<u>Each side is:</u>

  • 13*6 + 5 = 78 + 5 = 83

13.

<u>Sides are equal as triangle is equilateral</u>

  • QR = 2x - 7
  • RS = 5x - 61
  • QS = x + 11

<u>Finding x by comparing two sides</u>

  • 2x - 7 = 5x - 61
  • 5x - 2x = 61 - 7
  • 3x = 54
  • x = 18

<u>Sides are equal</u>

  • 18 + 11 = 29

14.

<u>Equal sides of isosceles triangle:</u>

  • CD = DE
  • 9x - 25 = 6x + 8
  • 9x - 6x = 8 + 25
  • 3x = 33
  • x = 11

<u>Sides are</u>

  • CD = DE = 9*11 - 25 = 99 - 25 = 74
  • CE = 10*11 - 73 = 110 - 73 = 37

15.

<u>Equal sides of isosceles triangle WXY, WX = WY</u>

  • WX = 4x + 3
  • WY = 7x - 66
  • XY = 5x - 7
  • 4x + 3 = 7x - 66
  • 7x - 4x = 3 + 66
  • 3x = 69
  • x = 23

<u>Sides are:</u>

  • WX=WY = 4*23 + 3 = 95
  • XY = 5*23 - 7 = 108
6 0
3 years ago
Read 2 more answers
Write the following linear function in slope intercept form.
Oduvanchick [21]

Answer:

Step-by-step explanation:

my guessing skills be like y=-3x+1

7 0
2 years ago
Solve the following equation algebraically:<br> 3 x squared = 12
Inessa05 [86]
X = 2 or -2

either way it’s still 12 , hope this helps !
7 0
3 years ago
Read 2 more answers
Explain how to divide 3/4 ÷ 3/8 by using reciprocal of 3/8​
sertanlavr [38]

The reciprocal of 3/8 would be 8/3 (basically reversing the numbers).

When dividing fractions, you can just multiply the first fraction by the reciprocal of the second fraction instead of dividing by the second fraction.

3/4 ÷ 3/8

= 3/4 × 8/3

Simplifying gives us the final answer:

= 2

Let me know if you need any clarifications, thanks!

5 0
3 years ago
Andre tried to solve the equation 1/4(x + 12) = 2. What was his mistake? *
Umnica [9.8K]

Answer:

x=-4

Step-by-step explanation:

x+12=8    

x=8-12

Andre did not multiple both by four to get the exact whole number. He also, didnt subtract 12 which is not possible due to it being multiplied by 1/4.

5 0
3 years ago
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