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PSYCHO15rus [73]
3 years ago
10

Find the length of YX

Mathematics
1 answer:
koban [17]3 years ago
8 0

Answer:

YX = 22

Step-by-step explanation:

Similar triangles. So,

\frac{VW}{XW}=\frac{VZ}{YX}\\\\\frac{45}{30}=\frac{3x-9}{x+8}\\

Cross multiplication

45*(x+8) = 30 * (3x - 9)

45x + 360 = 90x - 270

360 = 90x - 270 - 45x

360 = 45x - 270

360 + 270 = 45x

45x = 630

x = 630/45

x = 14

YX = x +8 = 14 + 8 = 22

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Answer:

\displaystyle x = \frac{216}{7}

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: Define</u>

<u />\displaystyle \frac{6}{19} = \frac{x - 12}{2x - 2}<u />

<u />

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

  1. Cross-multiply:                     \displaystyle 6(2x - 2) = 19(x - 12)
  2. Distribute:                             \displaystyle 12x - 12 = 19x - 228
  3. Isolate <em>x</em> terms:                     \displaystyle -12 = 7x - 228
  4. Isolate <em>x</em> term:                      \displaystyle 216 = 7x
  5. Isolate <em>x</em>:                               \displaystyle \frac{216}{7} = x
  6. Rewrite:                                \displaystyle x = \frac{216}{7}
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Answer:

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Step-by-step explanation:

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