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cestrela7 [59]
3 years ago
8

DECK is a parallelogram with m∠1 = 20°, m∠(

{2}" align="absmiddle" class="latex-formula">)°, and m∠CED = (9x)°. Find m∠2.

Mathematics
1 answer:
maw [93]3 years ago
7 0

9514 1404 393

Answer:

  m∠2 = 16° or 25°

Step-by-step explanation:

The sum of angles 1 and 2 is congruent to angle CED.

  20° +(x^2)° = (9x)°

  x^2 -9x +20 = 0 . . . . . divide by °, put in standard form

  (x -5)(x -4) = 0 . . . . . . . factor

  x = 5 or 4

  m∠2 = (x^2)° = (5^2)° or (4^2)°

  m∠2 = 16° or 25°

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We can restate this problem as:

$13 is what percent of $52?

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"Percent" or "%" means "out of 100" or "per 100", Therefore p% can be written as <span>p100</span>.

When dealing with percents the word "of" means "times" or "to multiply".

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<span>$13=<span>p100</span>×$52</span>

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Step-by-step explanation:

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<em>{</em><em>f</em><em>i</em><em>n</em><em>d</em><em> </em><em>t</em><em>h</em><em>e</em><em> </em><em>o</em><em>t</em><em>h</em><em>e</em><em>r</em><em> </em><em>r</em><em>a</em><em>t</em><em>i</em><em>o</em><em>s</em><em>,</em><em> </em><em>5</em><em> </em><em>a</em><em>n</em><em>d</em><em> </em><em>7</em><em>)</em>

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Step-by-step explanation:

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