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BARSIC [14]
2 years ago
15

An angle measures 14° less than the measure of its complementary angle. What is the measure of each angle?

Mathematics
2 answers:
garri49 [273]2 years ago
8 0

Answer:

38 and 52

Step-by-step explanation:

x = small angle

Complementary angles add to 90 degrees

x + x+14 = 90

2x = 76

x= 38

90-38 = 52

52-14 = 38

38 +52 = 90

zmey [24]2 years ago
3 0
(180-14):2= 166:2= 83° (smaller angle)
(180-14):2+14= 166:2+14= 83+14= 97° (bigger angle)
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Answer:

Step-by-step explanation:

∠AHE + ∠AHK = 180    {linear pair}

6x + 7 + 35 = 180

6x + 42 = 180

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Answer:

m = 10

Step-by-step explanation:

The value of <em>m</em> that would make this equation true is <em>10</em>. To figure this out you must work the equation to combine like terms. To start, remember PEMDAS. You would begin with <em>1/2 (8m - 18) </em>and multiply both <em>8m </em>and <em>18 </em>by <em>1/2. </em>Because half of <em>8</em> is <em>4</em> and half of<em> 18</em> is <em>9</em>, your new equation would be <em>4m - 9 = 31. </em>From here you would add nine to both sides to finish combining like terms. The equation from this point should be <em>4m = 40.</em> To find the value of <em>m</em>, you then have to divide both sides by <em>4</em>, leading to the equation/solution of <em>m = 10.</em>

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A librarian has 4 identical copies of Hamlet, 3 identical copies of Macbeth, 2 identical copies of Romeo and Juliet, and one cop
lesantik [10]

Answer:

The number of distinct arrangements is <em>12600</em><em>.</em>

Step-by-step explanation:

This is a permutation type of question and therefore the number of distinguishable permutations is:

n!/(n₁! n₂! n₃! ... nₓ!)

where

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  • nₓ is the number of arrangements for the last object

In this case

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  • n₂ is the identical copies of Macbeth
  • n₃ is the identical copies of Romeo and Juliet
  • nₓ = n₄ is the one copy of Midsummer's Night Dream

Therefore,

<em>Number of distinct arrangements =  10!/(4! × 3! × 2! × 1!)</em>

<em>                                                         = </em><em>12600 ways</em>

<em />

Thus, the number of distinct arrangements is <em>12600</em><em>.</em>

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