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Nataly [62]
4 years ago
10

What is the value of x in this simplified expression

Mathematics
1 answer:
arsen [322]4 years ago
8 0

Answer:

7

Step-by-step explanation:

  • (-j)^-7 = 1/(-j)^x

Changing LHS as

  • 1/(-j)^7 = 1/(-j)^x

Comparing LHS and RHS

  • x = 7
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A palindromic number is a number that reads the same forwards as it does
bazaltina [42]

Palindromes are numbers whose reverse is the same as the original number

There are twenty-five 5-digit palindromic numbers, that have digits that add up to 14

<h3>How to determine the count of 4-digit palindromes</h3>

The digit of the palindromic number is 5.

This means that:

  • The first digit of the palindrome can be any of 1 to 7 (because 7 is half of 14)
  • The second digit can be any of 0 - 6 (i.e. 7 digits)
  • The third digit can be any of 9 digits
  • The fourth digit must be the second digit (i.e. 1 digit)
  • The last digit must be the first digit (i.e. 1 digit)

So, the total number of digits is:

Digits = 7 + 7 + 9 + 1  +1

Evaluate the sum

Digits = 25

Hence, there are twenty-five 5-digit palindromic numbers, that have digits that add up to 14

Read more about palindromes at:

brainly.com/question/26375501

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2 years ago
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The sum of measures of two alternate interior angles of two parallel lines with a transversal is 210°. What are the possible mea
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<u>Solution-</u>

If the lines are parallel, then the alternate interior angles are congruent.

As the sum of measures of the two alternate interior angles = 210°

⇒ Measure of one alternate interior angles = 105°

So \ m\angle 1 = m\angle3=105^{\circ}= m\angle5= m\angle 7


Since a straight angle contains 180º, the two angles forming a linear pair also contain 180º when their measures are added (making them supplementary).

So \ m\angle 1 + m\angle2 = 180^{\circ},m\angle 3 + m\angle4 = 180^{\circ},m\angle 5+ m\angle6 = 180^{\circ} \ and \ m\angle 7 + m\angle8 = 180^{\circ}

So \ m\angle 2= 75^{\circ}, m\angle4=75^{\circ}, m\angle 6=75^{\circ} \ and \ m\angle 8=75^{\circ}


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3 years ago
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