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hammer [34]
3 years ago
5

Compare 7 x 103 and 5 x 102. A) 7 x 103 is 14 times larger than 5 x 102. B) 7 x 103 is 4 times larger than 5 x 102. C) 7 x 103 i

s twice as large as 5 x 102. D) 7 x 103 is 5 times larger than 5 x 102.
Mathematics
1 answer:
Tom [10]3 years ago
8 0
7 * 10^3 = 7 * 1000 = 7000
5 * 10^2 = 5 * 100 = 500

7000/500 = 14

so 7 * 10^3 is 14 times larger then 5 * 10^2 <==
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The measure of the supplement of an angle is seven times as large as the measure of its complement find the measure of the angle
8090 [49]

Answer: original angle = 75°

Its supplement 105°

Its complement = 15°

Step-by-step explanation:

We know that,

  • Sum of supplementary angles is 180 degrees.
  • Sum of complementary angles is 90 degrees.

Let x be the original angle , then its supplement = 180° - x

its complement = 90° - x

As per given,

180° - x = 7(90° - x)

⇒ 180° - x = 630° - 7x

⇒  7x- x = 630° -180°

⇒  6 x = 450°

⇒  x = 75°  [divide both sides by 6]

So, original angle = 75°

Its supplement =  180° - 75° = 105°

Its complement = 90° -75° = 15°

Hence,  original angle = 75°

Its supplement 105°

Its complement = 15°

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