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igor_vitrenko [27]
3 years ago
10

Is 12/42=10/35 a true proportion

Mathematics
1 answer:
olya-2409 [2.1K]3 years ago
3 0
Yes, they both are 2/7

Proof: Left-hand side

Simplify the following:
12/42

The gcd of 12 and 42 is 6, so 12/42 = (6×2)/(6×7) = 6/6×2/7 = 2/7:
Answer:  2/7
Right-hand side:

Simplify the following:
10/35
The gcd of 10 and 35 is 5, so 10/35 = (5×2)/(5×7) = 5/5×2/7 = 2/7:
Answer:  2/7
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Hi there, hope everyone is well and staying cool :D
gogolik [260]

Answer:

A) By using the Pythagorean Theorem, we will see that 8^2 + 15^2 = 17^2. If we simplify it, we will find that the hypotenuse of ΔABC = 17

B) approximately 18.79

Step-by-step explanation:

A) In all honesty, you don't really need to look at ΔACD at all for this one. Just use the Pythagorean Theorem (like previously stated) and solve!

***Pythagorean Theorem is  leg^2 + leg^2 = hypotenuse^2

B) Here, you can also use the Pythagorean Theorem! However this time, the equation will be, 8^2 + 17^2 = AD.  

  • 8^2 + 17^2 = 64 +289
  • 64 + 289 = 385
  • \sqrt{385} \\ ≈ 18.79

Hope you do well on the rest of your math problems :D

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What is 7x-3=4x simplified?
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Answer:

x = 1

Step-by-step explanation:

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