To find whether or not the ratios are proportional, simplify. The first ratio is already simplified, so simplify the second one. to do this, find what factors 24 and 35 have in common.
Factors of 24: 1, 2, 3 ,4, 6, 8, 12, 24
Factors of 35: 1, 5, 7, 35
It looks like there are now common factors between 24 and 35. For the ratios to be proportional, they have to have the same value. If 24/35 can't be simplified to 4/7, the factors are not proportional.
So, to answer the question: No, the ratios are NOT proportions. I hope this helps and have a great rest of your day!
Answer:
very beautiful question....
Option B
Step-by-step explanation:
X= 57-23=34
Answer
hope it helps
Answer:
I think it’s 12.6
Step-by-step explanation:
Answer:
bb bb bb bb bb BB BBB bb BB BBB
The correct answer is: [B]: " ∠C ≅ ∠F " .
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Note: We are given that:
"I<span>n △ABC, m∠A=38° and m∠B=67 " .
Since a triangle has three (3) angles (by definition) ; and since all 3 angles in any triangle must add up to 180</span>°<span> (by definition); we can solve for:
m</span>∠C ;
m∠C = 180 − (38 + 67) = 180 <span>− 105 = 75 .
</span>m∠C = 75° ;
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Likewise, given △DEF, m∠D=38° and m∠E=67 ; we find m∠F as follows:
m∠F = 180 - (38 + 67) = 180 − 105 = 75 .
m∠F = 75° .
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So, let us consider the answer choices given:
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Choice [A]: "m∠F = 67° " ; is incorrect. We know that "<span>m∠F = 75° " .
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Choice [B]: " </span>∠C ≅ ∠F " is correct. We know that ΔABC ≅ ΔDEF ; and that;
m∠A = m∠D = 38° ; and that: m∠B = m∠E = 67° ; and that:
m∠C = m∠F = 75° ; and as such:
∠A ≅ D ; and ∠B ≅ ∠E ; and ∠C ≅ ∠F .
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Choice [C]: "<span>m∠C = 75° only" ; is incorrect. While it is correct that:
"m</span><span>∠C = 75° " ; this answer choice is INCORRECT; since this answer choice is not the ONLY answer choice provided that holds true. In fact, we have already determined that answer choice: [B] (see above) is a correct statement.
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Choice [D]: "</span><span>∠C is not necessarily congruent to ∠F. " ; This answer choice is INCORRECT; as explained in Answer choice: [B]: (see above).
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Choice [E]: "</span>It is not possible to determine m∠F." ; This answer choice is INCORRECT. We know that " m∠F = 75° " .
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Choice [F]: " <span>It is not possible to determine m∠C." ; This answer choice is
INCORRECT. We know that " m</span>∠C = 75° " .
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The correct answer is: [B]: " <span>∠C ≅ ∠F " .
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