Answer:
the answer is 15'2" of the rope that is left
Step-by-step explanation:
Answer:
A i think
Step-by-step explanation:
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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Step-by-step explanation:
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