The plan that cannot be used to prove that the two triangles are congruent based in the given information is: b. ASA.
<h3>How to Prove Two Triangles are Congruent?</h3>
The following theorems can be used to prove that two triangles are congruent to each other:
- SSS: This theorem proves that two triangles are congruent when there's enough information showing that they have three pairs of sides that are congruent to each other.
- ASA: This theorem shows that of two corresponding angles of two triangles and a pair of included congruent sides are congruent to each other.
- SAS: This theorem shows that if two triangles have two pairs of sides and a pair of included angle that are congruent, then both triangles are congruent to each other.
The two triangles only have a pair of corresponding congruent angles, while all three corresponding sides are shown to be congruent to each other.
This means that ASA which requires two pairs of congruent angles, cannot be used to prove that both triangles are congruent.
The answer is: b. ASA.
Learn more about congruent triangles on:
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It’s a reflection across the x-axis
bearing in mind that there are 60 minutes in 1 degree and 60 seconds in 1 minute.
let's start off by subtracting the degrees, 60° - 30° = 30°.
now, we have 50'40", let's make them all in seconds, let's see 50*60 = 3000 seconds plus 40 = 3040 seconds.
40'50" is 40*60 = 2400 seconds plus 50 = 2450 seconds.
3040' - 2450' = 590'.
so is really 30°590", let's get the minutes from that, 590/60 gives us a quotient of 9 and a remainder of 50, so is 9 minutes and 50 seconds.
<h2>30° 9' 50".</h2>