Ann and Betty shared a sum of money in the ratio 2:3. If Ann received $120,what was the amount of money shared?
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ANSWER: ∠T = 32.4°
Remember the formula for the basic trig functions: SOH CAH TOA
Since you want to find cosine for <T, you need the adjacent side length as well as the hypotenuse's length which can be found using the Pythagoras's Theorem with <em>a </em> and <em>b</em> being the side lengths and <em>c</em> being the hypotenuse.
Using the theorem, we get c=37
Now use the cosine formula to get <T = 12/37 to get the final answer.
ΔJKL and ΔXYZ CANNOT be congruent triangles because: the hypotenuse of one triangle is equal in length to the leg of the other triangle.
<h3>What are Congruent Triangles?</h3>Congruent triangles are triangles whose corresponding sides are congruent to each other.
The hypotenuse of triangle JKL(KL = 10) is congruent to a leg of triangle XYZ (YX = 10). This implies that they cannot be congruent triangles.
Therefore, ΔJKL and ΔXYZ CANNOT be congruent triangles because: the hypotenuse of one triangle is equal in length to the leg of the other triangle.
Learn more about congruent triangles on:
