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nasty-shy [4]
2 years ago
13

Find the point, M, that divides segment AB into a ratio of 3:2 if A is at (0, 15) and B is at (20, 0).

Mathematics
1 answer:
Temka [501]2 years ago
4 0

Answer:

(12, 6 )

Step-by-step explanation:

To find M use the Section formula

x_{M} = \frac{3(20)+2(0)}{3+2} = \frac{60}{5} = 12

y_{M} = \frac{3(0)+2(15)}{3+2} = \frac{30}{5} = 6

M = (12, 6 )

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Jocelyn said that the triangle below is not a right triangle. Her work is shown below. Explain what she did wrong, and show Jocelyn the correct solution.

We need to check if 27² + 45² = 36² is a true statement. The left side of the equation is equal to 2,754. The right side of the equation is equal to 1,296. That means 272 + 452 = 362 is not true, and the triangle shown is not a right triangle

Answer/Step-by-step explanation:

Jocelyn used a wrong equation and statement.

Here's what she should have stated and done.

Using the converse of Pythagorean Theorem, which says that a triangle with sides a, b, and c is a right triangle if it satisfy the statement: a² + b² = c².

Where, c is the hypotenuse which is the longest leg. While a and b are the side lengths of the other two legs.

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2,025 = 2,025 (this is true)

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