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3 years ago

Which of the following is not part of the Converse of the Triangle Proportionality Theorem?

2 answers:

7 0

The <u>correct answer</u> is:

A) A perpendicular line to one side of a triangle.

Explanation:

The converse of the triangle proportionality theorem states "<span>If a line divides two sides of a triangle proportionally, then that line is parallel to the third side."

The AA similarity theorem is part of this, as we are looking at the ratios of the sides.
Proportionality of the sides is part of this, as it is stated in the converse.
A parallel line to one side of a triangle is part of this, again as it is stated in the converse.</span>

defon3 years ago

3 0

Answer:

Option: A is the answer.

( A. A perpendicular line to one side of a triangle )

Step-by-step explanation:

The converse of proportionality theorem states that:

" If a line divides two sides of a triangle proportionally, then that line is parallel to the third side "

Hence we are asked to find which statement is not a part of the Converse of Triangle Proportionality theorem.

The statement is:

" A perpendicular line to one side of a triangle "

Hence option A is the answer.

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What two numbers multiply to 54 and add up to 7

k0ka [10]

Xy = 54
x + y = 7

$xy = 54$
$\frac{xy}{x} = \frac{54}{x}$
$y = \frac{54}{x}$

$x + y = 7$
$x + \frac{54}{x} = 7$
$\frac{x^{2}}{x} + \frac{54}{x} = 7$
$\frac{x^{2} + 54}{x} = 7$
$x^{2} + 54 = 7x$
$x^{2} - 7x + 54 = 0$
$x = \frac{-(-7) \± \sqrt{(-7)^{2} - 4(1)(54)}}{2(1)}$
$x = \frac{7 \± \sqrt{49 - 216}}{2}$
$x = \frac{7 \± \sqrt{-167}}{2}$
$x = \frac{7 \± i\sqrt{167}}{2}$
$x = \frac{7 \± 12.9i}{2}$
$x = 3.5 \± 6.45i$
$x = 3.5 + 6.45i$ $or$ $3.5 - 6.45i$

x + y = 7
3.5 + 6.45i + y = 7
- (3.5 + 6.45i) - (3.5 + 6.45i)
y = 3.5 - 6.45i
  (x, y) = (3.5 + 6.45i, (3.5 - 6.45i)

  or

  x + y = 7
3.5 - 6.45i + y = 7
- (3.5 - 6.45i)   - (3.5 - 6.45i)
y = 3.5 + 6.45i
(x, y) = (3.5 - 6.45i, 3.5 + 6.45i)

The two numbers that add up to 7 and can multiply to 54 is 3.5 ± 6.45i.

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3 years ago

Sue drank 2/5 of her water bottle and sally drank 4/10 of her water bottle how much water did both girls drank?

stealth61 [152]

well, clearly the LCD from the denominators of 5 and 10 is just 10, thus

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