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2 years ago

Use the converse of the side-splitter theorem to determine if . Which statement is true?

Mathematics

2 answers:

Whitepunk [10]2 years ago

6 0

Answer:

The answer to this question is the first option:

Line segment TU is parallel to line segment RS because 32/36=40/45

Zepler [3.9K]2 years ago

6 0

Answer:

The correct option is 1.

Step-by-step explanation:

From the given figure it is clear that QT=32, TR=36, QU=40 and US=45.

The converse of side splitter theorem states that if a line divides two sides proportionally, then that line is parallel to the third side.

The ratio in which TU divides the two sides is

$\frac{QT}{TR}=\frac{32}{36}=\frac{8}{9}$

$\frac{QU}{US}=\frac{40}{45}=\frac{8}{9}$

$\frac{QT}{TR}=\frac{QU}{US}=\frac{8}{9}$

It means the line TU divides two sides proportionally.

Using converse of side splitter theorem, Line segment TU is parallel to line segment RS because

$\frac{32}{36}=\frac{40}{45}$

Therefore the correct option is 1.

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Answer:

The total change that will likely occur in 2 years is $=-3\frac{2}{3}$ mg/L

Step-by-step explanation:

Given : The first year, they found the chloride concentration changed by $-1\frac{3}{5}$ mg/L .

It is estimated that the chloride concentration will change $-2\frac{1}{15}$ mg/L the next year.

To find : What is the total change that will likely occur in 2 years?

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The chloride concentration changed by $-1\frac{3}{5}=-\farc{8}{5}$ mg/L in first year.

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