Write the tangent of ∠T as a fraction

1 answer:

3 0

Answer:

$\tan \angle T = \dfrac{SR}{TS} = \dfrac 43$

Step-by-step explanation:

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Using multiplication signal rules, it is found that:

A: Emma's statement is always false.

B: The result is always negative.

C: Emma's statement is always true.

The rule used for this exercise is as follows:

When two numbers of different signals are multiplied, the result is negative.
When two numbers have the same signal, the result is positive.

Part A:

Three numbers are multiplied, all negative.
The multiplication of the first two result in a positive number.
Then, this positive number is multiplied by a negative number, and the result will be negative, which mean that Emma's statement is always false.

Two examples are:

$-2.5(-3.8)(-2) = 9.5(-2) = -19$

$-2.5(-2)(-0.7) = 5(-0.7) = -3.5$

Part B:

The rule is that the result is always negative.

Part C:

The multiplication of the first two negative numbers result in a positive number.
Then, this positive number is multiplied by another positive number, and the result will be positive, which mean that Emma's statement is always true.

Two examples are:

$-2.5(-3.8)(2) = 9.5(2) = 19$