which of the following is a counterexample for the hypothesis if the team plays at home then they win the game

Mathematics

2 answers:

zhenek [66]2 years ago

8 0

The team plays at home and loses the game

Ksenya-84 [330]2 years ago

6 0

The given hypothesis is

"The team plays at home then they win the game".

we are supposed to find counterexample for the given hypothesis.

Since the given hypothesis says "The team plays at home then they win the game". It mean the counterexample will include the scenario in which team plays at home and loses.

Hence the counterexample is

"The team plays at home then they loses the game".

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PLEASE HELP!! if sec x=5/3 what is the value of b? NL=20 LM=3b angle of L is x degrees.

Readme [11.4K]

Answer:

a. b=4

Step-by-step explanation:

$\sec \theta =\dfrac{1}{\cos \theta} = \dfrac{Hypotenuse}{Adjacent}$

From the attached triangle drawn below:

NL=20, LM=3b, $\angle L=x^\circ$

$\sec x =\dfrac{20}{3b}$

Since we are told that:

$\sec x =\dfrac{5}{3}\\$Then:\\\dfrac{20}{3b} =\dfrac{5}{3}\\$Cross multiply\\5 \times 3b =20 \times 3\\15b=60\\$Divide both sides by 15\\15b \div 15 =60 \div 15\\b=4$