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salantis [7]
3 years ago
7

Find one counter example to show that the conjecture is false. angle 1 and angle 2 are​ supplementary, so one of the angles is a

cute.
Choose the best counter example for the conjecture.
A. m ∠ 1 = 40° and m ∠ 2 = 144°B. m ∠ 1 = 90° and m ∠ 2 = 90°C. m ∠ 1 = 112° and m ∠ 2 = 68° D. m ∠ 1 = 33° and m ∠ 2 = 57°
Mathematics
1 answer:
Mrac [35]3 years ago
4 0

Answer:

B. m ∠ 1 = 90° and m ∠ 2 = 90°

Step-by-step explanation:

For most situations, the conjecture would probably be true, but there is one exception that makes this statement false.

When two right angles are supplementary, none of them is acute.

For an angle to be acute it needs to be lesser than 90°, and for a pair of angles to be supplementary they should add up to exactly 180°.

With a pair of right angles (90° each), their sum adds up to 180° but neither of them are acute.

Therefore, the answer is B. m ∠ 1 = 90° and m ∠ 2 = 90°

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The average reading score on certain tests is given by y = 0.153x + 255.4, where x is the number of years past 1970. In what yea
nirvana33 [79]

Average reading score is given by the expression,

        y = 0.153x + 255.4

Here, x in the number of years past 1970.

To find the year in which the average reading score is 259.378, substitute the value of 'y' in the given expression.

y = 0.153x + 255.4

259.378 = 0.153(x) + 255.4

0.153x = 259.378 - 255.4

0.153x = 3.978

x = \frac{3.978}{0.153}

x = 26

That means given average reading score 259.378 will be 26 years after 1970.

       Therefore, 1996 is the year in which the average reading score will be 259.378.

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stira [4]
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Step-by-step explanation:

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Step-by-step explanation:

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