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3 years ago

Tell whether the following set is an empty set or not? A = { A quadrilateral having 3 obtuse angles}

Mathematics

2 answers:

Dovator [93]3 years ago

7 0

Answer:

No.

Step-by-step explanation:

A quadrilateral with 3 obtuse angles is possible. You could have 100°+100°+100°+60° quadrilateral or whatever. As long as it's inner angles add up to 360°, it is possible.

Step2247 [10]3 years ago

3 0

Answer:

$\boxed{\mathrm{It \: is \: not \: an \: empty \: set}}$

Step-by-step explanation:

A quadrilateral with 3 obtuse angles is possible.

A obtuse angle has a measure of more than 90 degrees and less than 180 degrees.

Let’s say three angles are measuring 91 degrees in a quadrilateral.

91 + 91 + 91 + x = 360

x = 87

The measure of the fourth angle is 87 degrees which is less than 360 degrees and is a positive integer, so it is possible.

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Please helpppppppppp

Vadim26 [7]

Answer:

Felipe is correct

Step-by-step explanation:

Note the difference between consecutive terms is constant, that is

16 - 24 = 8 - 16 = 0 - 8 = - 8

This indicates the sequence is arithmetic

The explicit formula for an arithmetic sequence is

f(n) = a₁ + (n - 1)d

where a₁ is the first term and d the common difference

Here a₁ = 24 and d = - 8, thus

f(n) = 24 - 8(n - 1) = 24 - 8n + 8 = 32 - 8n ← Felipe's answer

8 0

4 years ago

Please Help me to answerthe questions and options are in picture

sergejj [24]

Evelyn has initially $524.96, then she paid $32.50, so she will have less than $500. In order to have at least $500, she needs to deposit the value x.

So the initial value, minus the value paid, plus the deposit needs to be greater than or equal 500, so we have the inequality:

$524.96-32.5+x\ge500$

Solving this inequality for x, we have:

$\begin{gathered} 492.46+x\ge500 \\ x\ge500-492.46 \\ x\ge7.54 \end{gathered}$

Therefore the correct option is the first one (a).

7 0

1 year ago

Each day that a library book is kept past its due date, a $0.30 fee is charged at midnight. Which ordered pair is viable solutio

madam [21]

Let's say the number of days library book is late is X, and the total fee is Y.

Liability charges $0.30 dollars as a fee for being 1 day late,

For being 1 day late, fee charge is: 1* $0.30

So, for X days the charge would be: X*$0.30.

Total charge for being X days late is Y, Which means: Y= 0.30 * X.

Now We would have to check all the viable solutions in the answer to see if they satisfy the equation Y= 0.30 * X

Option one(-3, -0.9) and two (-2.5, -0.75) Would not be a viable solution because the value of number of days can not be negative and in option one and two, value of days -3 and -2.5 is negative.

Option three(4.5, 1.35) can not be correct because library charges fee for a full day so the number for days would be a whole number. Library would not charge for 4.5 days, they would either charge of 4 days or 5 days because 4.5 is not an whole number.

Option four(8, 2.40) is the correct answer because it satisfies our equation;

Y= 0.30 * X

2.40= 0.30 * 8

2.40 = 2.40.

Fourth option (8, 2.40) is the only viable solution to this question.

Read more on Brainly.com - brainly.com/question/359512#readmore

8 0

3 years ago

Which of the following expressions is not equivalent to -4.5 • -8?

denpristay [2]

Answer: (8)(-4.5)

Step-by-step explanation: