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2 years ago

Which biconditional is NOT a good definition?

Mathematics

2 answers:

Lady_Fox [76]2 years ago

8 0

The answer is D because and obtuse angle is 91 degrees or more

Vladimir79 [104]2 years ago

6 0

<h2>Answer:</h2>

Option: d is the correct answer.

d. An angle is obtuse if and only if its measure is greater than 180°

<h2>Step-by-step explanation:</h2>

<u>Acute angle--</u>

An angle is acute if and only if the measure of the angle is strictly less than 90 degree.

<u>Right angle--</u>

An angle is right angle if and only if the measure of the angle is exactly equal to 90 degree.

<u>Obtuse angle--</u>

An angle is said to be obtuse if and only if the measure of the angle is strictly greater than 90 degree and strictly less than 180 degree.

<u>Congruent angles--</u>

Two angles are said to be congruent if and only if both the angles have the same measure.

Hence, the biconditional which is NOT a good definition is:

Option: d

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The tables represent two linear functions in a system,

Alenkasestr [34]

Answer:

Step-by-step explanation:

The slope-intercept form of an equation of a line:

$y=mx+b$

m - slope

b - y-intercept

The formula of a slope:

$m=\dfrac{y_2-y_1}{x_2-x_1}$

First table:

(-4, 26), (0, 10) → b = 10

$m=\dfrac{10-26}{0-(-4)}=\dfrac{-16}{4}=-4$

$\boxed{y=-4x+10}$

Second table:

(-4, 14), (0, 2) → b = 2

$m=\dfrac{2-14}{0-(-4)}=\dfrac{-12}{4}=-3$

$\boxed{y=-3x+2}$

We have the system of equations:

$\left\{\begin{array}{ccc}y=-4x+10&(1)\\y=-3x+2&(2)\end{array}\right\\\\\text{Put (1) to (2):}\\\\-4x+10=-3x+2\qquad\text{subtract 10 from both sides}\\-4x=-3x-8\qquad\text{add 3x to both sides}\\-x=-8\qquad\text{change the signs}\\x=8\\\\\text{Put the value of x to (2):}\\\\y=-3(8)+2\\y=-24+2\\y=-22$

5 0

2 years ago

I need help please help me answer this it’s due in like 15 minutes

Svetach [21]

Answer:

If 8 Treasure Chests per 4 Hours so

12 Treasure Chests for 6 Hours

10 treasure Chests for 5 Hours

Step-by-step explanation:

If 8 Chests every 4 Hours, then 2 Chests is every 1 hour. Count up each hour, add 2 chests.

4 0

2 years ago

Brent is making a playlist for an upcoming trip. The average length of a song is 3.53 minutes If the flight is about 120 minutes

vlada-n [284]

Answer:

34 songs

Step-by-step explanation:

120min/3.53 = 33.99

5 0

3 years ago

Read 2 more answers

A coffeepot contains 1 1/2 quqarts of coffee. After Tonya pours an equal amount of coffee into two cups, 3 1/2 cups of coffee st

saw5 [17]

$\bf 1\frac{1}{2}\implies \cfrac{1\cdot 2+1}{2}\implies \cfrac{3}{2}\quad \textit{now, how much is a quart of that?}
\\\\\\
\cfrac{3}{2}\cdot \cfrac{1}{4}\implies \stackrel{of~coffee}{\cfrac{3}{8}}\impliedby makes\quad \stackrel{poured}{2cups}+\stackrel{remaining}{3\frac{1}{2}cups}\implies 5\frac{1}{2}~cups$

$\bf \textit{now if }\frac{3}{8}\textit{ of coffee makes }5\frac{1}{2}\textit{ cups, how much in 1 cup?}
\\\\\\
\cfrac{\quad \frac{3}{8}\quad }{5\frac{1}{2}}\implies \cfrac{\quad \frac{3}{8}\quad }{\frac{5\cdot 2+1}{2}}\implies \cfrac{\quad \frac{3}{8}\quad }{\frac{11}{2}}\implies \cfrac{3}{8}\cdot \cfrac{2}{11}\implies \stackrel{\textit{of coffee makes one cup}}{\cfrac{3}{44}}$

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3 years ago

A mosquito is walking at random on the nonnegative number line. She starts at $1$. When she is at $0$, she always takes a step $

nikitadnepr [17]

Answer:

The expected number of times is 4.

Step-by-step explanation:

Looking at the question, we see that this follows a geometric distribution because it is asking for the expected number of trials hat will bring about the FIRST SUCCESS. The probability of success is

$\frac{1}{4}$

Since it is a geometric distribution, we know that the expected value of a random variable X, E(X) that follows a geometric distribution is given as:

E(X) = 1/p where p is the probability of success.

Therefore, the expected number of times will be

E(X) = 1/(1/p) = 1/(1/4) = 4.

Hence, the expected number of times is 4.

4 0

2 years ago