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3 years ago

Determine if the statement below is always true, sometimes true, or never true. When x is a

Mathematics

1 answer:

andrew11 [14]3 years ago

7 0

Answer:

Sometimes

Step-by-step explanation:

When x is a nonzero integer, then x can be

negative;
positive.

If x is negative, then $-3x$ is positive (multiplying negative number by -3 you get positive number).

If x is positive, then $-3x$ is negative (multiplying positive number by -3 you get negative number).

So, the statement "When x is a nonzero integer, the quantity -3x will be negative" is sometimes true.

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One of the same-side exterior angles formed by two lines and a transversal is equal to 1/6 of the right angle and is 11 times sm

sergey [27]

One of the same-side exterior angles formed by two lines and a transversal is equal to 1/6 of the right angle and is 11 times smaller than the other angle. Then the lines are parallel

<h3><u>Solution:</u></h3>

Given that, One of the same-side exterior angles formed by two lines and a transversal is equal to 1/6 of the right angle and is 11 times smaller than the other angle.

We have to prove that the lines are parallel.

If they are parallel, sum of the described angles should be equal to 180 as they are same side exterior angles.

Now, the 1st angle will be 1/6 of right angle is given as:

$\begin{array}{l}{\rightarrow 1^{\text {st }} \text { angle }=\frac{1}{6} \times 90} \\\\ {\rightarrow 1^{\text {st }} \text { angle }=15 \text { degrees }}\end{array}$

And now, 15 degrees is 11 times smaller than the other

Then other angle = 11 times of 15 degrees

$\text {Other angle }=11 \times 15=165 \text { degrees }$

Now, sum of angles = 15 + 165 = 180 degrees.

As we expected their sum is 180 degrees. So the lines are parallel.

Hence, the given lines are parallel

5 0

4 years ago

Figure ABCD is rotated by 180 degrees about the origin in the counterclockwise direction to obtain figure A′B′C′D′:

Gemiola [76]

Answer:

Length of AB = Length of C′D′

Length of CD = Length of B′C′

Step-by-step explanation:

Not sure but I think

8 0

3 years ago

Read 2 more answers

The electric-vehicle manufacturing company Tesla estimates that a driver who commutes miles per day in a Model S will require a

saul85 [17]

Answer:

Following are the solution to the given points:

Step-by-step explanation:

Please find the complete question in the attached file.

In this question, we assume that "x" denotes as an actual time of the battery charging, that is a uniform random variable that $x \sim U(90, 120)$

In point a:

so, pdf of x =

$\to f(x)= \frac{1}{120-90} = \frac{1}{30} \\\\\to 90 < x$

In point b:

To find

$\to P(x$

In point c:

$\to P(x$

In point d:

$\to P(95< x< 110)$

$= \int^{110}_{95} \frac{1}{30} \ dx\\\\= \frac{110-95}{30} \\\\= \frac{15}{30} \\\\= \frac{1}{2}$

6 0

3 years ago

If Tim’s garden and Abbie’s garden each have 35 daisies. How many more sunflowers are in Tim’s garden than in Abbie’s garden?

olga55 [171]

Answer:

ummmmmmmmmmmmmm zero??

5 0

3 years ago

This jar has 1 red, 74 yellow, and 25 green gumballs. What are the chances of picking a green gumball? the red one?

kari74 [83]

Answer: green = 25/100, red = 1/100

Step-by-step explanation: add ALL of the gumballs, there's your denominator, now you have 0/100 (1+74+25), count the amount of marbles you want to get the probability of, lets say green, there's your numerator (25) = 25/100

5 0

3 years ago