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3 years ago

When are two distinct nonvertical lines parallel?

Mathematics

1 answer:

Vlada [557]3 years ago

4 0

Answer:

a) when the slopes are equal

Step-by-step explanation:

The slopes of lines can be used to define the nature of lines.

Two parallel lines have equal slopes and the product of slopes of perpendicular lines is -1.

Hence, we can conclude that two distinct non-vertical lines parallel when

a) when the slopes are equal ..

So, option a is correct ..

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Solve the slope…. pls

Zielflug [23.3K]

Answer:

slope = 5/7

Step-by-step explanation:

Given the x-intercept: (-7, 0) and the y-intecept: (0, 5):

We can use the slope formula:

$m = \frac{y2 - y1}{x2 - x1}$

Let (x1, y1) = (-7, 0)

(x2, y2) = (0, 5)

Plug these values into the slope formula:

$m = \frac{y2 - y1}{x2 - x1} = \frac{5 - 0}{0 - (-7)} = \frac{5}{7}$

Therefore, the slope is 5/7

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2 years ago

Are two regular hexagons always congruent?

vitfil [10]

Answer:

Polygons - Hexagons. So, the sum of the interior angles of a hexagon is 720 degrees. All sides are the same length (congruent) and all interior angles are the same size (congruent).

Step-by-step explanation:

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3 years ago

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2 years ago

Read 2 more answers

A study is conducted to determine if a newly designed text book is more helpful to learning the material than the old edition. T

Oksanka [162]

Answer:

The null and alternative hypotheses are:

$H_{0}:\mu=75$

$H_{a} : \mu>75$

Under the null hypothesis, the test statistic is:

$t=\frac{\bar{x}-\mu}{\frac{s}{\sqrt{n}} }$

Where:

$\bar{x} =83$ is the sample mean

$s=9.8206$ is the sample standard deviation

$n=10$ is the sample size

$\therefore t= \frac{83-75}{\frac{9.8206}{\sqrt{10}} }$

$=2.58$

Now, we can find the right tailed t critical value at 0.01 significance level for df = n-1 = 10 - 1 = 9 using the t distribution table. The t critical value is given below:

$t_{critical} =2.821$

Since the test statistic is less than the t critical value, we therefore, fail to reject the null hypothesis and conclude that there is not sufficient evidence to support the claim that the people do better with the new edition.

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2 years ago