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3 years ago

Which Lines Are Parallel if M<4 = m<5? Justify Your Answer.

Mathematics

2 answers:

Taya2010 [7]3 years ago

6 0

Answer:

The other person is correct!

Step-by-step explanation:

( I wanted to give them credit because if I put close to what they put I would be reported for Plagiarism so I Just wanted to say they are correct!) :)

Keith_Richards [23]3 years ago

5 0

Answer:

Opposite angles formed by two intersecting lines are equal, so angle 1 is the same as angle 4. That means angle 1 = angle 5 as well.

When a line intersects two parallel lines, the corresponding angles are equal. That is, if r and s are parallel, then the angles formed when l intersects r are the same s the angles formed when l intersects s. Angle 1 = Angle 5, Angle 2 = Angle 6, and so forth. Since we know angle 1 = angle 5, we can conclude that r and s are parallel.

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podryga [215]

Answer:

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Step-by-step explanation:

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2 years ago

What is an equation of the line that passes through the points (0, -7) and (-8, 3)?

avanturin [10]

Answer <u>(assuming it can be in slope-intercept form)</u>:

$y = -\frac{5}{4} x-7$

Step-by-step explanation:

1) First, find the slope of the line by using the slope formula, $m = \frac{y_2-y_1}{x_2-x_1}$ . Substitute the x and y values of the given points into the formula and solve:

$m = \frac{(3)-(-7)}{(-8)-(0)}\\m = \frac{3+7}{-8-0} \\m = \frac{10}{-8} \\m = -\frac{5}{4}$

So, the slope is $-\frac{5}{4}$ .

2) Now, use the point-slope formula $y-y_1 = m (x-x_1)$ to write the equation of the line in point-slope form. Substitute real values for the $m$ , $x_1$ , and $y_1$ in the formula.

Since $m$ represents the slope, substitute $-\frac{5}{4}$ in its place. Since $x_1$ and $y_1$ represent the x and y values of one point the line intersects, choose any one of the given points (either one is fine, it will equal the same thing at the end) and substitute its x and y values into the formula as well. (I chose (0, -7), as seen below.) Then, isolate y to put the equation in slope-intercept form and find the following answer:

$y-(-7) = -\frac{5}{4} (x-(0))\\y + 7 = -\frac{5}{4} x\\y = -\frac{5}{4} x-7$

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2 years ago

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3 years ago

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2 years ago

M∠ABC=138° and m∠DEF=31° . Which statement is true about ∠ABC and ∠DEF ?

Aleksandr-060686 [28]

<span>A. The angles are neither complementary nor supplementary.

As their sum is neither equal to 90 nor 180, they are none of them

Hope this helps!</span>

5 0

2 years ago

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