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3 years ago

Transversal t intersects lines a, b, c. Which lines are parallel. Prove your answer.

Mathematics

1 answer:

anzhelika [568]3 years ago

5 0

Answer:

A is parallel to c

A is not parallel to b

B is not parallel to c

Step-by-step explanation:

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On a coordinate plane, 2 lines are shown. Line P Q has points (negative 5, 3) and (5, 1). Line R S has points (negative 4, negat

Romashka-Z-Leto [24]

Given:

Line P Q has points (-5, 3) and (5, 1).

Line R S has points (-4, -2) and (0, -4).

To find:

The relationship between lines PQ and RS.

Solution:

If a line passing through two points, then the slope of line is

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

Line P Q has points (-5, 3) and (5, 1). So, slope of line PQ is

$m_1=\dfrac{1-3}{5-(-5)}$

$m_1=\dfrac{-2}{5+5}$

$m_1=\dfrac{-2}{10}$

$m_1=\dfrac{-1}{5}$

Line R S has points (-4, -2) and (0, -4). So, slope of line RS is

$m_2=\dfrac{-4-(-2)}{0-(-4)}$

$m_2=\dfrac{-4+2}{0+4}$

$m_2=\dfrac{-2}{4}$

$m_2=\dfrac{-1}{2}$

Slopes of two parallel lines are equal.

$m_1\neq m_2$

They are not parallel because their slopes are not equal.

Therefore, the correct option is C.

3 0

3 years ago

Read 2 more answers

81p² + 5 = 41 <br>how do I solve by square roots<br><br>

ycow [4]

Answer:

p = ± $\frac{2}{3}$

Step-by-step explanation:

Given

81p² + 5 = 41 ( subtract 5 from both sides )

81p² = 36 ( divide both sides by 81 )

p² = $\frac{36}{81}$ ( take the square root of both sides )

p = ± $\sqrt{\frac{36}{81} }$

= ± $\frac{\sqrt{36} }{\sqrt{81} }$ = ± $\frac{6}{9}$ = ± $\frac{2}{3}$

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3 years ago

Evaluate (-4 + -3) – (2 – 7)

Tanya [424]

Answer: -2

Step-by-step explanation:

(-4+-3) -(2-7)

-7 - -5

-7+5= -2

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3 years ago

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List all factors of 36

fiasKO [112]

The factors of 36 are the following: 1, 2, 3, 4, 6, 9, 12, 18, and of course, 36 :)

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3 years ago

Billy had some $2 and $10 notes. The total value of the notes was $864. She exchanged 5 $10 notes into $2 notes. The number of $

Sergio039 [100]

Answer:

Step-by-step explanation:

because 10 x 5 +50 and when u subtract that from 864 there 814 left and 800 can be divided by 10. Therefore 14/ 2 =7 idk if this is right tho

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3 years ago