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anygoal [31]
3 years ago
6

To prove that two lines cut by a transversal are parallel, one must show that __________.

Mathematics
2 answers:
Snowcat [4.5K]3 years ago
6 0
I think you forgot to give the options along with the question. I am answering the question based on my knowledge and research. To prove that two lines cut by a transversal are parallel, one must show that <span>alternate interior angles are congruent, alternate exterior angles are congruent and corresponding angles are congruent. I hope the answer helped you.</span>
BlackZzzverrR [31]3 years ago
4 0

Answer with explanation:

It is given that two lines are cut by a transversal.To show that ,these two lines are parallel, we must prove

1. Corresponding Angles are equal.

2. Alternate Interior Angles are equal.

3.Sum of angles on the same side of transversal are equal.

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Directed line segment has endpoints P(– 8, – 4) and Q(4, 12). Determine the point that partitions the directed line segment in a
larisa86 [58]

Answer:

Point (1,8)  

Step-by-step explanation:

We will use segment formula to find the coordinates of point that will partition our line segment PQ in a ratio 3:1.

When a point divides any segment internally in the ratio m:n, the formula is:

[x=\frac{mx_2+nx_1}{m+n},y= \frac{my_2+ny_1}{m+n}]

Let us substitute coordinates of point P and Q as:

x_1=-8,

y_1=-4

x_2=4

y_2=12

m=3

n=1

[x=\frac{(3*4)+(1*-8)}{3+1},y=\frac{(3*12)+(1*-4)}{3+1}]

[x=\frac{12-8}{4},y=\frac{36-4}{4}]

[x=\frac{4}{4},y=\frac{32}{4}]

[x=1,y=8]

Therefore, point (1,8) will partition the directed line segment PQ in a ratio 3:1.

   

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2 years ago
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16.5

Step-by-step explanation:

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Answer:

30.48 cm

Step-by-step explanation:

There are ~ 2.54 centimeters in 1 inch. If the ruler is 12 inches long, multiply 2.54 cm by 12:

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