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Yuliya22 [10]
3 years ago
11

Horizontal and parallel lines c and d are cut by transversal p. At the intersection of lines c and p, the uppercase left angle i

s angle 1 and the uppercase right angle is angle 2. At the intersection of lines d and p, the uppercase right angle is angle 3 and the bottom left angle is angle 4.
Which set of equations is enough information to prove that lines c and d are parallel lines cut by transversal p?

m∠1 = 81° and m∠2 = 99°
m∠3 = 99° and m∠4 = 99°
m∠2 = 99° and m∠4 = 99°
m∠4 = 81° and m∠1 = 81°
Mathematics
1 answer:
konstantin123 [22]3 years ago
5 0

Answer:

the answer is the option C

m∠2 = 99° and m∠4 = 99°

Step-by-step explanation:

edg 2020

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Three of the four vertices of a rectangle are located at (4, 2), (7, 2) and (4, 8). a. What are the coordinates of the missing v
34kurt

Answer:

a) The coordinates of the missing vertex = (7, 8)

b) Area = 18 square units

   Perimeter = 18 units

Step-by-step explanation:

a) We know three of the four vertices:

A: (4, 2)           C ______ D(?)

B: (7, 2)               |             |

C: (4, 8)           A |______| B  

To find the coordinates of the missing vertex we need to calculate the distance in the x-direction from point A to point B:

B_{x} - A_{x} = 7 - 4 = 3                    

Hence, the distance of point D from point C in the x-direction is:

D_{x} = C_{x} + 3 = 4 + 3 = 7

Now, to find the coordinate in "y" we need to calculate the distance in the y-direction between point C and point A:

C_{y} - A_{y} = 8 - 2 = 6  

Then, the distance of point D from point B in the y-direction is:

D_{y} = B_{y} + 6 = 2 + 6 = 8

Therefore, the coordinates of the missing vertex (point D) are:

D = (D_{x}, D_{y}) = (7, 8)    

b) The area of the rectangle is:

a = (B_{x} - A_{x})*(C_{y} - A_{y}) = 3*6 = 18 units^{2}

The perimeter is given by:

p = 2*(3 + 6) = 18 units

I hope it helps you!          

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2 years ago
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Step-by-step explanation:

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Using the point (1,3) to substitute into point-slope form,

y-3=2(x-1)\\\\y-3=2x-2\\\\\boxed{y-2x+1}

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