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DaniilM [7]
2 years ago
11

Given parallel lines, which pair of angles are congruent?

Mathematics
1 answer:
Talja [164]2 years ago
4 0

transversal angles

Step-by-step explanation:

When two or more lines are cut by a transversal, the angles which occupy the same relative position are called corresponding angles . When the lines are parallel, the corresponding angles are congruent .

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Solve(x+y)^2=(x^2-2xy+y^2) and show your work
Shtirlitz [24]

(x + y)^2 = (x^2 - 2xy + y^2)

First distribute the ^2 on the left side of the equation to each term inside the parenthesis:

x^2+ 2xy + y^2

Now pick one of the variables to solve for and isolate it:

(solving for x)

x^2 + 2xy + y^2 = x^2 - 2xy + y^2

x^2+ 2xy = x^2 - 2xy

2xy = -2xy

-x = x

x = 0

When you solve for y in the equation it will turn out to be 0 as well

7 0
3 years ago
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Is x+y+1=0 a tangent of both y^2=4x and x^2=4y parabolas?
Lubov Fominskaja [6]

Answer:

  yes

Step-by-step explanation:

The line intersects each parabola in one point, so is tangent to both.

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For the first parabola, the point of intersection is ...

  y^2 = 4(-y-1)

  y^2 +4y +4 = 0

  (y+2)^2 = 0

  y = -2 . . . . . . . . one solution only

  x = -(-2)-1 = 1

The point of intersection is (1, -2).

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For the second parabola, the equation is the same, but with x and y interchanged:

  x^2 = 4(-x-1)

  (x +2)^2 = 0

  x = -2, y = 1 . . . . . one point of intersection only

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If the line is not parallel to the axis of symmetry, it is tangent if there is only one point of intersection. Here the line x+y+1=0 is tangent to both y^2=4x and x^2=4y.

_____

Another way to consider this is to look at the two parabolas as mirror images of each other across the line y=x. The given line is perpendicular to that line of reflection, so if it is tangent to one parabola, it is tangent to both.

7 0
3 years ago
Solve for h.<br>3/7 = h/14 - 2/7​
AleksAgata [21]

Answer:

10

Step-by-step explanation:

Multiplying both sides by 14

2*3=h-(2*2)

6=h-4

h=6+4

h=10

3 0
3 years ago
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A rectangle is twice as long as it is wide. Its width is 5 1/2 cm. Find the perimeter of the rectangle.
kolezko [41]
5.5 × 2= 11

11 is the length.

perimeter= 11+11+5.5+5.5

The perimeter is 33 units.
5 0
3 years ago
The apple pie baked from 8:25 P.M. until 8:55 P.M. How much time did it take the pie to bake?
maw [93]

Answer:

30 minutes.

Step-by-step explanation:

8:55 - 8:25 is 30 minutes.

If you add 30 to 8:25, you would get 8:55.

Therefore, it's 30 minutes.

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3 years ago
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