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nirvana33 [79]
4 years ago
15

Lisa is writing a coordinate proof to show that the diagonals of a square are perpendicular to each other. she starts by assigni

ng coordinates as given. a square is graphed on a coordinate plane. the horizontal x-axis and y-axis is solid and grid is hidden. the vertices are labeled as k, g, h and j. the vertex labeled as k lies on begin ordered pair 0 comma 0 end ordered pair. the vertex labeled as g lies on begin ordered pair 0 comma a end ordered pair. the vertex labeled as j lies on begin ordered pair a comma 0 end ordered pair. one vertex is unlabeled. diagonal k h and g j are drawn. drag and drop the correct answers to complete the proof. since ghjk is a square, the coordinates of h are (a, ). the slope of kh¯¯¯¯¯¯ is . the slope of is −1 . the product of the slopes of the diagonals is . therefore, kh¯¯¯¯¯¯ is perpendicular to gj¯¯¯¯¯ . 10−1agj¯¯¯¯¯gk¯¯¯¯¯¯

Mathematics
2 answers:
gavmur [86]4 years ago
6 0

Answer:

Just took the test and got the correct answer. :)))

Step-by-step explanation:

Look at the image down below!

kondaur [170]4 years ago
4 0
Your a cheater, k12 will expel cheaters..... jk lol but the answers are

Since GHJK is a square, the coordinates of H are (a, a).
The slope of KH¯¯¯¯¯¯ is 1.
The slope of GJ¯¯¯¯¯ is −1 .
The product of the slopes of the diagonals is −1.
The product of the slopes of the diagonals is −1.

Good luck, and really study, because the finals test will be difficult, and use the geometry reference guide.... It covers the fundamentals
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Boldface publishing company reported a loss of $17,225 in march. In April, the company showed a profit of $32,500. How much more
Dmitrij [34]

Answer:

Boldface publishing company had $49,725 more in April than March

Step-by-step explanation:

Step 1

Express the total amount of money Boldface had in March as shown;

Let the initial amount of money he had be;

initial=x

loss=$17,225

Net amount=initial amount-loss

Net amount in March=x-17,225

Step 2

Express the total amount of money Boldface had in April as shown;

Let the initial amount of money he had be;

initial=x

profit=$32,500

Net amount=initial amount+profit

Net amount in April=x+32,500

Step 3

To calculate how much more Boldface make in April than March;

Net amount in April-net amount in March

where;

net amount in April=x+32,500

net amount in March=x-17,225

replacing;

(x+32,500)-(x-17,225)

x+32,500-x+17,225

x-x+32,500+17,225=49,725

Boldface publishing company had $49,725 more in April than March

5 0
3 years ago
Parallel Lines Cut by a Transversal: Maze
CaHeK987 [17]

Start from Start Here square, the pointer to the next question to resolve is given by the solution to the equation in the current square

The values of the Maze are as follows;

  1. x = 10
  2. x = 8
  3. x = -9
  4. x = 5
  5. x = 11
  6. x = 3
  7. x = -5
  8. x = 9
  9. x = 7
  10. x = -7

Reason:

The solutions are;

10·x + 15 = 12·x - 5  by alternate interior angles theorem

  • ∴ x = 10

6·x + 6 = 5·x + 14 by alternate exterior angles theorem

  • ∴ x = 8

x + 109 = 100 by corresponding angles theorem

  • ∴ x = -9

11·x + 5 + 120° = 180° by same side interior angles theorem

  • ∴ x = 5

11·x - 1 = 10·x + 10 by corresponding angles theorem

  • ∴ x = 11

35·x + 5 = 110 by corresponding angles theorem

  • ∴ x = 3

x + 85 + x + 105 = 180 by same side interior angles theorem

  • ∴ x = -5

7·x - 3 + 12·x + 12 = 180° by same side interior angles theorem

  • ∴ x = 9

19·x - 3 = 130 by alternate interior angles theorem

  • ∴ x = 7

x + 67 = 60 by alternate interior angles theorem

  • x = -7

Learn more here:

brainly.com/question/10623667

brainly.com/question/11708384

7 0
3 years ago
A store has a $489.99 item on sale for 50% off. What is the discount on this item?
kondaur [170]
50% is 1/2 so 2 divided into $489.99 equals $244.995 or $244.99. Hope this helps!
3 0
4 years ago
Read 2 more answers
5) Find the equation of a line in slope-intercept form through the point
Vinvika [58]

Answer:

y = -x + 4

perp: m = 1

y + 4 = x - 3

y = x - 7

Step-by-step explanation:

8 0
3 years ago
At Pizza Pi, 40% of the pizzas made last week had extra cheese. If 8 pizzas had extra cheese, how many pizzas in all were made l
Natalija [7]

Answer:

20 pizzas.

Step-by-step explanation:

40% = 8

1% = 8 ÷ 40 = 0.2

100% = 0.2 x 100 = 20

3 0
3 years ago
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