Explain how slope is used to determine if a triangle is a right triangle.

Answers

Answer 1
Answer:

A right triangle contains a right angle, so it must have two sides that are perpendicular. If the slopes of two sides can be shown to be negative reciprocals of each other, then it can be concluded that a right angle is formed. If a triangle contains a right angle, then it is a right triangle.

Answer 2
Answer: Do determine if a triangle is a right triangle using slopes, you have to understand perpendicular slopes/negative reciprocals. 

You can calculate the slope of all 3 sides of the triangle and if two of the slopes are negative reciprocals, then those two lines intersect creating a right angle/right triangle. 

Let's say there's triangle ABC. 

If the slope of AB is 1/2
and the slope of BC is 2/5
and the slope of CA is -2/1
then AB and CA intersect resulting in a right angle (triangle). 

Related Questions

What property is illustrated by each statement? 7+(4+4)=(7+4)+4A. Inverse property of addition B. Associative property of addition C. Commutative property of addition
HELPP PLEASEEEEEE!!!!!
Which of the following represents a random sample if the population being sampled is students participating in athletics at a local middle school?choosing ten students that also participate in a music class choosing ten students from a box that contains the names of the entire group choosing five students each from seventh and eighth grade choosing five female students and five male students
A rectangular piece of paper has a width that is 3 inches less than its length. It is cut in half along a diagonal to create two congruent right triangles with areas of 44 square inches. Which statements are true? Check all that apply.A.The area of the rectangle is 88 square inches. B.The equation x(x – 3) = 44 can be used to solve for the dimensions of the triangle. C.The equation x2 – 3x – 88 = 0 can be used to solve for the length of the rectangle. D.The triangle has a base of 11 inches and a height of 8 inches. The rectangle has a width of 4 inches.
How much sand would it take to fill a sandbox that is 15 feet long, 10 feet wide, and 2 feet high?

CAN SOMEONE PLEASE JUST ANSWER THIS ASAP FOR BRAINLIEST!!!

Answers


7x{y}^(2)

HEEEELLLLLPPP QUICKKK
28° + x-4°+2x=180°

Answers

Answer:

x = 52

Step-by-step explanation:

28 + x - 4 + 2x = 180

Simplify the left side

3x + 24 = 180

Subtract 24 from each side

3x = 156

Divide each side by 3

x = 52

The equation |p| = 2 represents the total number of points that can be earned or lost during one turn of a game. Which best describes how many points can be earned or lost during one turn?A. –2

B. 2

C. 0 or 2

D. –2 or 2

Answers

By basic definition, the absolute value of a number determines just how far that number is from 0 on the number line. Because of that, the absolute value can never be a negative number, because the positive or negative number will have the same distance.

In the case of |p| = 2, p can either be -2 or 2. Among the choices, the correct answer is D.

Answer:

–2 or 2

Step-by-step explanation:

answer in the picture

The area of a square is 320 square feet. Estimate the length of one side. Round your answer to the nearest whole number.

Answers

the area of a square is double the side itself. so to do this just square root 320, and you get 17.88854381999832, so to round it up it should be 18 ft

07.04 Equilibrium: Hands-On Equilibrium Demonstration Lab Part III follows a similar procedure as Part I and Part II, except you will be adding additional candies to the activity. Start with 40 candies on the reactant side of the paper. For each round, half of the candies that were on the reactant (R) side of the paper from the last round should be moved to the product side. One-fourth of the candies that were on the product (P) side of the paper from the last round should be moved to the reactant side. (If you end up with a decimal for the number to exchange, round up.) At the end of each round, count the number of candies on each side of the paper and keep track of the numbers in a data table. After five rounds, add 40 more candies to the reactant side of the paper. Continue following the instructions in Step 2 with this new amount of candy (total of 80 pieces of candy) for an additional 10 rounds. At the end of 15 total rounds, calculate the ratio (ratio = P/R) of products to reactants.

Answers

0-40,0 1-20,20 2-15,25 3-13,27 4-13,27 5-13,27 6-13,27 7-13,27 8-13,27 9-13,27 10-13,27

Answer:

Part 1

40   0

20  20

25  15

12  28

19  21

9  31

17  23

8  32

16  24

8  32

Part 2: (has to be done at a number of your choice)

Part 3:

40 0

20  20

25  15

12  28

19  21

9  31

49  31

34  56

48  42

24  66

41 49

10 70

28 52

14 66

31 35

47 19

Step-by-step explanation:

There's the actual ratios :) Hope this helps someone!

72. What is the prime factorization of 714?F. 2 • 357
G. 2 • 3 • 119
H. 2 • 7 • 51
J. 6 • 7 • 17
K. 2 • 3 • 7 • 17

Answers

Hello,
2*3*7*17=714
Answer K