The sum of the lengths of any two sides is greater than the third side, then the given sides will form a triangle. Apply the theorem statement for the given numbers 10, 7 and 13. Do these numbers form a triangle? Explain

Yes, These numbers 10, 7, and 13 can form a triangle

Step-by-step explanation:

Let us use this theorem to solve the question

∵ The numbers are 10, 7, 13

∵ 10 + 7 = 17

∵ 17 > 13

∴ The sum of 10 and 7 is greater than the 3rd number 13

∵ 10 + 13 = 23

∵ 23 > 7

∴ The sum of 10 and 13 is greater than the 3rd number 7

∵ 7 + 13 = 20

∵ 20 > 10

∴ The sum of 7 and 13 is greater than the 3rd number 10

∵ The sum of every two numbers is greater than the 3rd number

→ By using the theorem above

∴ The numbers 10, 7, and 13 can form a triangle

b. y = 4x - 2

step-by-step explanation:

to find a parallel equation to an equation, make sure both equations have the same slope but different y-intercepts.

y = 4x + 1

4 = slope

1 = y-intercept

y = 4x - 2

4 = slope

-2 = y-intercept

they both have the same slope but different y-intercepts, so, b. is the correct answer.

and to check your work, you can graph both equations. : )