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

answer:   x = 3 + √11     and     x = 3 - √11

step-by-step explanation:

x² - 6x + 9 = 11

(x - 3)² = 11

x - 3 = ±√11

    x = 3 ± √11

x = 3 + √11     and     x = 3 - √11

answer: c.  

step-by-step explanation:

mixtures containing substances that get attracted to magnet can be separated using a magnet. we can separate iron from a mixture of sand and iron, as only iron attracts to the magnet.