Atriangle has two sides of lengths 4 and 15.what value could the length of the third side be? check all that apply.. a: 12 b: 13 c: 4 d: 15 e: 11 f: 19

If a, b and c are the lengths of the sides of a triangle then

if a ≤ b ≤ c, then a + b > c.

A: 4, 12, 15

4 + 12 = 16 > 15    CORRECT :)

B: 4, 13, 15

4 + 13 = 17 > 15   CORRECT :)

C: 4, 4, 15

4 + 4 = 8 < 15   INCORRECT :(

D: 4, 15, 15

4 + 15 = 19 > 15  CORRECT :)

E: 4, 11, 15

4 + 11 = 15   INCORRECT :(

F: 4, 15, 19

4 + 15 = 19  INCORRECT :(

d

step-by-step explanation:

i used the pitagoras theoreme

region b will make the inequalities y < 2x + 1 and y > -x - 2 true ⇒ answer a

step-by-step explanation:

* lets study the graph and the inequality to solve the question

- the inequality y > -x - 2

∵ the form of the inequality is y > mx + c , m is the slope of the line

  and c is the y-intercept (the line intersect y-axis at point (0 , c)

∴ c = -2 that means the line intersect the y-axis at point (0 , -2)

∵ the sign of the inequality is >

∴ we shad the part over the line

  region a and b

- the inequality y < 2x + 1

∵ the form of the inequality is y > mx + c , m is the slope of the line

  and c is the y-intercept (the line intersect y-axis at point (0 , c)

∴ c = 1 that means the line intersect the y-axis at point (0 , 1)

∵ the sign of the inequality is <

∴ we shad the part under the line

  region b and c

∵ the common region between the two lines is region b

∴ region b will make the inequalities y < 2x + 1 and y > -x - 2 true