Rita baked pies at the corner bakery the number Of pies she can bake x is limited by the ingredients

Rita baked pies at the corner bakery the number Of pies she can bake x is limited by the ingredients they have in stock situation is represented by the compound inequality 2c-3<7 and 5-x<8 Solve the compound any quality inn select all the value solutions

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  1. 7 < x < 34

    Step-by-step explanation:

    The answer must be greater than 7, else the two sides are less than or equal to the third. That triangle is impossible. The answer must also be less than 34, because then the two other sides would equal the third, making an impossible triangle.

  2. 8 < x < 34

    Step-by-step explanation:

    ab = 13, ac = 21, bc = x

    The longest side of a triangle must be less than the sum of the other two sides.

    If 21 is the longest side:

    21 < 13 + x

    8 < x

    If x is the longest side:

    x < 13 + 21

    x < 34

    Therefore, 8 < x < 34.

  3. the sum of the lengths of any 2 sides of a triangle must be greater than the third side. one side is 17cm and second side is 1 cm less than twice the third side

  4. -3<x<5

    Step-by-step explanation:

    Given the inequality 2x-3<7 and 5-x<8

    Solve 2x-3<7

    Add 3 to both sides

    2x-3+3 < 7+3

    2x < 10

    2x/2 < 10/2

    x < 5

    Solve 5-x<8

    subtract 5 from both sides:

    5-x-5<8-5

    -x < 3

    multiply both sides  by -1

    -(-x) > -3

    x > -3

    -3<x

    Combine both solutions x < 5 and -3<x

    -3<x<5

    The solution to the compound inequality is -3<x<5

  5. There is only 1 solution for the length of BC.

    We can calculate it using Pythagorean theorem.

    We can conclude that triangle's hypotenuse is AC.

    [tex]AC^2=AB^2+BC^2[/tex]

    If that is the case we are looking for a side BC.

    [tex]BC=\sqrt{AC^2-AB^2}[/tex]

    Now put in the data.

    [tex]BC=\sqrt{21^2-13^2}=\sqrt{272}=\sqrt{272}\approx\boxed{16.49}[/tex]

    Hope this helps.

    r3t40

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