Please help me with this question it contains angles and measurements

Please help me with this question it contains angles and measurements


[tex]Please help me with this question it contains angles and measurements[/tex]

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  1.   transitive property

    Step-by-step explanation:

    The transitive property tells you that ...

      ∠A ≅ ∠B  and  ∠B ≅ ∠C

    means you can conclude ...

      ∠A ≅ ∠C . . . . transitive property of congruence

  2. m∠ONP = 43*

    m∠LNO = 137*

    m∠MNP = 137*

    Step-by-step explanation:

    Each line segment is a straight line meaning they are each worth 180°, so if you take 43° from 180° you're eft with 137° which is what ∠LNO and ∠MNP are equal to. ∠ONP is 43° since it is a vertical angle to ∠MNL which is also 43°.

  3. circumference divided by 3.141592654 then timesthe radius twice

    step-by-step explanation:

    circumference divided by 3.141592654 then timesthe radius twice

  4. Before the block stops moving a distance of 3.28 m

    Explanation:

    Given data:

    m = 25.7 kg

    μk = 0.545

    h = 1.79 m

    The kinetic energy at point B is equal:

    [tex]E_{kB} =mgh=25.7*9.8*1.79=450.83J[/tex]

    The velocity at point B is equal:

    [tex]v=\sqrt{2gh} =\sqrt{2*9.8*1.79} =5.92m/s[/tex]

    The friction force is equal:

    [tex]f_{k} =\mu _{k} mg=ma\\[/tex]

    Clearing a:

    [tex]a=\mu _{k} g=0.545*9.8=5.341m/s^{2}[/tex]

    The horizontal distance is:

    [tex]L=\frac{v^{2} }{2a} =\frac{5.92^{2} }{2*5.341} =3.28m[/tex]

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