Wangari plants trees at a constant rate of 121212 trees every 333 hours.Write an equation that relates ppp, the number of trees Wangari

Wangari plants trees at a constant rate of 121212 trees every 333 hours. Write an equation that relates ppp, the number of trees Wangari plants, and hhh, the time she spends planting them in hours.

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  1. the correct option is 2.

    step-by-step explanation:

    according to the given information triangle abc is a right angle triangle with right angle at a. segment ab is 5 and segment ac is 7. point d is on segment bc and angles adb and adc are right angles.

    it is given that triangles abd, cad, and cba are similar.

    two triangles are similar if their corresponding sides are proportional.

    in triangle cba, using pythagoras theorem

    [tex]ab^2+ac^2=bc^2[/tex]

    [tex]ab^2+ac^2=x^2[/tex]                       )

    triangle abd and cba are similar,

    [tex]\frac{ab}{bc}=\frac{bd}{ab}[/tex]

    [tex]ab^2=bc\cdot bd[/tex]

    [tex]25=bc\cdot bd[/tex]                             (2)

    triangle cad and cba are similar,

    [tex]\frac{ac}{bc}=\frac{cd}{ac}[/tex]

    [tex]ac^2=bc\cdot dc[/tex]

    [tex]7\times 7=bc\cdot dc[/tex]

    [tex]49=bc\cdot dc[/tex]                       )

    using (1), (2) and (3), we get

    [tex]25+49=x^2[/tex]

    [tex]74=x^2[/tex]

    hence proved.

    therefore option 2 is correct.

  2. option a, c,d are correct.

    step-by-step explanation:

    from the given figure, it is given that z is equidistant from the sides of the triangle rst, then from triangle tzb and triangle szb, we have

    tz=sz(given)

    bz=zb(common)

    therefore, by rhs rule,δtzb ≅δszb

    by cpctc, sz≅tz

    also, from δctz and δasz,

    tz=sz(given)

    ∠tcz=∠saz(90°)

    by rhs rule, δctz ≅ δasz, therefore by cpctc, ∠ctz≅∠asz

    also,from δasz and δzsb,

    zs=sz(common)

    ∠zbs=∠saz=90°

    by rhs rule, δasz ≅δzsb, therefore, by cpctc, ∠asz≅∠zsb

    hence, option a, c,d are correct.

    [tex]Point z is equidistant from the sides of δrst. which must be true? ctzaszaszzsb[/tex]

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