Jason owns two square plot of land that have the same dimensions. he subdivides one into 10 equal parcels

Jason owns two square plot of land that have the same dimensions. he subdivides one into 10 equal parcels and the other into 11 equal parcels. for the same price you can buy either 3 of the 10 parcels or 4 of the 11 parcels. do the two parcels yield the same amount of land? can anyone show me how to do this step by step?

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  1. Given: In triangle ABC and triangle DBE where DE is parallel to AC.

    In ΔABC and ΔDBE

    [tex]DE || AC[/tex]   [Given]

    As we know, a line that cuts across two or more parallel lines.  In the given figure, the line AB is a transversal.

    Line segment  AB is transversal that intersects two parallel lines.  [Conclusion from statement 1.]

    Corresponding angles theorem: two parallel lines are cut by a transversal, then the  corresponding angles are congruent.

    then;

    [tex]\angle BDE \cong \angle BAC[/tex]  and

    [tex]\angle BEC \cong \angle BCA[/tex]

    Reflexive property of equality states that if angles in geometric figures can be congruent to themselves.

    by Reflexive property of equality:

    [tex]\angle B \cong \angle B[/tex]  

    By AAA (Angle Angle Angle) similarity postulates states that all three pairs of corresponding angles are the same then, the triangles are similar

    therefore, by AAA similarity postulates theorem

    [tex]\triangle ABC \sim \triangle DBE[/tex]

    Similar triangles are triangles with equal corresponding angles and proportionate side.

    then, we have;

    [tex]\frac{BD}{BA}[/tex]                  [By definition of similar triangles]

    therefore, the missing statement and the reasons are

    Statement                                                                   Reason

    3.[tex]\angle BDE \cong \angle BAC[/tex]      Corresponding angles theorem

    and  [tex]\angle BEC \cong \angle BCA[/tex]        

    5. [tex]\triangle ABC \sim \triangle DBE[/tex]   AAA similarity postulates    

    6. BD over BA                                                    Definition of similar triangle

  2. (You go from left to right)
    (Dividend is 931, divisor is 7)
    Step 1: Look for a number smaller than 9 that is divisible by 7. 7 is the only one which is smaller than 9 and is divisible by 7. Now that you know 7*1=7, you put 1 above 931 (Dividend)
     Step 2: You subtract that number from the number in tens place. And bring the leftover down.
    Step 3: You repeat Step 1 and 2 until either you get a remainder of 0 or the remainder in smaller than the divisor (in this case 7)
    (Therefore 931/7=133, quotient=133, remainder=0)
    ^Hope this helps.
    [tex]Can anyone show me how to divide 931/7[/tex]

  3. It is like normal division so just take out the decimal and divide your numbers, then once your done put your decimal back in, you need to put your decimal where it was on the number you were dividing with, if you dont understand you can post the problem and i can solve it!

  4. (You go from left to right)
    (Dividend is 931, divisor is 7)
    Step 1: Look for a number smaller than 9 that is divisible by 7. 7 is the only one which is smaller than 9 and is divisible by 7. Now that you know 7*1=7, you put 1 above 931 (Dividend)
     Step 2: You subtract that number from the number in tens place. And bring the leftover down.
    Step 3: You repeat Step 1 and 2 until either you get a remainder of 0 or the remainder in smaller than the divisor (in this case 7)
    (Therefore 931/7=133, quotient=133, remainder=0)
    ^Hope this helps.
    [tex]Can anyone show me how to divide 931/7[/tex]

  5.   2.54166...

    Step-by-step explanation:

    Long division is taught a number of different ways. The method I learned is shown in the attachment. You can see that the dividend repeats, so the quotient digits will be repeating 6s.

    You find a quotient digit (often, by trial and error), then subtract the result of multiplying that by the divisor. This gives a new dividend and the process starts over. Line up the digits so everything keeps the appropriate place value. (Neatness counts.)

    [tex]Hi there! So I have some homework that's asking me what 15.25 divided by 6 is. (I'm horrible at divi[/tex]

  6. No, they do not yield the same amount of land.

    If you divide a number by 10, you get a larger result than if you divide it by 11. So let's say the area of the two squares is 110:

    110/10 = 11 for each parcel

    110/11 = 10 for each parcel

  7. Here are the Statements and the Reason

    3. <BDE congruent to <DAC    3. By corresponding angles
    5. ΔABC is similar with ΔBDE    5. By AA proportionality
    6. BD over BA is equal to BE over BC 6. Conclusion from 5

  8. 25-4^2/8=
    4^2= 16
    16/8= 2
    25-2=23

    The answer to the first question is 23.

    12*5-8/4+7*2=
    12*5= 60
    8/4= 2
    7*2= 14
    60-2+14= 72

    The answer to the second question is 72.

    Number one is 23.
    Number two is 72.

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