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suter [353]
3 years ago
14

What is the Least Common Multiple of 12 and 9

Mathematics
1 answer:
weeeeeb [17]3 years ago
8 0

Answer:

least common multiple (LCM) of 9 and12 is 36

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Given: m∠A = m∠C = 90° AB ║ DC Prove: ∆ABD ≅ ∆CBD
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Answer:

Angle-Angle-Side (AAS)

Step-by-step explanation:

Given triangles; ΔABD and ΔCBD

  <A = <C = 90^{0} (right angle property)

   AB ║ DC (given)

Then,

    DA ║ CB

   <B ≅ <D (congruent property)

    DB ≅ BD (similarity property)

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Therefore by Angle-Angle-Side (AAS),

                 ∆ABD ≅ ∆CBD

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at a party at the middle school over on third avenue next to the bank, $60\%$ of the students are seventh graders. these student
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There are 600 students including the seventh and eighth graders at the party.

This problem uses the concept of percentages to define the conditions that are laid in front of us.

Let the original  number of students be S , and the number of seventh graders be   = 0.60S

We know that percent is used to convey the mathematical term of a fraction multiplied by 100.

Total students  after 20 eighth graders arrive = S + 20

And we have that

Number of seventh graders / total number of students  =  58%

.60S  / [ S + 20 ]  =   .58    we multiply both sides by  S +  20

0.60S  =0 .58 [ S + 20]

.60S  = .58S + 11.6   we subtract  0.58S from  both the sides

0.02S = 11.6  we divide both the sides  by .02

S  = 11/6 / 0.02 =    580

So the total number of students = 580 + 20  = 600 .

Hence there are 600 students at the party at that time.

To learn more about students visit:

brainly.com/question/17332524

#SPJ1

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