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Semenov [28]
3 years ago
9

Can you please help me with Questions #18-22 on this Math Worksheet

Mathematics
1 answer:
CaHeK987 [17]3 years ago
3 0

21. 4x+4y
22. 16 girls
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PLEASE HELP ME!!! Find m (angle) LMN
bagirrra123 [75]

Answer:

108°

Step-by-step explanation:

hii!

lmn would be equal to 85 plus 23.

this is because those angles both make up the big angle lmn, so the answer is 108 degrees.

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10, 12, 13, 20

Step-by-step explanation:

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2 years ago
If point P(2,-4) is reflected over the x-axis, determine the coordinates of the image.
timofeeve [1]
The coordinates would be (2,4)
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3 years ago
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13. The least common multiple of two non-zero integers a and b is the unique positive integer m such that (i) m is a common mult
Vlad [161]

Answer:

[a,b] divides n

Step-by-step explanation:

Let us denote the least common multiple of a and b [a,b]=m.

We want to prove that m divides n, where n is a multiple of a and b.

We suppose m does not divide n, then by the Division Theorem, there exists q and r integers such that:

(1) ... n=mq+r, where 0<r<m

As n is a multiple of a and b, there exists s and t integers such that:

sa=n and tb=n

Same thing happens to m as it is the least common multiple, there exists u and v such that:

ua=m and vb=m

So (1) has the following form:

n=mq+r ⇒ sa=uaq+r ⇒sa-uaq=r⇒(s-uq)a=r and

n=mq+r ⇒ tb=vbq+r ⇒ tb-vbq=r⇒ (t-vq)b=r

So r is a multiple of a and b, but r<m which is a contradiction as, m is the least common multiple of a and b. So this concludes the proof.

So this means that \frac{ab}{m} is and integer.

As m= vb, then \frac{m}{b} is an integer, lets say \frac{m}{b}=v; and as m=ua, then \frac{m}{a}=u.

So \frac{ab}{m}v=\frac{ab}{m}\frac{m}{b}=a, so \frac{ab}{m} divides a; on the other hand, \frac{ab}{m}u=\frac{ab}{m}\frac{m}{a}=b, so \frac{ab}{m} divides b. From this we can conclude that \frac{ab}{m} is a common divisor of a and b.

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3 years ago
Need help help for 30 points
S_A_V [24]
100 times 17 bc u have to count the shdded parts
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