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Bài 1: 

a) Xét ΔMNQ và ΔENQ có 

NM=NE(gt)

\(\widehat{MNQ}=\widehat{ENQ}\)

NQ chung

Do đó: ΔMNQ=ΔENQ(c-g-c)

Suy ra: QM=QE(hai cạnh tương ứng)

Bài 1: 

b) Ta có: ΔQMN=ΔQEN(cmt)

nên \(\widehat{QMN}=\widehat{QEN}\)(hai góc tương ứng)

mà \(\widehat{QMN}=90^0\)(gt)

nên \(\widehat{QEN}=90^0\)

1 He is told to take a long rest

2 This plant isn't watered everyday

3 Beer is drunk all over the world

4 Uniform is worn to school by students

5 Reports are sent to the manager by the secretary in the afternoon

6 How many languages are spoken in Canada?

Bài 2

1 I was brought this dish by the waiter

2 I wasn't showed the special cameras 

3 Her ticket was showed to her friends

4 The broken cup was hidden in the drawer by Tom

5 The fridge wasmoved into the living room by his uncle

a: Ta có: \(\widehat{ABC}=\widehat{ACB}\)(ΔABC cân tại A)

\(\widehat{ACB}=\widehat{ECN}\)(hai góc đối đỉnh)

Do đó: \(\widehat{ABC}=\widehat{ECN}\)

Xét ΔMBD vuông tại D và ΔNCE vuông tại E có

BD=CE

\(\widehat{MBD}=\widehat{NCE}\)

Do đó: ΔMBD=ΔNCE

=>DM=EN

b: Ta có: DM\(\perp\)BC

EN\(\perp\)BC

Do đó: DM//EN

Xét ΔIDM vuông tại D và ΔIEN vuông tại E có

MD=EN

\(\widehat{MDI}=\widehat{ENC}\)(hai góc so le trong, DM//EN)

Do đó: ΔIDM=ΔIEN

=>IM=IN

=>I là trung điểm của MN

38.

$\sqrt{2006}-\sqrt{2005}=\frac{2006-2005}{\sqrt{2006}+\sqrt{2005}}=\frac{1}{\sqrt{2006}+\sqrt{2005}}< \frac{1}{\sqrt{2005}+\sqrt{2004}}=\frac{2005-2004}{\sqrt{2005}+\sqrt{2004}}=\sqrt{2005}-\sqrt{2004}$

39.

$\sqrt{1998}+\sqrt{2000}-2\sqrt{1999}=(\sqrt{2000}-\sqrt{1999})-(\sqrt{1999}-\sqrt{1998})$

$=\frac{1}{\sqrt{2000}+\sqrt{1999}}-\frac{1}{\sqrt{1999}+\sqrt{1998}}$

$< 0$

$\Rightarrow \sqrt{1998}+\sqrt{2000}<2\sqrt{1999}$

Bài 40 bạn làm tương tự câu 38.

d: Ta có: \(12x^2+7x-12\)

\(=12x^2+16x-9x-12\)

\(=4x\left(3x+4\right)-3\left(3x+4\right)\)

\(=\left(3x+4\right)\left(4x-3\right)\)

e: Ta có: \(15x^2+7x-2\)

\(=15x^2+10x-3x-2\)

\(=\left(3x+2\right)\left(5x-1\right)\)

\(\left\{{}\begin{matrix}P+N+E=40\\P=E\\\left(P+E\right)-N=12\end{matrix}\right.\Leftrightarrow\left\{{}\begin{matrix}2P+N=40\\2P-N=12\end{matrix}\right.\\ \Leftrightarrow\left\{{}\begin{matrix}N=14\\P=E=Z=13\end{matrix}\right.\)

=> Điện tích hạt nhân: Z⁺= 13⁺

Sơ đồ cấu tạo nguyên tử X:

1............to work by car everyday

2 ........Khanh does morning exercise, he won't keep fit

3......has a small garden

4 .....has to go to school on time

5 ......she doesn't go to bed early, she will be late for class

6 .......go to the movie tonight

\(\text{⩷!⨙┏⇴⨗⨜}\)

Ex6

1 was

2 had been

3 found

4 had talked

5 had spoken

6 snowed

7 were

8 painted

9 had

10 had known

Ex7

2 had got

3 had hurt

4 were

5 were

6 was

7 wanted

8 ?

9 stopped

10 had eaten

\(d,\left(2x-1\right)\left(x+3\right)+2x\left(2-x\right)=10-8\left(x+4\right)\\ \Leftrightarrow2x^2+6x-x-3+4x-2x^2=10-8x-32\\ \Leftrightarrow17x=19\Leftrightarrow x=\dfrac{19}{17}\)

vậy phương trình đã cho có nhiệm \(x=\dfrac{19}{17}\)

Ta có: \(\left(2x-1\right)\left(x+3\right)+2x\left(2-x\right)=10-8\left(x+4\right)\)

\(\Leftrightarrow2x^2+6x-x-3+4x-2x^2=-8x-22\)

\(\Leftrightarrow18x=-19\)

hay \(x=-\dfrac{19}{18}\)