21. - In spite of the rainy weather, Peter went to school on time.
- In spite of the fact that it was rainy, Peter went to school on time.

22. - Although he's rich, he's always upset.
- In spite of the fact that he's rich, he's always upset.

23. - Although the weather was bad, we went on our school picnic.
- In spite of the fact that the weather was bad, we went on our school picnic.

24. - Although my grandfather was old, he was very strong.
- In spite of the fact that he was old, my grandfather was very strong.

25. - Although Peter worked hard, he failed the test.
- In spite of the fact that he worked hard, Peter failed the test.

26. - Although Jane was ill, she went to work yesterday.
- In spite of the fact that she was ill, Jane went to work yesterday.

27. - In spite of not having much money, my brother wants to travel around the world.
- In spite of the fact that he doesn't have much money, my brother wants to travel around the world.

28. - Despite being sick, I try to spare some time for my children.
- Despite the fact that I am sick, I try to spare some time for my children.

29. - Despite not being so rich, Louis often does charity.
- Although Louis is not so rich, he often does charity.

30. - Despite the fact that the weather was awful, we enjoyed our party last night.
- Although the weather was awful, we enjoyed our party last night.

21.  In spite of the fact that it was rainy, Peter went to school on time.

22. In spite of the fact that he's rich, he's always upset.

23.  In spite of the fact that the weather was bad, we went on our school picnic.

24.In spite of the fact that he was old, my grandfather was very strong.

25.In spite of the fact that he worked hard, Peter failed the test.

26.In spite of the fact that she was ill, Jane went to work yesterday.

27. In spite of the fact that he doesn't have much money, my brother wants to travel around the world.

28.Despite the fact that I am sick, I try to spare some time for my children.

29. Although Louis is not so rich, he often does charity.

30. Although the weather was awful, we enjoyed our party last night.

M N P K E

a/

Xét tg MNE và tg PKE có

EM=EP (gt)

EN=EK (gt)

\(\widehat{MEN}=\widehat{PEK}\) (góc đối đỉnh)

=> tg MNE = tg PKE (c.g.c) =>MN=KP

b/ Xét tg vuông MNP có

NP>MN (trong tg vuông cạnh huyền là cạnh có độ dài lớn nhất)

Mà MN=KP (cmt)

=> NP>KP

Tốc độ là một đại lượng vô hướng mô tả sự thay đổi vị trí của một vật trong không gian theo thời gian. Nó có thể được hiểu là khả năng của một vật thực hiện công việc di chuyển hoặc thay đổi vị trí trong một khoảng thời gian nhất định.

Cách tính tốc độ:

tốc độ được định nghĩa là tỉ lệ quảng đường và vật di chuyển và thời gian mà nó di chuyển qua với công thức 

\(v=\dfrac{s}{t}\)

- trong đó:

+ v là vận tốc (km/h)

+ s là quãng đường (km)

+ t là thời gian (h)

Bạn kiểm tra lại xem đã viết biểu thức đúng chưa vậy?

Lời giải:
Gọi số tăm mỗi lớp ủng hộ lần lượt là $a,b,c$. Theo bài ra ta có:

$a+b+c=420$

$\frac{a}{2}=\frac{b}{3}; \frac{b}{4}=\frac{c}{5}$

$\Rightarrow \frac{a}{8}=\frac{b}{12}=\frac{c}{15}$

Áp dụng TCDTSBN:

$\frac{a}{8}=\frac{b}{12}=\frac{c}{15}=\frac{a+b+c}{8+12+15}=\frac{420}{35}=12$
$\Rightarrow a=8.12=96; b=12.12=144; c=12.15=180$ (gói tăm)

je=tôi 

tame=thuần hóa

je'tame=tôi'thuần hóa

Lời giải:

$\frac{x-1}{x+3}=\frac{x-2}{x+4}$ (điều kiện: $x\neq -3; -4$)

$\Rightarrow (x-1)(x+4)=(x-2)(x+3)$

$\Rightarrow x^2+3x-4=x^2+x-6$

$\Rightarrow 2x=-2$

$\Rightarrow x=-1$

Lời giải:

$\frac{x-5}{x+7}=\frac{1}{3}$ (điều kiện: $x\neq -7$)

$\Rightarrow 3(x-5)=x+7$

$\Rightarrow 3x-15=x+7$

$\Rightarrow 2x=22$

$\Rightarrow x=11$ (thỏa mãn)

    A = (\(x\) -1 )² + |2\(x\) - y| + 2024

  (\(\)\(x\) -1)² ≥ 0 \(\forall\) \(x\); |2\(x\) - y|  ≥ 0 ∀ \(x\) 

   ⇒ (\(x\) - 1)² + |2\(x\) - y| ≥ 2024

   A_min = 2024 ⇔ \(\left\{{}\begin{matrix}x-1=0\\2x-y=2024\end{matrix}\right.\) ⇔ \(\left\{{}\begin{matrix}x=1\\y=2x-2024\end{matrix}\right.\)⇔\(\left\{{}\begin{matrix}x=1\\y=-2022\end{matrix}\right.\)

Vậy giá trị nhỏ nhất của biểu thức là: 2024 xảy ra khi \(\left\{{}\begin{matrix}x=1\\y=-2022\end{matrix}\right.\)

em cảm ơn ạ