\(0,169;0,691;1,960\)

ta có:

\(0,169+0,691+1,960\)

\(= 0 , 860 + 1 , 960\)

\(= 2 , 820 \)

Bài 3: 

a: Ta có: \(\sqrt{6+2\sqrt{5}}+\sqrt{6-2\sqrt{5}}\)

\(=\sqrt{5}+1+\sqrt{5}-1\)

\(=2\sqrt{5}\)

b: Ta có: \(\sqrt{8-2\sqrt{7}}-\sqrt{8+2\sqrt{7}}\)

\(=\sqrt{7}-1-\sqrt{7}-1\)

=-2

c: Ta có: \(\sqrt{11+6\sqrt{2}}-\sqrt{11-6\sqrt{2}}\)

\(=3+\sqrt{2}-3+\sqrt{2}\)

\(=2\sqrt{2}\)

16)

a) Tam giác ABC vuông tại A : \(AB^2+AC^2=BC^2\) 

BC=10 ⇒FC=10-5.2=4.8

b) Tam giác ABC và tam giác FEC có 

   C chung 

\(\dfrac{AC}{FC}=\dfrac{BC}{EC}=0.6\)

Do đó tam giác ABC đồng dạng với tam giác FEC (C-G-C)

c)⇒Góc  FEC=ABC=AEM

Tam giác MAE và tam giác MFB có

   Góc M chung 

Góc AEM = MBF (CMT)

⇒ 2 Tam giác đồng dạng (G-G)

⇒\(\dfrac{MA}{MF}=\dfrac{ME}{MB}\)⇒ MA.MB=MF.MB

a) Xét \(\Delta ABC\) vuông tại A có :

             \(AB^2+AC^2=BC^2\) (Định lí Py-ta-go)

=>        \(BC^2=6^2+8^2=100\) 

=>       BC = 10 (cm)

=>   CF = BC\(-\)BF = 10 - 5,2 = 4,8 (cm)

Vậy BC = 10 cm ; CF = 4,8 cm

b) Xét \(\Delta CAB\) và \(\Delta CFE\) có

 \(\left\{{}\begin{matrix}\widehat{C}:chung\\\dfrac{CF}{CE}=\dfrac{CA}{CB}\left(\dfrac{4,8}{6}=\dfrac{8}{10}=\dfrac{4}{5}\right)\end{matrix}\right.\)

=>\(\Delta CAB\sim\Delta CFE\) (c-g-c)

Vậy \(\Delta CAB\sim\Delta CFE\)

c) Xét \(\Delta MAEvà\Delta MFB\) có

\(\left\{{}\begin{matrix}\widehat{M}:chung\\\widehat{MAE}=\widehat{MFB}=90^0\end{matrix}\right.\)

=> \(\Delta MAE\sim\Delta MFB\)  (g-g)

=> \(\dfrac{MA}{MF}=\dfrac{ME}{MB}\)

=> MA.MB = MF.ME

Vậy MA.MB = ME.MF

d) Xét \(\Delta BMF\) và \(\Delta BCA\) có

\(\left\{{}\begin{matrix}\widehat{B}:chung\\\widehat{BFM}=\widehat{BAC}=90^0\end{matrix}\right.\) 

=> \(\Delta BMF\) \(\sim\)\(\Delta BCA\) (g-g)

=> \(\dfrac{MF}{AC}=\dfrac{BF}{BA}\) 

=> MF = \(\dfrac{8.5,2}{6}\) = \(\dfrac{104}{15}\approx6,9\left(cm\right)\)

Vậy MF \(\approx6,9\left(cm\right)\) 

Bài 18:

*Tính BC

Áp dụng định lí Pytago vào ΔABC vuông tại A, ta được:

\(BC^2=AB^2+AC^2\)

\(\Leftrightarrow BC^2=21^2+28^2=1225\)

hay BC=35(cm)

Vậy: BC=35cm

`(-2 1/3 ) .( - (-6)/4 )`

`= - (2xx3+1)/3 . 6/4`

`= - 7/3 . 6/4`

`= -42/12`

`= -7/2`

\(\left(-2\dfrac{1}{3}\right).\left(-\dfrac{-6}{4}\right)\)

\(=\left(-\dfrac{7}{3}\right).\dfrac{3}{2}=-\dfrac{7}{2}\)

x=\(\dfrac{15}{11}\)

=>-4x+12=6x+x-3

=>3x-3=-4x+12

=>7x=15

hay x=15/7

-4(x-3)=6x+ (x-3)  

\(\Leftrightarrow-4x+12=6x+x-3\)

<=> -4x+12=7x-3

<=> -4x + 12 - 7x +3 =0

<=> 15-11x=0

<=> x = 15/11

14.He asked me to help my withe the exercises.

15.He said he left early on Friday.

16.She asked me where he would meet that night.

17.Milk could be used for making butter and cheese.

18.Bottles of milk are brought to houses by the milkman.

19.A lot of beautiful toys are made from recyced plastic.

20.The concerts usually are held at the university.

câu 12 :A

câu 13 :B

câu 14 :D

câu 15 :A

câu 16 :D

câu 17 :A

câu 18 :C

câu cuối mik chx chắc lắm 

a: Xét ΔAFD vuông tại F và ΔCEB vuông tại E có

AD=CB

góc FAD=góc ECB

=>ΔAFD=ΔCEB

=>DF=EB

Xét tứ giác DFBE có

DF//BE

DF=BE

=>DFBE là hình bình hành

b: S CAB=S CAD

=>CH*AB=CK*AD

=>CH*AB=CK*BC

=>CH/BC=CK/AB

Xét ΔCHK và ΔBCA có

CH/BC=CK/BA

góc HCK=góc CBA

Do đó: ΔCHK đồng dạng với ΔBCA

refer

1 . Electricity will be brought to remote areas by the government next year

2 . The problem of energy shortage will be solved by using solar energy

3 . A new hydropower plant will be built to meet the increasing demand by the government

4 . In the coming decades , renewable energy will be used everyday /

5 . Will all the world's oil be used up in the next 100 years ?

6 . Solar panels will be placed on the roofs of houses to produce hot water and electricity

7 . Cold , oil , and gas won't be replaced by alternative energy sources anytime soon

8 . Will fossil fuels be completely replaced by renewable energy in the future ?

1 . Electricity will be brought to remote areas by the government next year

2 . The problem of energy shortage will be solved by using solar energy

3 . A new hydropower plant will be built to meet the increasing demand by the government

4 . In the coming decades , renewable energy will be used everyday /

5 . Will all the world's oil be used up in the next 100 years ?

6 . Solar panels will be placed on the roofs of houses to produce hot water and electricity

7 . Cold , oil , and gas won't be replaced by alternative energy sources anytime soon

8 . Will fossil fuels be completely replaced by renewable energy in the future ?