`a) 5+7=12`

`6+7>13`

`4+7<12`

`b)8+3=3+8`

`6+5<6+6`

Xét ΔABC có AD là phân giác

nên \(\dfrac{BD}{DC}=\dfrac{AB}{AC}=\dfrac{5}{7}\)

=>\(\dfrac{BD}{5}=\dfrac{DC}{7}\)

mà BD+DC=BC=6

nên \(\dfrac{BD}{5}=\dfrac{CD}{7}=\dfrac{BD+CD}{5+7}=\dfrac{6}{12}=\dfrac{1}{2}\)

=>BD=2,5; CD=3,5

=>\(\dfrac{BD}{BC}=\dfrac{5}{12};\dfrac{CD}{CB}=\dfrac{7}{12}\)

\(\overrightarrow{AD}=\overrightarrow{AB}+\overrightarrow{BD}\)

\(=\overrightarrow{AB}+\dfrac{5}{12}\cdot\overrightarrow{BC}\)

\(=\overrightarrow{AB}+\dfrac{5}{12}\left(\overrightarrow{BA}+\overrightarrow{AC}\right)\)

\(=\dfrac{7}{12}\cdot\overrightarrow{AB}+\dfrac{5}{12}\cdot\overrightarrow{AC}\)

=>Chọn C

a)=2 b)=3

a: \(=\left(\dfrac{4}{9}+\dfrac{5}{9}\right)+\left(\dfrac{1}{8}+\dfrac{7}{8}\right)=1+1=2\)

b: \(=\left(\dfrac{1}{6}+\dfrac{4}{6}+\dfrac{7}{6}\right)+\left(\dfrac{5}{12}+\dfrac{7}{12}\right)=2+1=3\)

a) 1/7 + 2/7 + 3/7 + 4/7 + 5/7 +6/7 = 3

b) 1/2 + 2/4 + 3/6 + 4/8 + 5/10 + 6/12 = 3

câu a bằng 3 nha
câu b cũng bằng 3 nha

a,\(\frac{1}{7}+\frac{2}{7}+\frac{3}{7}+\frac{4}{7}+\frac{5}{7}+\frac{6}{7}=\frac{1+2+3+4+5+6}{7}\)\(=\)\(\frac{21}{7}\)

b,\(\frac{1}{2}+\frac{2}{4}+\frac{3}{6}+\frac{4}{8}+\frac{5}{10}+\frac{6}{12}\)\(=\)\(\frac{1}{2}+\frac{1}{2}+\frac{1}{2}+\frac{1}{2}+\frac{1}{2}+\frac{1}{2}\)\(=\)\(\frac{1+1+1+1+1+1}{2}\)\(=\)\(\frac{6}{2}=6\div2=3\)

a: Dấu hiệu là thời gian giải bài

Số các giá trị là 10

b: 

Mốt là 7 và 8

c: Phần lớn làm xong trong 7 hoặc 8 phút

giúp em trả lời nhanh nha đang cần gấp

\(\frac{5}{6}\cdot\frac{7}{12}+\frac{5}{12}\cdot\frac{5}{6}+\frac{1}{6}\)

\(=\frac{5}{6}\cdot\left(\frac{7}{12}+\frac{5}{12}\right)+\frac{1}{6}\)

\(=\frac{5}{6}\cdot1+\frac{1}{6}\)

\(=\frac{5}{6}+\frac{1}{6}\)

\(=1\)

\(\left(\frac{8}{15}\cdot\frac{3}{4}\cdot\frac{5}{4}\right):\frac{7}{8}\)

\(=\frac{4\cdot2\cdot3\cdot5}{3\cdot5\cdot4\cdot2\cdot2}:\frac{7}{8}\)

\(=\frac{1}{2}:\frac{7}{8}\)

\(=\frac{1}{2}\cdot\frac{8}{7}\)

\(=\frac{4}{7}\)

 \(a,\frac{5}{6}.\frac{7}{12}+\frac{5}{12}\cdot\frac{5}{6}+\frac{1}{6}=\frac{5}{6}.\left(\frac{7}{12}+\frac{5}{12}\right)+\frac{1}{6}=\frac{5}{6}.1+\frac{1}{6}=\frac{5}{6}+\frac{1}{6}=\frac{6}{6}=1\)

\(b,\left(\frac{8}{15}.\frac{3}{4}.\frac{5}{4}\right):\frac{7}{8}=\left(\frac{8.3.5}{15.4.4}\right).\frac{8}{7}=\frac{2.4.3.5\cdot4\cdot2}{3.5.4.2.2\cdot7}=\frac{1.1.1.1.4.1}{1\cdot1\cdot1\cdot1\cdot1.7}=\frac{4}{7}\)

mk nha, ai tk mk mk tk lai

\(a,\frac{3\times4\times7}{12\times8\times9}=\frac{3\times4\times7}{3\times4\times2\times4\times3\times3}=\frac{7}{72}\)

\(b,\frac{4\times5\times6}{12\times10\times8}=\frac{2\times2\times5\times3\times2}{4\times3\times5\times2\times4\times2}=\frac{1}{8}\)

\(c,\frac{5\times6\times7}{12\times14\times15}=\frac{5\times3\times2\times7}{4\times3\times7\times2\times5\times3}=\frac{1}{12}\)

k tôi đi

a: \(=\dfrac{-5}{8}+\dfrac{7}{12}=\dfrac{-15}{24}+\dfrac{14}{24}=\dfrac{-1}{24}\)

b: \(=\dfrac{3}{4}-\dfrac{5}{6}+\dfrac{11}{12}=\dfrac{9}{12}-\dfrac{10}{12}+\dfrac{11}{12}=\dfrac{10}{12}=\dfrac{5}{6}\)

c: \(=\dfrac{6}{36}-\dfrac{1}{36}=\dfrac{5}{36}\)

d: \(=\dfrac{5}{12}+\dfrac{5}{12}=\dfrac{10}{12}=\dfrac{5}{6}\)

e: \(=\dfrac{-8}{56}-\dfrac{7}{56}=\dfrac{-15}{56}\)

f: \(=\dfrac{-5}{15}+\dfrac{3}{25}=\dfrac{-25}{75}+\dfrac{9}{75}=\dfrac{-16}{75}\)