Vì AB//CD

nên ΔMAB~ΔMCD

=>\(\dfrac{S_{MAB}}{S_{MCD}}=\left(\dfrac{AB}{CD}\right)^2=\dfrac{1}{9}\)

=>\(\dfrac{S_{MAB}}{S_{ABCD}}=\dfrac{1}{8}\)

=>\(S_{MAB}=\dfrac{S_{ABCD}}{8}=3\left(cm^2\right)\)

\(\dfrac{9}{5}< 2;\dfrac{7}{6}< \dfrac{29}{24};3>\dfrac{17}{18}\)

9/5< 2

Vì 10/5=2 mà 9/5<10/5

7/6<29/24

Quy đồng 7/6 và 29/24 ta được 28/24 và 29/24 mà 28/24<29/24

3>17/18

17/18<1 mà 3 > 1

Chúc cậu học tốt, thấy ok thì cho tớ xin một tim nhé!

`B=\frac{7}{40}+\frac{7}{88}+\frac{7}{154}+\frac{7}{238}+\frac{7}{340}`

`=\frac{7}{5.8}+\frac{7}{8.11}+\frac{7}{11.14}+\frac{7}{14.17}+\frac{7}{17.20}`

`=\frac{7}{3} . \left ( \frac{3}{5.8}+\frac{3}{8.11}+\frac{3}{11.14}+\frac{3}{14.17}+\frac{3}{17.20} \right )`

`=\frac{7}{3}. \left ( \frac15-\frac18+\frac18-\frac{1}{11}+\frac{1}{11}-\frac{1}{14}+\frac{1}{14}-\frac{1}{17}+\frac{1}{17}-\frac{1}{20} \right )`

`=\frac{7}{3} .\left( \frac15-\frac{1}{20} \right )`

`=\frac{7}{3} .\frac{3}{20}=\frac{7}{20}`

Hình vẽ đâu vậy bạn?

12 số

@kurumicute mik cam on!

a) \(S_{EAG}=\dfrac{1}{2}\times AG\times ED=\dfrac{1}{2}\times2\times3=3\left(cm^2\right)\)

\(S_{PBC}=\dfrac{1}{2}\times BC\times DC=\dfrac{1}{2}\times5\times5=12,5\left(cm^2\right)\)

b) Ta có:

\(S_{EBC}=\dfrac{1}{2}\times BC\times EC=\dfrac{1}{2}\times5\times8=20\left(cm^2\right)\)

\(S_{PEC}=S_{ECB}-S_{PBC}=20-12,5=7,5\left(cm^2\right)\)

Vậy nên:

\(PD=\dfrac{2\times S_{PEC}}{EC}=\dfrac{2\times7,5}{8}=1,875\left(cm\right)\)

c) Ta thấy:

\(\dfrac{IM}{IP}=\dfrac{S_{MIG}}{S_{IPG}}=\dfrac{S_{MIE}}{S_{IPE}}\) nên \(\dfrac{IM}{IP}=\dfrac{S_{MGE}}{S_{GPE}}=\dfrac{\dfrac{1}{2}\times MG\times3}{\dfrac{1}{2}\times GP\times3}=\dfrac{MG}{GP}\)

Kéo dài AD cắt EF tại K.

Ta có \(S_{AKM}=\dfrac{1}{2}\times3\times2=3\left(cm^2\right)\)

nên \(S_{EKM}=S_{AKE}-S_{AKM}=\dfrac{1}{2}\times3\times5-3=4,5\left(cm^2\right)\)

Vậy \(FM=\dfrac{2\times S_{EKM}}{KE}=1,8\left(cm\right)\)

Thế thì \(MG=3-1,8=1,2\left(cm\right)\)

Lại có \(GP=3-1,875=1,125\left(cm\right)\)

Vậy nên:

\(\dfrac{IM}{IP}=\dfrac{MG}{GP}=\dfrac{1,2}{1,125}=\dfrac{16}{15}\).

Tttt

Ggghghnkhg

a: 11+13+15+17+19

=(11+19)+(13+17)+15

=30+30+15

=75

b: \(122+2116+278+84\)

=(122+278)+(2116+84)

=400+2200

=2600

c: \(12\times125\times54\)

=1500x54

=81000

d: \(27\times36+27\times64=27\times\left(36+64\right)=27\times100=2700\)

e: \(25\text{x}37+25\text{x}63-150\)

=25x(37+63)-150

=25x100-150

=2500-150

=2350

f: \(425\text{x}74-27\text{x}425-1\)

=425x(74-27-1)

=425x46=19550

g: \(8\text{x}9\text{x}14+6\text{x}17\text{x}12+19\text{x}4\text{x}18\)

=14x72+17x72+19x72

=72x(14+17+19)

=50x72=3600

a) $11+13+15+17+19$

$=(11+19)+(13+17)+15$

$=30+30+15$

$=60+15=75$

b) $122+2116+278+84$

$=(122+278)+(2116+84)$

$=400+2200=2600$

c) $12\times125\times54$

$=3\times4\times125\times2\times27$

$=(4\times2)\times125\times(3\times27)$

$=8\times125\times81$

$=1000\times81=81000$

d) $27\times36+27\times64$

$=27\times(36+64)$

$=27\times100=2700$

e) $25\times37+25\times63-150$

$=25\times(37+63)-150$

$=25\times100-150$

$=2500-150=2350$

f) $425\times74-27\times425-425$

$=425\times(74-27-1)$

$=425\times(47-1)$

$=425\times46=19550$

g) $8\times9\times14+6\times17\times12+19\times4\times18$

$=(8\times9)\times14+(6\times12)\times17+(4\times18)\times19$

$=72\times14+72\times17+72\times19$

$=72\times(14+17+19)$

$=72\times(31+19)$

$=72\times50=3600$

$\mathtt{Toru}$