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\(\Rightarrow\dfrac{5}{4}-\dfrac{1}{4}x=\dfrac{3}{10}x-\dfrac{2}{5}\)
\(\Rightarrow\dfrac{5}{4}+\dfrac{2}{5}=\dfrac{3}{10}x-\dfrac{1}{4}x\)
\(\Rightarrow\dfrac{33}{20}=\dfrac{11}{20}x\)
\(\Rightarrow x=\dfrac{33}{20}\div\dfrac{11}{20}\)
\(\Rightarrow x=3\)
\(1\dfrac{1}{4}-x\dfrac{1}{4}=x\cdot30\%\cdot\dfrac{2}{5}\)
\(\Leftrightarrow\dfrac{5}{4}-x\dfrac{1}{4}=x\cdot\dfrac{3}{10}-\dfrac{2}{5}\)
\(\Leftrightarrow\dfrac{5}{4}-\dfrac{1}{4}x=\dfrac{3}{10}x-\dfrac{2}{5}\)
\(\Leftrightarrow25-5x=6x-8\)
\(\Leftrightarrow-5x-6x=-8-25\)
\(\Leftrightarrow-11x=-33\)
\(\Leftrightarrow x=3\)
Vậy x = 3
Câu 14)
\(a,\\ =-\dfrac{3}{8}+\dfrac{8}{17}+\dfrac{-5}{8}-\dfrac{3}{5}+\dfrac{9}{17}\\ =\left(\dfrac{-3}{8}+\dfrac{-5}{8}\right)+\left(\dfrac{8}{17}+\dfrac{9}{17}\right)-\dfrac{3}{5}\\ =\left(-1\right)+1-\dfrac{3}{5}=0-\dfrac{3}{5}=\dfrac{-3}{5}\\ b,\\ =\dfrac{7}{15}.\dfrac{-15}{14}+\left(\dfrac{27}{16}-\dfrac{1}{8}\right):\dfrac{5}{8}\)
\(=\dfrac{-1}{2}+\dfrac{25}{16}.\dfrac{8}{5}=\dfrac{-1}{2}+\dfrac{5}{2}=2\\ c,\\ =\dfrac{2}{2}-\dfrac{2}{3}+\dfrac{2}{3}-\dfrac{2}{4}+.....+\dfrac{2}{99}-\dfrac{2}{100}\\ =1-\dfrac{1}{50}=\dfrac{49}{50}\)
Câu 15
\(a,2x+\dfrac{-1}{4}=\dfrac{3}{2}\\ 2x=\dfrac{3}{2}-\dfrac{-1}{4}=\dfrac{7}{4}\\ x=\dfrac{7}{4}:2=\dfrac{7}{8}\\ b,\dfrac{15}{x}=\dfrac{-3}{4}\\ x=\dfrac{15.4}{-3}=-20\)
Giải:
Tên tam giác |
Tên 3 đỉnh |
Tên 3 góc |
Tên 3 cạnh |
ABI |
A,B,I |
|
AB, BI, IA |
AIC |
A,I,C |
|
AI, IC, CA |
ABC |
A,B,C |
|
AB, BC, CA |
Giải:
Hình |
Tên góc (cách viết thông thường) |
Tên đỉnh |
Tên cạnh |
Tên góc (Cách viết kí hiệu) |
a |
Góc yCz, góc zCy, góc C |
C |
Cy,Cz |
|
b |
Góc MTP, PTM, T Góc TMP, PMT,M Góc TPM, MPT,P |
T M P |
TM,TP MT,MP PT,PM |
|
c |
Góc xPy,yPx,P Góc ySz,zSy |
P S |
Px, Py Sy, Sz |
Bài 2:
1: 3x-1,7=1,5*3
=>3x-1,7=4,5
=>3x=4,5+1,7=6,2
=>\(x=\dfrac{6.2}{3}=\dfrac{62}{30}=\dfrac{31}{15}\)
2: \(2x-15=35\cdot\left(-1\right)^{10}\)
=>2x-15=35
=>2x=35+15=50
=>x=50/2=25
3: \(\dfrac{x}{-12}=\dfrac{-20}{6}\)
=>\(\dfrac{x}{12}=\dfrac{20}{6}=\dfrac{10}{3}\)
=>\(x=\dfrac{10}{3}\cdot12=10\cdot4=40\)
4: \(\dfrac{1}{4}x-50\%x=-1\dfrac{3}{4}\)
=>\(\dfrac{1}{4}x-\dfrac{1}{2}x=-\dfrac{7}{4}\)
=>\(-\dfrac{1}{4}x=-\dfrac{7}{4}\)
=>x=7
5: \(\dfrac{x}{1\cdot2}+\dfrac{x}{2\cdot3}+...+\dfrac{x}{99\cdot100}=\left(-10\right)^2\)
=>\(x\left(\dfrac{1}{1\cdot2}+\dfrac{1}{2\cdot3}+...+\dfrac{1}{99\cdot100}\right)=100\)
=>\(x\left(1-\dfrac{1}{2}+\dfrac{1}{2}-\dfrac{1}{3}+...+\dfrac{1}{99}-\dfrac{1}{100}\right)=100\)
=>\(x\left(1-\dfrac{1}{100}\right)=100\)
=>\(x\cdot\dfrac{99}{100}=100\)
=>\(x=100:\dfrac{99}{100}=\dfrac{10000}{99}\)
Bài 1:
1: \(\dfrac{1}{4}+\left(\dfrac{1}{2022}+\dfrac{3}{4}\right)\)
\(=\dfrac{1}{4}+\dfrac{1}{2022}+\dfrac{3}{4}\)
\(=1+\dfrac{1}{2022}=\dfrac{2023}{2022}\)
2: \(\dfrac{3}{19}\cdot\dfrac{-5}{17}+\dfrac{3}{19}\cdot\dfrac{-12}{17}+2022\dfrac{3}{19}\)
\(=\dfrac{3}{19}\left(-\dfrac{5}{17}-\dfrac{12}{17}\right)+2022+\dfrac{3}{19}\)
\(=-\dfrac{3}{19}+\dfrac{3}{19}+2022=2022\)
3: \(2,86\cdot4+3,14\cdot4-6,01\cdot5+3^2\cdot\left(-1\right)^{20}\)
\(=4\left(2,86+3,14\right)-30,05+9\)
\(=4\cdot6-30,05+9\)
=2,95
4: \(2,5\left(4,1-3-2,5+2\cdot7,2\right)+4,2:4\)
\(=2,5\left(1,1-2,5+14,4\right)+1,05\)
\(=2,5\cdot13+1,05=32,5+1,05=33,55\)