Sẽ giải hộ vs
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M
giải hộ mình mấy bài này vs ạ !
2
6 tháng 5 2021
Bài 5 hình 1: (tự vẽ hình nhé bạn)
a) Xét ΔABD và ΔACB ta có:
\(\widehat{BAD}\)= \(\widehat{BAC}\) (góc chung)
\(\widehat{ABD}\)= \(\widehat{ACB}\) (gt)
=> ΔABD ~ ΔACB (g-g)
=> \(\dfrac{AB}{AC}\) = \(\dfrac{BD}{CB}\) = \(\dfrac{AD}{AB}\) (tsđd)
b) Ta có: \(\dfrac{AB}{AC}\) = \(\dfrac{AD}{AB}\) (cm a)
=> \(AB^2\) = AD.AC
=> \(2^2\) = AD.4
=> AD = 1 (cm)
Ta có: AC = AD + DC (D thuộc AC)
=> 4 = 1 + DC
=> DC = 3 (cm)
c) Xét ΔABH và ΔADE ta có:
\(\widehat{AHB}\) = \(\widehat{AED}\) (=\(90^0\))
\(\widehat{ADB}\) = \(\widehat{ABH}\) (ΔABD ~ ΔACB)
=> ΔABH ~ ΔADE
=> \(\dfrac{AB}{AD}\) = \(\dfrac{AH}{AE}\) = \(\dfrac{BH}{DE}\) (tsdd)
Ta có: \(\dfrac{S_{ABH}}{S_{ADE}}\) = \(\left(\dfrac{AB}{AD}\right)^2\)= \(\left(\dfrac{2}{1}\right)^2\)= 4
=> đpcm
6 tháng 5 2021
Tiếp bài 5 hình 2 (tự vẽ hình)
a) Xét ΔABC vuông tại A ta có:
\(BC^2\) = \(AB^2\) + \(AC^2\)
\(BC^2\) = \(21^2\) + \(28^2\)
BC = 35 (cm)
b) Xét ΔABC và ΔHBA ta có:
\(\widehat{BAC}\) = \(\widehat{AHB}\) ( =\(90^0\))
\(\widehat{ABC}\) = \(\widehat{ABH}\) (góc chung)
=> ΔABC ~ ΔHBA (g-g)
=> \(\dfrac{AB}{BH}\) = \(\dfrac{BC}{AB}\) (tsdd)
=> \(AB^2\) = BH.BC
=> \(21^2\) = 35.BH
=> BH = 12,6 (cm)
c) Xét ΔABC ta có:
BD là đường p/g (gt)
=> \(\dfrac{AD}{DC}\) = \(\dfrac{AB}{BC}\) (t/c đường p/g)
Xét ΔABH ta có:
BE là đường p/g (gt)
=> \(\dfrac{HE}{AE}\) = \(\dfrac{BH}{AB}\) (t/c đường p/g)
Mà: \(\dfrac{AB}{BC}\) = \(\dfrac{BH}{AB}\) (cm b)
=> đpcm
d) Ta có: \(\left\{{}\begin{matrix}\widehat{HBE}+\widehat{BEH}=90^0\\\widehat{ABD}+\widehat{ADB=90^0}\\\widehat{HBE}=\widehat{ABD}\end{matrix}\right.\)
=> \(\widehat{BEH}=\widehat{ADB}\)
Mà \(\widehat{BEH}=\widehat{AED}\) (2 góc dd)
Nên \(\widehat{ADB}=\widehat{AED}\)
=> đpcm
H
24 tháng 8 2023
a)
Theo tính chất kề bù có:
\(\widehat{xOy}+\widehat{xOy'}=180^o\\ \Rightarrow\widehat{xOy'}=180^o-130^o=50^o\)
b)
Vì Ot là tia phân giác của \(\widehat{xOy}\) nên:
\(\widehat{tOx}=\dfrac{\widehat{xOy}}{2}=\dfrac{130^o}{2}=65^o\)
Vì Ot' là tia phân giác của \(\widehat{xOy'}\) nên:
\(\widehat{xOt'}=\dfrac{\widehat{xOy'}}{2}=\dfrac{50^o}{2}=25^o\)
Số đo góc \(\widehat{tOt'}\) là:
\(\widehat{tOt'}=\widehat{tOx}+\widehat{xOt'}=65^o+25^o=90^o\)
VA
1
5 tháng 8 2020
anh hái được là: 138-15=123 quả
em hái được: 123-45=68 quả
ba mẹ con hái được; 123+68+138= 339
O
16 tháng 3 2022
Bài 1
a) \(\dfrac{3}{8}+\dfrac{5}{8}=\dfrac{8}{8}=1\)
b) \(\dfrac{3}{4}+\dfrac{-7}{16}=\dfrac{12}{16}+\dfrac{-7}{16}=\dfrac{5}{16}\)
c) \(2\dfrac{17}{20}-\dfrac{1}{2}+3\dfrac{3}{20}=\dfrac{57}{20}-\dfrac{1}{2}+\dfrac{63}{20}\)\(=\dfrac{47}{20}+\dfrac{63}{20}=\dfrac{110}{20}=\dfrac{11}{2}\)
d) \(\dfrac{2}{3}-2\dfrac{1}{8}+\dfrac{7}{24}=\dfrac{2}{3}-\dfrac{17}{8}+\dfrac{7}{24}=\dfrac{16}{24}-\dfrac{51}{24}+\dfrac{7}{24}=\dfrac{16-51+7}{24}=\dfrac{-28}{24}=\dfrac{-7}{6}\)
Bài 2 :
a) \(x-\dfrac{7}{4}=3\)
\(x=3+\dfrac{7}{4}\)
\(x=\dfrac{19}{4}\)
b) \(x-\dfrac{1}{2}=\dfrac{4}{16}\cdot\dfrac{8}{3}\)
\(x-\dfrac{1}{2}=\dfrac{2}{3}\)
\(x=\dfrac{2}{3}+\dfrac{1}{2}\)
\(x=\dfrac{5}{6}\)
c) \(\dfrac{15}{11}\div x=\dfrac{45}{22}\)
\(x=\dfrac{15}{11}\div\dfrac{45}{22}\)
\(x=\dfrac{2}{3}\)
d) \(\dfrac{8}{3}-2x=\dfrac{8}{5}-1\)
\(\dfrac{8}{3}-2x=\dfrac{3}{5}\)
\(2x=\dfrac{8}{3}-\dfrac{3}{5}\)
\(2x=\dfrac{31}{15}\)
\(x=\dfrac{31}{15}\div2\)
\(x=\dfrac{31}{30}\)
lm hộ mk vs tiện thể giải thik hộ ạ
8. The contestant managed to make it through to the finale.
9. Sam begged his dad to let him have a go with it.
10. I’m going to have someone redecorate the room.
11. Could you type this for me?
12. Anna offered to take me to the airport the next day.
13. They are going to do a Japanese course next month.
14. I am going to wear a vintage dress to the alumni party.
15. Women are becoming more and more aware of yoga today.
Write complete sentences using the cues given
1. Eating a balanced diet with different foods helps fight off diseases.
2. The liver is a gland which processes amino acids and stores vitamin and glycogen.
3. You should drink a lot of water to keep your body away from dehydration.
4. Drink warm milk before bedtime helps you fall asleep more easily.
5. Kicking bad habits is not always easy.
6. There are about 50 million cells in our body and 100,000 km of blood vessels.
7. Our heart beats faster when we exercise because our muscles use more oxygen.
8. Eating right food and doing regular exercise keep us healthy.