高2R 適当でない英文を1つ選ぶ問題 解説お願いしたいです

Digital technology has transformed the way we consume music and movies. In the past, people has to buy physical discs to enjoy them. Now, streaming services allow us to access millions of songs instantly. 4 You can listen to your favorite tracks anytime and anywhere with a smartphone. This convenience has changed the entertainment industry forever. It is hard to imagine a life without such digital tools.

これの（2）の解き方で、途中に∠DBC＝∠AEDとでてくるのですがそれがどうしてかわかりません！教えてください！右の写真が答えです！

[2]△ABCにおいて, AB=8, CA = 10, ∠BAC=30° とする. 辺AB上の点をDとしAD=α,辺 AC上の点をEとしAE=bとする.また, 点 B, C, D, E が同一円周上にあるとする.ただし, a,bは正の定数とする. (1) △ABCの面積はカキである. ク (2)αをbを用いて表すと α= ケ -bである. セ ・である. コサ (3) ADBCの面積と △ABCの面積の比が25のとき, a= b= シ ソタ

下の英語長文のhowの部分の訳し方について質問です。（空欄→whatです） how their resolutions compare with the previous year's behavior. の部分を、「どのように彼らの決断は前年の行動と比較するのか」と訳した... Read More

Every year, one of the most popular new year's resolutions is to stay fit and healthy. In one study, 32% of the volunteers said that they wanted to "lose weight." However, when we look at how consumers are planning to meet their health and fitness goals, ( 1 ) is eye-opening is how their resolutions compare with the previous year's behavior. For example, 43% of people in the U.S. say they plan to lose weight by making healthier food decisions, but 76% said they did not follow a weight loss or diet program.

並び順がよく分かりません。どなたかよろしくお願いします。

You ( 1 ①impressed. (4) being )( )( )( )( 2 never (5) without 3 see ) by its beauty. (6) the lake

高2R 適当ではない英文を1つ選ぶ問題 解説お願いしたいです

Music has the power to influence our emotions and mood. Listening to upbeat songs can make us feel more energetic and happy. On the other hand, many people use quiet music to help them staying focused. + Some studies suggest that learning an instrument can even boost brain power. It is truly a universal language that connects people everywhere.

以下の写真の様な問題の解き方を教えてほしいです。 問題を貼っていますが、一問ごとの解説ではなく 全体的な分け方について教えてほしいです。 お願いします。

1. I am planning (to travel / traveling) to Europe next month. 2. She is very good at tennis, so you should avoid (to play / playing) against her. 3. We managed (to catch / catching) the last train just in time. 4. I really don't mind (to wait waiting) for another thirty minutes. 5. He promised (to call / calling) me as soon as he arrived at the airport. 6. The company decided (to close / closing) its Tokyo office. 7. You should practice (to speak / speaking) English every day. 8. They offered (to help / helping) us clean up the kitchen. 9. I can't imagine (to live / living) without my smartphone. 10. He refused (to sign signing) the contract until he read it carefully. 11. She gave up (to look / looking) for her lost earring. 12. I expect (to finish / finishing) this project by Friday. 13. We ended up (to stay / staying) at a cheap hotel because of the storm. 14. They put off (to have / having) the meeting until next week. 15. He pretended (to know 16. The thief denied (to steal / stealing) the expensive watch. 17. I cannot afford (to buy buying) a new computer right now. 18. Have you finished (to wash / washing) the dishes yet? 19. She hesitates (to tell / telling) the truth to her parents. knowing) everything about the issue. 20. I enjoy (to listen / listening) to podcasts while commuting. 21. My brother suggested (to go / going) to the beach this weekend. 22. We hope (to see / seeing) you again in the near future. 23. You must keep (to try / trying) until you succeed. 24. The doctor recommended (to take / taking) a few days off. 25. He failed (to pass / passing) the driving test for the third time. 26. She dislikes (to wake waking) up early on Sundays. 27. They are preparing (to move / moving) to a new apartment. 28. I miss (to hang / hanging) out with my friends from high school. 29. He demanded (to speak / speaking) to the manager immediately. 30. Please escape (to make / making) careless mistakes on the exam.

動詞は助動詞と本動詞のどちらかに分けることができますか？助動詞だけの文、本動詞だけの文ってありますか。進行形や完了形の文とかはどう考えたらいいのですか？基本的なことですみませんが、いまいちよくわかりません。どなたか教えていただけるとありがたいです。

並べ替える問題を教えてください🙇‍♀️

It was not (1. had □. some >\. spent =. time . until ^. we) together that I realized he was a distant relative of mine.

並べ替える問題を教えてください🙇‍♀️

We had (1. cut □. down. how =. idea .no . to) on our expenses because we were so used to living in luxury.

答えが③なんですけど解説見てもよくわかんなくてなんで③になるか教えて欲しいです。私は②か④でなやんで接続詞かなっておもったりしたけど違いました😭

6 Our boss was sick at home, so we did finish the project. 13 we thought was needed to PE how 2 that 3 what 4 which i w obie