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Find the rule which gives the number of matchsticks required to make the following matchstick patterns. Use a variable to write the rule.
A pattern of letter T as `T`

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To find the rule for the number of matchsticks required to make the letter "T" using matchsticks, we can follow these steps: ### Step-by-Step Solution: 1. **Identify the number of matchsticks for one "T":** - To create the letter "T", we need 2 matchsticks: one for the vertical line and one for the horizontal line. - Therefore, for 1 "T", the number of matchsticks required is 2. 2. **Define a variable for the number of "T"s:** - Let \( n \) represent the number of "T"s we want to make. 3. **Calculate the total number of matchsticks for \( n \) "T"s:** - Since each "T" requires 2 matchsticks, if we want to make \( n \) "T"s, we multiply the number of "T"s by the number of matchsticks per "T". - The formula becomes: \[ \text{Total matchsticks} = 2 \times n \] 4. **Write the rule:** - The rule that gives the number of matchsticks required to make \( n \) "T"s is: \[ \text{Total matchsticks} = 2n \]
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MTG IIT JEE FOUNDATION-ALGEBRA-NCERT SECTION (EXERCISE - 11.1)
  1. Find the rule which gives the number of matchsticks required to make t...

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  2. Find the rule which gives the number of matchsticks required to make t...

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  3. Find the rule which gives the number of matchsticks required to make t...

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  4. Find the rule which gives the number of matchsticks required to make t...

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  5. Find the rule which gives the number of matchsticks required to make t...

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  6. Find the rule which gives the number of matchsticks required to make t...

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  7. Find the rule which gives the number of matchsticks required to make t...

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  8. We already know the rule for the pattern of letters L, C and F. Some ...

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  9. Cadets are marching in a parade. There are 5 cadets in a row. What is ...

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  10. If there are 50 mangoes in a box, how will you write the total number ...

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  11. The teacher distributes 5 pencils per student. Can you tell how many ...

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  12. A bird flies 1 kilometer in one minute. Can you express the distance ...

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  13. Radha is drawing a dot Rangoli (a beautiful pattern of lines joining ...

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  14. Leela is Radha's younger sister. Leela is 4 years younger than Radha. ...

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  15. Mother has made laddus. She gives some laddus to guests and family ...

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  16. Oranges are to be transferred from larger boxes into smaller boxes. ...

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  17. Look at the following matchstick pattern of squares (see fig.). The sq...

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  18. The given figure gives a matchstick pattern of triangles. As in above,...

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