|DF| = |DE| + |EF| |DF| = 9x -36 |DE| = 47 |EF| = 3x+10 Substitute: 9x - 39 = 47 + 3x + 10 9x - 39 = 3x + 57 |+39 9x = 3x + 96 |-3x 6x = 96 |:6 x = 16 Put the value of x to the equation |EF| = 3x + 10 |EF| = (3)(16) + 10 = 48 + 10 = 58 Answer: |EF| = 58
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Answer:
1.2
Step-by-step explanation:
9 3/5 divided by 8
<span>10q + 5 = 5q + 5q + 5
so
answer is
</span><span>
A. 5q+5q+5</span>
Answer:

Step-by-step explanation:
Apply the Midsegment Theorem:
![\displaystyle \frac{1}{2}[96 - 4x]° = [5x + 6]° → [48 - 2x]° = [5x + 6]° → -42 = -7x; 6 = x \\ \\ [48 - 2(6)]° = [48 - 12]° = 36° \\ \\ AND/OR \\ \\ [5(6) + 6]° = [30 + 6]° = 36°](https://tex.z-dn.net/?f=%5Cdisplaystyle%20%5Cfrac%7B1%7D%7B2%7D%5B96%20-%204x%5D%C2%B0%20%3D%20%5B5x%20%2B%206%5D%C2%B0%20%E2%86%92%20%5B48%20-%202x%5D%C2%B0%20%3D%20%5B5x%20%2B%206%5D%C2%B0%20%E2%86%92%20-42%20%3D%20-7x%3B%206%20%3D%20x%20%5C%5C%20%5C%5C%20%5B48%20-%202%286%29%5D%C2%B0%20%3D%20%5B48%20-%2012%5D%C2%B0%20%3D%2036%C2%B0%20%5C%5C%20%5C%5C%20AND%2FOR%20%5C%5C%20%5C%5C%20%5B5%286%29%20%2B%206%5D%C2%B0%20%3D%20%5B30%20%2B%206%5D%C2%B0%20%3D%2036%C2%B0)
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Answer:
37
Step-by-step explanation:
Landon is building new bookshelves for his book store
Each shelf can hold 33 books
There are 1221 mystery books
Therefore the number of shelves he will need to build can be calculated as follows
= 1221/33
= 37
Hence Landon will need to build 37 shelves