Answer:
228 feet
Step-by-step explanation:
Since M represents the number of lessons he completes,
sub M=8 into S=26M+20
S=26(8)+20
=228
![\: \: \: \frac{9}{12} \\ = \frac{3 \times 3}{3 \times 4} \\ = \frac{3}{4} \\ = \frac{3}{4} \times 1 \\ = \frac{3}{4} \times \frac{2}{2} \\ = \frac{6}{8} = \frac{3}{4}.](https://tex.z-dn.net/?f=%20%5C%3A%20%20%5C%3A%20%20%5C%3A%20%20%5Cfrac%7B9%7D%7B12%7D%20%5C%5C%20%20%3D%20%20%20%5Cfrac%7B3%20%5Ctimes%203%7D%7B3%20%5Ctimes%204%7D%20%5C%5C%20%20%3D%20%20%5Cfrac%7B3%7D%7B4%7D%20%5C%5C%20%20%3D%20%20%5Cfrac%7B3%7D%7B4%7D%20%5Ctimes%201%20%5C%5C%20%20%3D%20%20%5Cfrac%7B3%7D%7B4%7D%20%5Ctimes%20%20%5Cfrac%7B2%7D%7B2%7D%20%5C%5C%20%20%3D%20%20%5Cfrac%7B6%7D%7B8%7D%20%3D%20%20%5Cfrac%7B3%7D%7B4%7D.%20%20%20%20%20%20%20)
So, Option C is the correct answer.
Hope this will help you.
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Answer:
31 units
Step-by-step explanation:
When the figure is a parallelogram, opposite sides have the same measure:
AD = BC
3x +7 = 5x -9 . . . . . . substitute given expressions
16 = 2x . . . . . . . . . . . add 9-3x
8 = x . . . . . . . . . . . . . divide by 2
Use this value of x in the expression for AD to find its required length:
AD = 3(8) +7 = 24 +7
AD = 31 . . . . units
The length of segment AD must be 31 units for ABCD to be a parallelogram.