Answer:
HB = 13
Step-by-step explanation:
In triangle GHJ, points A, B, C are mid points of the sides GH, HJ, GJ respectively.
Therefore by Mid-segment Theorem.
![AC = \frac{1}{2} HJ \\ \\ 3y - 5 = \frac{1}{2} (4y + 2) \\ \\ 3y - 5 = \frac{1}{2} \times 2 (2y + 1) \\ \\ 3y - 5 = 2y + 1\\ \\ 3y - 2y = 5 + 1 \\ \\ y = 6 \\ \\ HJ = 4y + 2 \\ \\ HJ = 4 \times 6 + 2 \\ \\ HJ = 24 + 2 \\ \\ HJ = 26 \\ \\ HB= \frac{1}{2} HJ \\ \\ HB= \frac{1}{2} \times 26 \\ \\ \huge \red{ \boxed{ HB= 13}}](https://tex.z-dn.net/?f=AC%20%3D%20%5Cfrac%7B1%7D%7B2%7D%20%20HJ%20%5C%5C%20%20%5C%5C%203y%20-%205%20%3D%20%20%5Cfrac%7B1%7D%7B2%7D%20%284y%20%2B%202%29%20%5C%5C%20%20%5C%5C%20%203y%20-%205%20%3D%20%20%5Cfrac%7B1%7D%7B2%7D%20%5Ctimes%202%20%282y%20%2B%201%29%20%5C%5C%20%20%5C%5C%20%203y%20-%205%20%3D%20%202y%20%2B%201%5C%5C%20%20%5C%5C%203y%20-%202y%20%3D%205%20%2B%201%20%5C%5C%20%20%5C%5C%20y%20%3D%206%20%5C%5C%20%20%5C%5C%20HJ%20%3D%204y%20%2B%202%20%20%5C%5C%20%20%5C%5C%20%20HJ%20%3D%204%20%5Ctimes%206%20%2B%202%20%20%5C%5C%20%20%5C%5C%20HJ%20%3D%2024%20%2B%202%20%20%5C%5C%20%20%5C%5C%20HJ%20%3D%2026%20%20%5C%5C%20%20%5C%5C%20HB%3D%20%5Cfrac%7B1%7D%7B2%7D%20%20HJ%20%5C%5C%20%20%5C%5C%20HB%3D%20%5Cfrac%7B1%7D%7B2%7D%20%20%20%5Ctimes%2026%20%5C%5C%20%20%5C%5C%20%5Chuge%20%5Cred%7B%20%5Cboxed%7B%20HB%3D%2013%7D%7D)
Answer:
1 3/4 acres
Step-by-step explanation:
6 1/2 - 4 3/4 = the remaining acres to be fenced.
we can bring all numbers to "quarters" (1/4th) to be able to make that subtraction.
6 1/2 = 13/2 = 26/4
4 3/4 = 19/4
so, 26/4 - 19/4 = 7/4 = 1 3/4 acres still to be fenced.
A. Niko earns 209.85 more than Miley in one week
B. If they both worked two weeks, Taylor
would make 661.60 more than Miley
C. Pinky will earn 4,396.80 in four weeks
D. Miley will have to work appoximately 10 weeks in order to earn the same amount as Pinky earned in four weeks.
Answer:
k = - 5
Step-by-step explanation:
Given
240 = 8(- 5 - 7k) ← divide both sides by the multiplier 8
30 = - 5 - 7k ( add 5 to both sides )
35 = - 7k ( divide both sides by - 7 )
- 5 = k