Rule: The diagonals of any parallelogram bisect each other. In other words, they cut each other in half.
This means DF is cut into two equal pieces: DH and HF.
Similarly, GE is cut into two equal pieces: GH and HE.
DH = HF
x+5 = 2y
x = 2y-5
GH = HE
4x-3 = 4y+1
4(x)-3 = 4y+1
4(2y-5)-3 = 4y+1 ... x has been replaced with 2y-5
8y-20-3 = 4y+1
8y-23 = 4y+1
8y-4y = 1+23
4y = 24
y = 6
If y = 6, then x is
x = 2y-5
x = 2(6)-5
x = 12-5
x = 7
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Answers:
x = 7 and y = 6
310 / 75-5 = 4.42 or 4.4 hours. Let me know if you have any other questions.
Answers:
9). 45/9 = 5
10). 2 *14² = 2* 196 = 392
11). 5 * 12 * 7 = 60 * 7 = 420
12). 1/2 * 9 * 12 = 54
13).1/2(24)(9 + 21) = 12 * 30 = 360
14). 14 * 13 = 182
15). 16 * 8 * 5 = 640
16). 75/5 = 15
17). 2(5²) = 2 * 25 = 50
18). 8(2.5 + 4.2) = 8 * 6.7 = 53.6
19). 1/2(3)(5 + 6) = 33/2 = 16.5
20). 3.14(6²) = 3.14 * 36 = 113.04
Answer:(6,-1)
Explanation:The slope of the line can be calculated using the following formula:
slope =
We are given that:slope = -0.75
point (x1,y1) is (-2,5)
We will use each of the given points to calculate the corresponding slope, then compare the calculated slope with the given one.
For point (6,-1):slope =

= -0.75 ........> accepted choice
For point (2,8):slope =

= 0.75 ........> rejected choice
For point (-5,1):slope =

= 4/3 ........> rejected choice
For point (1,1):slope =

= -4/3 ........> rejected choice
Therefore, the first option is the only correct one.
Hope this helps :)