Answer:
EG is 19 units
Step-by-step explanation:
Let us solve the question
∵ Lines CD and EF intersected at point G
∴ CD = CG + GD
∴ EF = EG + GF
∵ Line EF bisects line CD
→ That means G is the midpoint of CD
∴ CG = GD
∵ CG = 5x -1
∵ GD = 7x - 13
→ Equate them to find x
∴ 7x - 13 = 5x -1
→ Add 13 to both sides
∴ 7x -13 + 13 = 5x - 1 + 13
∴ 7x = 5x + 12
→ Subtract 5x from both sides
∴ 7x - 5x = 5x - 5x + 12
∴ 2x = 12
→ Divide both sides by 2
∴ 
∴ x = 6
∵ EF = 6x - 4
→ Substitute x by 6 to find its length
∴ EF = 6(6) - 4 = 36 - 4
∴ EF = 32
∵ EF = EG + GF
∵ GF = 13
∴ 32 = EG + 13
→ Subtract 13 from both sides
∵ 32 - 13 = EG + 13 - 13
∴ 19 = EG
∴ EG = 19 units
Answer:
none of the given answers make sense, the answer would be 4,200
Answer:
(B)permits only certain substances to leave but all to enter
Answer:
Its statistically significant, that Mean monthly apartment rent in town east < $ 750
Step-by-step explanation:
Null Hypothesis [H0] : Mean monthly apartment rent in town east = 750
Alternate Hypothesis [H1]: Mean monthly apartment rent in town east < 750
t = (x' - u) / (s / √n)
x' = sample mean = 737
u = population assumed mean = 750
s = standard deviation = 23
n = no. of units in sample
t = (737 - 750) / (23 / √18) = -13 / 5.4212
= -2.39
t tabulated critical value : for one sided 0.05 significance level, at 17 degrees of freedom = -1.740
t calculated value, -2.39 < t tabulated critical value, - 1.740
We reject the null hypothesis, & state that its statistically significant, that Mean monthly apartment rent in town east < 750
