Answer:
38 = FH
Step-by-step explanation:
Because this is a rectangle, IG = FH
We know that IE + EG = FH
We also know that IE = EG (perpendicular bisectors)
IE = EG
3x+4 = 5x-6
Subtract 3x from each side
3x-3x+4 = 5x-3x-6
4 = 2x-6
Add 6 to each side
4+6 =2x
10 =2x
Divide by 2
10/2 =2x/2
5=x
Now lets find FH
IE + EG = FH
3x+4 + 5x-6 = FH
Combine like terms
8x-2 = FH
Substitute in x =5
8*5-2
40-2
38 = FH
We know at centroid medians bisect each other in the ratio 2:1.




Answer/Step-by-step explanation:
3.a. length of AC.
Hypotenuse = AC
Opposite side to 60° = 7
Therefore, 



(to nearest tenth)
b. Length of BC
Hypotenuse = BC
Opposite side to 50° = 7
Therefore, 



(to nearest tenth)
c. Length of AB
Use the law of sines to find AB

m<C = 180 - (60 + 50) (sum of angles in a triangle) = 70°
m<A = 60°
BC = 9.1
AB = ?

Cross multiply

Divide both sides by sin(60)


(nearest tenth)
Answer: 59.91%.
Step-by-step explanation:
- We know that the fraction of the variability in data values accounted by a model is given by
, where r is the coefficient of correlation.
We are given , that the correlation between a car’s engine size and its fuel economy (in mpg) is r = - 0.774.
Then, the fraction of the variability in fuel economy is accounted for by the engine size would be 
[Multiply 100 to convert a decimal into percent]
Hence, the fraction of the variability in fuel economy is accounted for by the engine size is 59.91%.
None of the options are correct.
Answer:
no
Step-by-step explanation:
5(4x+3) = 20x+15 which isnt 20x+3