Answer:
Step-by-step explanation:
17) HI ≅ UH ; GH ≅ TU ; GI ≅ TH
ΔHGI ≅ ΔUTH by Side Side Side congruent
∠G ≅ ∠T ; GI ≅ TH ; ∠GIH ≅ ∠THU
ΔHGI ≅ ΔUTH by Angel Side Angle congruent
19) IJ ≅ KD ; IK ≅ KC ; KJ ≅ CD
ΔIJK ≅ ΔKDC by Side Side Side congruent
∠J ≅ ∠D ; IJ ≅ KD ; ∠I ≅ ∠DKC
ΔIJK ≅ ΔKDC by Angle Side Angle congruent
2x+y=9
3x+5y=19
I will do this problem in 2 ways. I.)Substitution II.)Elimination
Solution I.) Substitution
We can subtract 2x from both sides in the first equation.
y=9-2x
Now we can substitute the y in the second equation with 9-2x
3x+5(9-2x)=19
-7x+45=19
-7x=-26
x=26/7
y=9-2(26/7)=11/7
Solution II.)Elimination
We can multiply both side of first equation by 5 to get a 5y in both equations.
10x+5y=45
Now because both are positive 5y we just need to do simple subtraction of the 2 equation, each side respectively.
(10x+5y)-(3x+5y)=45-19
7x=26
x=26/7
2*26/7+y=9
y=11/7
Ultimately you get the same answer, both are viable methods, some problems are faster with one method but I recommend mastering both since they are very useful.
Answer:
the means absolute deviation is 1.8
the striking deviation is 7
(it is because the data point on the far right of the graph)
Step-by-step explanation:
calculate the absolute deviation:
1. calculate the mean (add all numbers and divide by 10) = 2.6
2. find the absolute value of each
2.6 - 0 = 2.6
2.6 - 1 = 1.6 (you have 1's 4 times so each one will be 1.6)
2.6 - 3 = 0.4
2.6 - 4 = 1.4 (you have 4's 3 times)
2.6 - 7 = 4.4
3. Then add all of those values together
2.6 + 1.6 + 1.6 + 1.6 + 1.6 + 0.4 + 1.4 + 1.4 + 1.4 + 7.4 = 18
4. find the mean of the difference
18/10 = 1.8
