Answer:
∠ 1 = 109° , ∠ 2 = 71°
Step-by-step explanation:
The 2 angles form a linear pair and sum to 180°
Sum the 2 angles and equate to 180
5x + 9 + 3x + 11 = 180 , that is
8x + 20 = 180 ( subtract 20 from both sides )
8x = 160 ( divide both sides by 8 )
x = 20
Then
∠ 1 = 5x + 9 = 5(20) + 9 = 100 + 9 = 109°
∠ 2 = 3x + 11 = 3(20) + 11 = 60 + 11 = 71°
2^(-6) or 1/(2^6) . You can pick either one
Answer:
31.4 inches
Step-by-step explanation:
36+144 = 180
sqrt(180) = 13.41
6 + 12 + 13.4
Answer:
D.
Step-by-step explanation:
Both have a slope or "rate of change" of 1/2 because going from (0,5)-->(2,6) on the first one you go right 2 units and up 1 and slope is rise over run or y/x values in this case it would be 1/2 and on the bottom function you can see it goes from (0,-2)-->(4,0) and this goes right 4 units and up 2 units same principal applies you get 2/4 which is equal to 1/2 also it being negative or not doesn't change whether the two functions have the same rate of change.
Answer:
Test statistic Z = 2.1097
Step-by-step explanation:
<u><em>Step(i):-</em></u>
Given that size of the sample 'n' = 160
Given that mean of the Population(μ) = 5.3pounds/square inch
The Standard deviation of the population(σ) = 0.6
Mean of the sample(x⁻) = 5.4
Level of significance =0.1
<u><em>Step(ii):-</em></u>
Test statistic
Z = 2.1097
<u><em>Final answer</em></u>:-
Test statistic Z = 2.1097
