Answer:
a^2-ab+3ab^2-2b^2
Step-by-step explanation:
-2a^2b+a^2-5ab+3ab^2-b^2+2(a^2b+2ab)
Open parenthesis
-2a^2b+a^2-5ab+3ab^2-2b^2+2a^2b+4ab
Add
-2a^2b+2a^2b=0
We have
a^2-5ab+3ab^2-2b^2+4ab
Add
-5ab+4ab=-ab
We have
a^2-ab+3ab^2-2b^2
Focus on the top line angles for now.
Those two angles combine to the straight angle ABC, which is 180 degrees.
(angleABY) + (angleYBC) = angle ABC
(x+25)+(2x+50) = 180
(x+2x) + (25+50) = 180
3x+75 = 180
3x = 180-75
3x = 105
x = 105/3
x = 35
We'll use this x value to find that:
- angle YBC = 2x+50 = 2*35+50 = 70+50 = 120 degrees
- angle BEF = 5x-55 = 5*35-55 = 175-55 = 120 degrees
Angles YBC and BEF are corresponding angles (they are both in the northeast corner of their respective four-corner angle configuration). They are both 120 degrees. Since we have congruent corresponding angles, we have effectively proven that AC is parallel to DF. Refer to the converse of the corresponding angles theorem.
The regular version of the "corresponding angles theorem" says that if two lines are parallel, then the corresponding angles are congruent. The converse reverses the logic of the conditional statement. Meaning that if the corresponding angles are congruent, then the lines are parallel.
Answer:
Test statistic (t) = 0.625
Step-by-step explanation:
<u><em>Step(i):-</em></u>
mean of the Population(μ) = 10.4 hours
Sample mean (x⁻) = 10.7 hours
Standard deviation of the sample( S) = 1.44
The level of significance (α= 0.1
Sample size 'n' = 9
Degrees of freedom = n-1 = 9-1 =8
<u><em>Step(ii)</em></u>:-
Test statistic
Answer:
127 if it says to use 3.14, 200 if it does not ask to use 3.14
Step-by-step explanation:
C=
Substitute C for 400
400=2*r
400=2r
divided both sides by 2
Answer is 200
