The question gives us that the sum of two consecutive odd integeres is 244, and we are asked to find the value of the smaller integer. Well, we can first assign the variable x to the smaller integer, and the variable y to the larger odd integer.
x = smaller odd integer
y = larger odd integer
The question says that the sum of two <u>consecutive</u> odd integers is 244. This means that if x is an odd integer, the next odd integer can be expressed as x + 2. This means that the value of y is x + 2. Next, we can create an equation modeling the problem.
x + y = 244
x + (x + 2) = 244
x + x + 2 = 244
2x + 2 = 244
2x = 242
x = 121
Therefore, the value of the smaller integer is 121, and the value of the larger integer is 121 + 2 = 123. Hope this helped and have a phenomenal day!
The graph of a proportional relationship is a straightline that passes through the origin (0,0).
The only graph with that feature is the option c., so that is the answer.
The other graphs ar linear relationships because the are straighlines that to not pass through the origin.
Answer: the option c.
3x + 2x = 5x
-3 - 8 = -11
5x - 11 = 0
5x - 11 (+11) = 0 (+11)
5x = 11
5x/5 = 11/5
x = 11/5
hope this helps
Angle 4 is congruent to Angle 7 because of the theorem If 2 parallel lines are cut by a transversal then corresponding angles are congruent (Thats the reason for statement 2). The 3rd statement is correct if the reason for it is not supplementary angles but is angle addition postulate (The reason for the third one is angle addition postulate). Lastly, the answer isnt transitive property but is substitution propert because you substitute angle 7 with angle 4 (last reason is substitution).
Hope I helped