This is solved by setting up two equations and then using one to answer the other.
The first step (use what is given to set up the two separate equations)
We are looking for two numbers, let us call them X and Y.
We are told that X + Y = 59
We are also told that (9 more than) 9+ (4times the smaller number) 4Y is the bigger number X
Then we combine that into 9+4Y=X
so we now have two separate equations and we can use one to solve the other. Everywhere we have X in the first equation, we will fill in with the second equation
(9+4Y) +Y = 59 [then combine like terms]
9+5Y=59 [subtract 9 from both sides]
5Y=50 [divide both sides by 5 to isolate the Y]
Y=10 [now plug this into either equation to solve for X]
9+4(10)=X
9+40=X
<u><em>49=X and 10=Y</em></u>
834+14s=848>978-10s=968
a real life situation for that could be like how many apples 848apples/968total
2860 times .12 equals $343.20
Answer:no
Step-by-step explanation:
Answer is 105 degrees.
Explanation:
Given two parallel lines AB and CD and a transversal cutting the two lines.
We know that when a transversal cuts two parallel line,
i) corresponding angles would be equal
ii) Interior angles total to 180
iii) alternate angles are equal.
In the picture given we have corresponding angles as
(2,6) . Hence angle 2 = angle 6.
Angle 6 = 75 (given)
Hence angle 2 =75.
Angles 1 and 2 are supplementary because they form a linear pair.
Hence angle 1 = 180-75
Angle 1 =105
