1. Alternate exterior angles
2. Vertical angles
3. Alternate interior angles
Hope that helped :)
Answer:
The solution of the given system is (x,y) = (1,4)
Step-by-step explanation:
Here, the given system of equation is:
x = -3 + y
26 x - 5 y = 6
Now, substitute x = -3 + y in the second equation , we get
26 x - 5 y = 6 ⇒ 26 (-3 + y) - 5 y = 6
or, 26(-3) + 26(y) - 5y = 6
⇒ - 78 + 26 y - 5y = 6
⇒ 21 y = 84
⇒ y = 84 / 21 = 4 or , y = 4
So x = -3 + y = -3 + 4 = 1
Hence, the solution of the given system is (x,y) = (1,4)
Answer:
6
Step-by-step explanation:
Answer:
To answer this item, we add up all the scores and divide the sum by the total number of quizzes.
0: 0 quizzes
1 : 1 quiz total : 1
2: 3 quizzes total : 6
3: 4 quizzes total : 12
4: 4 quizzes total : 16
5: 1 quiz total : 1
There are 13 quizzes and the total score is 36. Dividing the total score by the total number of quizzes will give us a final answer of 2.77.
Step-by-step explanation:
Let's call the two numbers x and y. We can write a system of equations to describe the situation:
5x = 8y
x - y = 150
Let's solve the first equation for x:
x = 8y/5
Now we can use substitution to solve the system by plugging 8y/5 in for x in the second equation:
(8y/5) - y = 150
Simplify:
3y/5 = 150
3y = 750
y = 250
If y = 250, then x is:
x = 8(250)/5 = 400
The answer is 250 and 400.
