From the given information, we can note that angle1 and angle2 are corresponding angles with respect to line u. Angle2 and angle9 are alternate exterior angles with respect to the right vertical line and angle5 and angle7 are alternate interior angles with respect to line v.
Therefore, the theorems which justify the answer are, respectively: Corresponding angles theorem, Alternater exterior angles theorem and Alternate Interior angles theorem.
Answer:
850 leaves were on the tree initially.
Same as;
2/5 + 1/5 + 3/10 + (remaining leaves 1/10) = 1
4/10 + 2/10 + 3/10 + 1/10
10 x 85 = 850
Step-by-step explanation:
2/5 wk 1 fall off
1/5 wk 2 fell off
3/5 x 1/2 = 3/10 wk 2 stayed on tree
1/3 x 3/10 = 1/10 wk 3 stayed on
2/5 + 1/5 + 3/10 = 9/10 = 0.9 fall off in total
10/10 - 9/10 = 1/10 left on tree
1/10 = 85
10 x 85 = 850 leaves.
Answer:
the solution of the system is:
x = 1 and y = 2.
Step-by-step explanation:
I suppose that we want to solve the equation:
-6*x + 6*y = 6
6*x + 3*y = 12
To solve this, we first need to isolate one of the variables in one of the equations.
Let's isolate y in the first equation:
6*y = 6 + 6*x
y = (6 + 6*x)/6
y = 6/6 + (6*x)/6
y = 1 + x
Now we can replace this in the other equation:
6*x + 3*(1 + x) = 12
6*x + 3 + 3*x = 12
9*x + 3 = 12
9*x = 12 - 3 = 9
x = 9/9 = 1
Now that we know that x = 1, we can replace this in the equation "y = 1 + x" to find the value of y.
y = 1 + (1) = 2
Then the solution of the system is:
x = 1 and y = 2.
Answer:
x + (5x-9)
Step-by-step explanation:
x stands for the number of coins Nancy has
Kevin has 9 less than 5 times what Nancy has, so his part of the expression is 5x-9
To find the total number of coins they have, you have to add Nancy's number of coins x plus Kevin's number of coins 5x-9
x + (5x-9)
But you have to put parentheses around Kevin's 5x-9 so that part of the expression is calculated first, as per order of operations
