<h3>
Answer: B. x = 6</h3>
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Explanation:
Since the vertical lines are parallel, this means the alternate exterior angles shown are congruent.
Set them equal to each other and solve for x.
15(x+2) = 120
15x+30 = 120
15x = 120-30
15x = 90
x = 90/15
x = 6
Or we could have the steps like this
15(x+2) = 120
x+2 = 120/15
x+2 = 8
x = 8-2
x = 6
Answer:
B. CPI
Step-by-step explanation:
Answer:
We have the system of equations:
y=1/3x+5
y=2/3x+5
To solve it graphically, we need to graph both lines and see in which point the lines intersect.
You can see the graph below, and you can see that the lines intersect in the point (0, 5)
Now, we can also solve this analytically.
We can use the fact that for the solution, we need y = y.
Then we can write:
(1/3)*x + 5 = (2/3)*x + 5
First, we can subtract 5 in both equations to get:
(1/3)*x = (2/3)*x
This only has a solution when x = 0.
Replacing x = 0 in one of the equations, we get:
y = (1/3)*0 + 5 = 5
Then the solution is x = 0, and y = 5, as we already could see in the graph.
Subtract 70 from 16, and you get 54.
<span>Part
1: Jasmine
practices the piano for 30 minutes on Monday. Every day she increases her practice time by 5 minutes. If she continues this
pattern, how many minutes, on the 7th day she will practice Tn = a + (n - 1)d
T7 = 30 + 5(7 - 1) = 30 + 5(6) = 30 + 30
T7 = 60 minutes
Part 2: Anthony
goes to the gym for 10 minutes on Monday. Every day he multiplies his
gym time by 2. If he continues this pattern, on the 5th day she will spend 10(2)^(5 - 1) = 10(2)^4 = 10(16) = 160 minutes in the gym.
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