By finding the value between consecutive tick marks, we will see that:
1) x = 20
2) x = 48
3) x = 9.5
We know that each tick mark are equally spaced in the number lines below.
If you look at the first one (the already solved one). You can see that between the 4 and the 12 there are 4 ticks. If each tick has a value of T, we must have:
4 + 4*T = 12
4*T = 12 - 4 = 8
T = 8/4 = 2
Each tick values 2 units.
Between the 12 and the x there are 4 ticks, then:
x = 12 + 4*2 = 20
Now let's look at the second number line. There are 10 ticks between 25 and 140, then:
25 + 10*T = 140
10*T = 140 - 25 = 115
T = 115/10 = 11.5
And there are 2 ticks between 25 and the x, so:
x = 25 + 2*T = 25 + 2*11.5 = 48
x = 48.
Now the final number line. There are 8 ticks between 10 and 12, then:
10 + 8*T = 12
8*T = 12 - 10 = 2
T = 2/8 = 1/4 = 0.25
Now, the x is 2 ticks before the 10, then we have:
x = 10 - 2*T = 10 - 2*0.25 = 9.5
If you want to learn more about number lines:
https://brainly.com/question/4727909
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