Here, we are required to determine the point where point H lie on the number line.
The point H is at point 2.5 on the number line.
The distance between point F and G on the number line is:
4 - (-2) = 6 numbers on the number line.
And since the ratio of FH to HG is 3:9
- Then, let point H be at no. X on the number line.
Therefore; FH/HG = (4 - x)/(x - (-2))
i.e 3/9 = (4 - x)/ (x +2).
By cross multiplication, 3x + 6 = 36 - 9x.
Therefore, 12x = 30
and, x = 2.5
Therefore, the point H is at point 2.5 on the number line.
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Answer:
A. Divide both sides of the equation by 3, and then subtract 6 from both sides of the equation. The solution is x = 1.
Step-by-step explanation:
3(x + 6) = 21
Divide both sides by 3
(x + 6) = 7
Subtract 6 from each side
x = 7-6
x=1
Answer:
Step-by The scale factor is the ratio that determines the proportional relationship between the sides of similar figures. For the pairs of sides to be proportional to each other, they must have the same scale factor. In other words, similar figures have congruent angles and sides with the same scale factor.-step explanation:
Recall that the probability of multiple events occurring is equal to their individual probabilities. The chance of rolling a one is 1/6, so the chance of that occurring three times is (1/6)^3, which is equal to 1/216.
x = -14, y = -6
x = ?, y = -4
We can cross multiply
-14/ -6 = ?/ -4
First, -4 x -14 = 56
Then 56/ -6 = -9.3
so if x= -14 and y= -6 then x= -9.3 when y = -4
