Answer:
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- <u><em>The length of the image of the segment GH would be 5 units.</em></u>
Explanation:
You can use the <em>center of dilation</em> as your origin of coordintes.
Thus, the <em>point H</em> would have coordinates (0,0) and the <em>point G</em> (-1,0).
A <em>dilation</em> multiplies the coordinates by the <em>scale factor</em>. Hence:
- H = (0,0) → H' = 5 × (0,0) = (0,0)
- G = (-1,0) → G] = 5 × (-1, 0) = (-5, 0)
Thus, the length of the image of segment GH would be the distance from 0 to -5 in a number line, which is 5.
A ratio is a comparison of two values. In this case, there are 6 boys to every 15 girls. So, this means the ratio is 6:15.
Hopefully, this helps!
Step-by-step explanation:
We have been given that David, Egil and Frances share money in the ratio 2:7:9.
Let 2x, 7x and 9x be the amounts of money that David, Agil and Frances get respectively.
We are told that Frances gets $80 more than David. So we can write this information in an equation as:

Now let us solve for x.


Now let us substitute
in 7x (amount of money that Egil gets).

Upon cancelling out 7 from numerator and denominator we will get,
Therefore, Egil will get $80.
Answer: 44 Crayons
Step-by-step explanation: