Roses are Red
Violets are blue
God made me bootiful
What the hell happed to you. 0,0
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This one sucks but :>
First, classify each line segments of triangle that are the same in both triangles.
RS = XU
RT = XW
ST = WU
Second, divide to find the scale ratio.
7.5/3 = 2.5
16/6.4 = 2.5
15/6 = 2.5
Since the scale ratios are identical, the triangles are similar.
Therefore, the answer is [ Yes, the sides are in the ratio 2:5 ]
Best of Luck!
If im understanding this correctly, to find the value of the car after x amount of years, the answer would be 17,500 - 750(x)
A plausible guess might be that the sequence is formed by a degree-4* polynomial,

From the given known values of the sequence, we have

Solving the system yields coefficients

so that the n-th term in the sequence might be

Then the next few terms in the sequence could very well be

It would be much easier to confirm this had the given sequence provided just one more term...
* Why degree-4? This rests on the assumption that the higher-order forward differences of
eventually form a constant sequence. But we only have enough information to find one term in the sequence of 4th-order differences. Denote the k-th-order forward differences of
by
. Then
• 1st-order differences:

• 2nd-order differences:

• 3rd-order differences:

• 4th-order differences:

From here I made the assumption that
is the constant sequence {15, 15, 15, …}. This implies
forms an arithmetic/linear sequence, which implies
forms a quadratic sequence, and so on up
forming a quartic sequence. Then we can use the method of undetermined coefficients to find it.