There are two methods to solve this problem. One of them is the typical method and the other one is the short-cut. I will explain the shortcut
Short-cut:
This method is quick and easy, and works with ALL triangles, which is why I suggest you use this. You make proportions. Since the triangles are similar, we can use CPCTC. Thereafter,

Now, you just need to identify the terms, substitute, and solve for the unknown, which would be k.

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So we found k, but it is asking for BE. Therefore, plug in the value of k, which is 11, into the expression for BE, which is k-7.
BE=K-7
k=11
BE=11-7
BE=4
Your answer is 4.
Answer:
51. A/P = (2.2t +25)/(2.6t +29)
52. A/P for t=0 is about 0.862
A/P for t=4 is about 0.858
Step-by-step explanation:
51. The ratio of the two given functions is ...
r(t) = A/P
r(t) = (2.2t +25)/(2.6t +29)
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52. Fill in the required numbers and do the arithmetic.
r(0) = (0 +25)/(0 +29) = 25/29
r(0) ≈ 0.862
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r(4) = (2.2·4 +25)/(2.6·4 +29) = 33.8/39.4
r(4) ≈ 0.858
The salary ratio is approximately flat at 0.86 over the 4-year period. It is declining slightly each year.
You can subtract 78.2 from 287 to get the x value alone. Your new expression will look like this:
.5x=208.8
Next you divide by .5 (or multiply the reciprocal 1/.5 depending on how you were taught)
x=417.6
Hope that helps!!
Answer:
23,990 5,940 800
0 30,640 61,280 122,560
23,990 8,940 800 3,880 34,520 69,040 138,080