Answer:
13. 108 inches
14. not similar (sides have different ratios)
15. 68
Step-by-step explanation:
13. You have two relationships between length and width:
2L + 2W = 336 . . . . . the perimeter is 336 inches
L/W = 9/5 . . . . . . . . . .the ratio of length to width is 9/5
Multiplying the second equation by 5/9W, we get
5/9L = W
Now we can substitute that into the first equation to get ...
2L +2(5/9L) = 336
Multiplying by 9 gives us ...
18L +10L = 3024
And dividing by 28 gives ...
3024/28 = L = 108 . . . . inches
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14. Shortest to longest, the ratios of sides are 6 : 8 : 9 and 2 : 4 : 5. There is no value that will multiply the first ratio to give the second ratio. For example, multiplying by 1/3 gives ...
2 : 2 2/3 : 3 . . . . <u>not</u> 2 : 4 : 5
Similar triangles have the same side ratios. These do not, so they are not similar triangles.
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15. MP is a midsegment of triangle JKL and parallel to base JL. A midsegment is half the length of the parallel base. Then JL is twice as long as MP. JL is 68 units long.
The answer is D 1 and 17/60
Answer:
![8[\frac{1}{2}(24)(5)]](https://tex.z-dn.net/?f=8%5B%5Cfrac%7B1%7D%7B2%7D%2824%29%285%29%5D)
cm²
Step-by-step explanation:
Surface area of the composite figure = Surface area of the lateral surfaces of the given pyramids
Lateral surface area of a square pyramid = 4
Therefore, lateral surface area of the pyramid
= ![4[\frac{1}{2}(24)(5)]](https://tex.z-dn.net/?f=4%5B%5Cfrac%7B1%7D%7B2%7D%2824%29%285%29%5D)
Now lateral surface area of the composite figure = 2(lateral surface area of two pyramids)
=
Therefore, Expression for the surface area of the given composite figure is,
cm²
Answer:
Slope: 
Y-intercept: (0,0)
Step-by-step explanation:
By putting this into a graph you can see that the y-intercept is (0,0). Also, by looking at the chart and using the walk, rise rule you can see that the slope is .
Answer: This is <u>not</u> a function
Why not?
The input x = 2 leads to more than one output. In this case, it leads to y = 20 and y = 40 simultaneously. This is the reason why we don't have a function. A function is only possible if each input x leads to exactly one y output.
Put another way: we cannot have x repeating any values if we want a function.
Side note: We could have y repeat however. So it's possible to have a function with the two points (1,5) and (3,5).
