Answer:
1: 18.75
Step-by-step explanation:
We multiply both sides by 5.
You can set up two equations from the information given. I will set them up for you:
32 = 4x + 2y
36 = 5x + 2y
Let's solve the first equation to come up with a value for y.
32 = 4x + 2y
32 - 4x = 2y
16 - 2x = y
Now we plug y into the other equation.
36 = 5x + 2(16-2x)
36 = 5x + 32 - 4x
4 = x
Now we have our real x value and we can plug it into the first equation.
32 = 4(4) + 2y
32 = 16 + 2y
16 = 2y
8 = y
Since x = 4 and y = 8, you get the final coordinates of (4,8).
Your answer is the second statement provided above.
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.
