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Anuta_ua [19.1K]
2 years ago
8

How do you find X and Y? 4y + 5z = 60 5x + 3y = 60 4x + 3z = 60

Mathematics
1 answer:
oee [108]2 years ago
6 0

Answer:

1. y=5    x=8

2. x=9     y=5

3. x=12    z=4

Step-by-step explanation:

1.    4(5)+5(8)=60

2.   5(9)+3(5)=60

3.   4(12)+3(4)=60

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3 years ago
Which of the following sets of lengths can Sean use to make a right triangle?
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Answer:

{8 cm, 15 cm, 17 cm}

Step-by-step explanation:

we know that

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so

c^2=a^2+b^2

where

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a and b are the legs (perpendicular sides)

<u><em>Verify each case</em></u>

case 1) we have

{5 cm, 15 cm, 18 cm}

substitute in the formula

18^2=5^2+15^2

324=250 ----> is not true

therefore

Sean cannot make a right triangle with this set of lengths

case 2) we have

{6 cm, 12 cm, 16 cm}

substitute in the formula

16^2=8^2+12^2

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therefore

Sean cannot make a right triangle with this set of lengths

case 3) we have

{5 cm, 13 cm, 15 cm}

substitute in the formula

15^2=5^2+13^2

225=194 ----> is not true

therefore

Sean cannot make a right triangle with this set of lengths

case 4) we have

{8 cm, 15 cm, 17 cm}

substitute in the formula

17^2=8^2+15^2

289=289 ----> is true

therefore

Sean can make a right triangle with this set of lengths

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