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lana [24]
3 years ago
15

Please help me with this question

Mathematics
2 answers:
NeX [460]3 years ago
7 0
1. y^2 - (y^2 + 10y+ 25) = 20
2. -10y -25 = 20
3. -10y = 45
4. y = -4.5
lilavasa [31]3 years ago
6 0
Y^2 - (y+5)^2 = 20
starting with (y+5)^2 that's y^2 + 5y + 5y + 25
then you change the signs and get
y^2 - y^2 - 10y - 25 = 20
so -10y = 45 >> 10y = -45 >> y = -4,5
answer: A

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1. <s=<u , there is 180' in a triangle total so 180- <S - <U = <T

180 - 54 - 54 = 72

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Step-by-step explanation:

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Step-by-step explanation:

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The X and Y angles created by lines intersection in the pictures are 18° and 54°.

Based on the picture, angle ∠MON is a right angle hence it has an 90° angle. We then know that the ∠MOA is 72°. Because angle ∠MOA lies within the angle ∠MON, hence we can write the following formula:

∠MON = ∠MOA +∠AON = 90°

∠MON = 72° + ∠AON = 90°

∠AON = 18° ... (i)

If we focus on the line CD being intersected by the line AB, hence we can conclude that the angles form by this intersection will follow these rules:

∠AOD = ∠BOC

∠AOC = ∠BOD

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∠BOC + ∠BOD = 180°

Based on the picture, we know that:

∠BOC = x

∠AOC = ∠MOA + ∠MOC

∠AOC = 72° + y ...(ii)

∠AOD = ∠AON + ∠NOD

∠AOD = 18° +2x

∠BOC = 3x ... (iii)

Because we already know that ∠BOC = AOD, hence we could rewrite the formula into:

∠BOC = ∠AOD

3x = 18° + 2x

x = 18° ... (iv)

To find the value of y, we need to focus on angle ∠AOC. Based on the previous calculations and formulas, we  know that:

∠AOC + ∠BOC = 180° ... (v)

Input equations (ii) and (iv) into (v)

∠AOC + ∠BOC = 180°

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72° + y + 3(18°) = 180°

126° + y = 180°

y = 54° ... (vi)

Learn more about the angles by lines intersection here: brainly.com/question/2077876?referrer=searchResults

#SPJ1

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