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Gemiola [76]
3 years ago
15

Can somebody explain this to me

Mathematics
1 answer:
Snowcat [4.5K]3 years ago
3 0

Answer:

This problem is asking you to use angle relationships (vertical angles, supplementary angles) to solve this problem.

Step-by-step explanation:

1. The vertical angles between ∠1 & ∠2 are equal, so find the value of x using an equation that sets them as equal to each other.

4x - 48° = x + 30°

2. These two vertical angles are supplementary to ∠1 & ∠2 on their corresponding sides (∠1 & x + 30°, ∠2 & 4x - 48°). Subtract the value of x from 180°, which is the degree of a straight line.

180° - x = ∠1

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Step-by-step explanation:

4 0
3 years ago
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Find X FIND Y<br> PlEase Help me
baherus [9]

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°

(72° + y) + 3x = 180°

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

4 0
1 year ago
Convert 50.0 mL to liters. Use the appropriate significant figures
Paraphin [41]

Answer:

50 ml = 0.050 liters

Step-by-step explanation:

6 0
3 years ago
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Hoochie [10]

Answer:

100g : 60g : 80g

Step-by-step explanation:

5+3+4 =12 total parts

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5/12 x 240 = 100g

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Check:

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Hope this helps!

6 0
3 years ago
Daphne has a preloaded games card that she is using to play games at the arcade as shown in the table.
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Answer:

she starts with $25

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i mean i cant really explain it, its kinda self explanatory

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