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IgorC [24]
1 year ago
10

Find X FIND Y PlEase Help me

Mathematics
1 answer:
baherus [9]1 year ago
4 0

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

∠AOD + AOC = 180°

∠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

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He pays $780 for the television set.

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1200-420=780

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2 years ago
Find 3 consecutive numbers where the product of the smaller two numbers is 19 less than the square of the largest number.
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N; n+1; n+2 - 3 consecutive numbers

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-3n = -15    |divide both sides by (-3)

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6 0
2 years ago
What is the value of x?<br> 40°<br> (6x + 2)
Anvisha [2.4K]

Answer:

x = 8

Step-by-step explanation:

40 + 6x + 2 = 90   {Complementary angles}

Combine like terms

40+ 2 + 6x = 90

     42 +6x = 90         {Subtract 42 form both sides}

             6x = 90 - 42

             6x = 48       {divide both sides by 6}

        6x/6 = 48/6

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6 0
3 years ago
Read 2 more answers
Solve the equation. \dfrac18 + c = \dfrac45 8 1 ​ +c= 5 4 ​ start fraction, 1, divided by, 8, end fraction, plus, c, equals, sta
aivan3 [116]

Answer:

c=\dfrac{27}{40}\\

Step-by-step explanation:

We are required to solve for c in the equation: \dfrac{1}{8}+c= \dfrac{4}{5}

Step 1: Collect like terms

\dfrac{1}{8}+c= \dfrac{4}{5}\\c= \dfrac{4}{5}-\dfrac{1}{8}

Step 2: Find the Lowest Common Multiple of the denominators

LCM of 8 and 5 is 40

Step 3: Multiply all through by 40

40c= \dfrac{4}{5}*40-\dfrac{1}{8}*40

Step 4: Simplify

40c=32-5

40c=27

Step 5: Divide both sides by 40 and simplify if possible.

c=\dfrac{27}{40}\\

4 0
3 years ago
I spent 3/4 of my money and then I spent 1/5 of what was left. 
Alborosie
1/20 is the fraction that you'll have left
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