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Fittoniya [83]
2 years ago
8

Find the value of x if…(question in picture) A. 5 B. 1 C. 14 D. 10

Mathematics
1 answer:
viva [34]2 years ago
5 0
A. 5

Since both angles are about equal to each other, set them equal to each other in an equation and solve.

2x+4 = 4x-6
-4 -4
2x = 4x-10
-4x -4x
-2x = -10
/ -2 / -2
x = 5

If you want to check, plug 5 in for x on both equations to see if they're the same answers.

2(5)+4 = 14
4(5)-6 = 14

Hope this helped. :)
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Answer:

Sheridan's Work is correct

Step-by-step explanation:

we know that

The lengths side of a right triangle must satisfy the Pythagoras Theorem

c^{2}=a^{2}+b^{2}

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c is the hypotenuse (the greater side)

In this problem

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substitute

13^{2}=7^{2}+b^{2}

Solve for b

169=49+b^{2}

b^{2}=169-49

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<em>Jayden's Work</em>

a^{2}+b^{2}=c^{2}

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substitute and solve for c

7^{2}+13^{2}=c^{2}

49+169=c^{2}

218=c^{2}

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Jayden's Work is incorrect, because the missing side is not the hypotenuse of the right triangle

<em>Sheridan's Work</em>

a^{2}+b^{2}=c^{2}

a=7\ cm\\c=13\ cm

substitute

7^{2}+b^{2}=13^{2}

Solve for b

49+b^{2}=169

b^{2}=169-49

b^{2}=120

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Sheridan's Work is correct

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