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Korolek [52]
3 years ago
5

Solve #14 for x and y plsss I WILL GIVE BRAINLY

Mathematics
1 answer:
frez [133]3 years ago
6 0

7x - 44 = 4x + 4

Add both sides 44

7x - 44 + 44 = 4x + 4 + 44

7x = 4x + 48

Subtract both sides 4x

7x - 4x = 4x - 4x + 48

3x = 48

Divide both sides by 3

3x ÷ 3 = 48 ÷ 3

<h2>x = 16 </h2>

______________________________

Suppose that the angle between 39 and 4x + 4 is t degrees as you know they make a straight line together thus :

39 + t + 4x + 4 = 180

39 + t + 4(16) + 4 = 180

39 + t + 64 + 4 = 180

39 + t + 68 = 180

t + 107 = 180

Subtract both sides 107

t + 107 - 107 = 180 - 107

<h2>t = 73 </h2>

_____________________________

8y - 43 = 4x + 4 + t

8y - 43 = 4(16) + 4 + 73

8y - 43 = 64 + 4 + 73

8y - 43 = 68 + 73

8y - 43 = 141

Add both sides 43

8y - 43 + 43 = 141 + 43

8y = 184

Divide both sides by 8

8y ÷ 8 = 184 ÷ 8

<h2>y = 23 </h2>

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solmaris [256]

ANSWER

x = 13

EXPLANATION

Use the Pythagoras Theorem to obtain,

{x}^{2}  =  {12}^{2}  +  {5}^{2}

This implies that,

{x}^{2}  = 144 + 25

{x}^{2}  = 169

Take the positive square root of both sides to get,

x =  \sqrt{169}

x = 13

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