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Nitella [24]
3 years ago
10

I’m struggling. Sorry. Any help is appreciated

Mathematics
2 answers:
AfilCa [17]3 years ago
8 0

Answer:

x = 20

Step-by-step explanation:

The 2 angles are vertical and congruent, thus

10x - 27 = 8x + 13 ( subtract 8x from both sides )

2x - 27 = 13 ( add 27 to both sides )

2x = 40 ( divide both sides by 2 )

x = 20

avanturin [10]3 years ago
4 0

Answer:

(8x+13)=(10x-27) being vertically opposite triangles.

Now take the 8 to the next side and minus it by 10x which means 10x-8x, the answer is 2x

Then, do with 27 and 13 also and whatever the answer comes it will be divided by 2, so that is the value of x

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oksian1 [2.3K]

Answer:

<em>(8.21, -20.79)</em>

Step-by-step explanation:

Given the simultaneous equation;

\frac{a}{b} - \frac{b}{2} = 10\\a - b = 29

From 2;

a = 29 + b ....3

Substitute 3 into 1;

\frac{29+b}{b} - \frac{b}{2}  = 10\\\frac{2(29+b)-b^2}{2b} = 10\\\frac{58+2b-b^2}{2b} = 10\\58+2b-b^2 = 20b\\b^2-2b-58 = -20b\\b^2-2b+20b -58 = 0\\b^2+18b-58 = 0\\

Factorize

b = -18±√18²-4(-58)/2

b = -18±√324+232/2

b = -18±√556/2

b = -18±23.58/2

b = -18-23.58/2 and -18+23.58/2

b = -41.58/2 and 5.58/2

b = -20.79 and 2.79

Since a = 29 + b

when b = -20.79

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a = 8.21

<em>Hence the solution to the system of equation is (8.21, -20.79)</em>

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2 years ago
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