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Ipatiy [6.2K]
3 years ago
14

X=The measure of the exterior angle of the triangle is:​

Mathematics
2 answers:
Mrac [35]3 years ago
6 0

Step-by-step explanation:

We know that

\sf \hookrightarrow \:  \boxed{ \sf \: sum \: of \: two \: interior \: angles  = exterior \: angle} \\  \sf \hookrightarrow \: 50 + x = 3x - 54 \\  \sf \hookrightarrow \: x - 3x =  - 54 - 50 \\  \sf \hookrightarrow \:  - 2x =  - 104 \\  \sf \hookrightarrow \: 2x  = 104 \\  \sf \hookrightarrow \: x =  \frac{104}{2}   \\ \sf \hookrightarrow \:  x = 52

aniked [119]3 years ago
6 0

Answer:

x= 52

exterior =102

Step-by-step explanation:

50+x=3x-54

50+54=3x-×

104=2x

52=x

3(52)-54

156-54=102

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A meal at a restaurant cost $34.50, before tip. You decide to leave the server an 18% tip. What is your total bill?
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2 years ago
1. What is the solution of n² – 49 = 0? (1 point)
maks197457 [2]

Answer:

1. n=\pm7

2. x=\pm7i[tex]3.[tex]\pm 12x =a

4. 22

Step-by-step explanation:

1. n^2 - 49 = 0

n^2 =49

n= \sqrt{49}

n=\pm7

2. x^2+64 = 0

x^2 =-64

x= \sqrt{49}

x=\pm7i[tex]3. Area of square = [tex]a^{2}

Where a is the side

We are given an area o square = 144x^{2}

So, 144x^{2}=a^{2}

\sqrt{144x^{2}}=a

\pm 12x =a

4. We are given that the solution of quadratic equation -9 and 9

So, equation becomes:

(x+9)(x-9)=0

x^2- 81=0

So, in the given equation x^2 + z = 103

z should be the number from which if we subtract 103 so we get 81

Substitute z = 22

x^2 + 22 = 103

x^2 + 22 -103=0

x^2 -81=0

Thus the value of z is 22

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3 years ago
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