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Crank
3 years ago
12

Solve for X (PLZ HELP ASAP)

Mathematics
2 answers:
Arte-miy333 [17]3 years ago
7 0

Answer:

x=8

Step-by-step explanation:

The exterior angle of the triangle is equal to the sum of the opposite interior angles

11x+2 = 6x+2 + 40

Combine like terms

11x+2 = 6x+42

Subtract 6x from each side

11x+2-6x = 6x+42-6x

5x+2 = 42

Subtract 2 from each side

5x+2-2 = 42-2

5x = 40

Divide each side by 5

5x/5 = 40/5

x = 8

ludmilkaskok [199]3 years ago
6 0

Answer:

x = 8

Step-by-step explanation:

The exterior angle in a triangle is equal to the sum of opposite interior angles.

6x + 2 + 40 = 11x + 2 \\ 6x + 42 = 11x + 2 \\ 42 - 2 = 11x - 6x \\40 = 5x \\  \frac{40}{5}  =  \frac{5x}{5}  \\ x = 8

hope this helps

brainliest appreciated

good luck! have a nice day!

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\text{Consider the quadratic function}\\
\\
f(x)=-5x^2-2\\
\\
\text{For a quadratic equation, }f(x)=ax^2+bx+c, \text{ we know that the x-coordinate}\\
\text{of the vertex (h,k) is given by}\\
\\
h=\frac{-b}{2a}\\
\\
\text{on comparing the given equation with standard equation, we have}

a=-5, b=0, c=-2\\
\\
\text{so the x-coordinate of the vertex is }\\
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h=-\frac{b}{2a}=-\frac{0}{2(-5)}=0\\
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\text{so plug this vlaue of the h in the given function to get the y-coordinate}\\
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f(x)=-5(0)^2-2=0-2=-2\\
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\text{hence the vertex of the parabola is: }(h,k)=(0,\ -2)\\
\\
\text{A second point on the graph can be found by putting x=1, so }\\
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f(1)=-5(1)^2-2=-5-2=-7\\
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\text{so one other point on the parabola is }(1,-7)

The grpah of the quadratic function is shown below:


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