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Ghella [55]
2 years ago
8

This circle is circumscribed about quadrilateral ABCD. What is the value of x?

Mathematics
1 answer:
worty [1.4K]2 years ago
6 0

Answer:

The value of x is 56°

Step-by-step explanation:

Given that opposite angles in a cyclic quadrilateral is add up to 180°. So in order to find x, you have to write an expression in terms of x :

97  + x + 27 = 180

x + 124 = 180

Next you have to solve it by substracting 124 to both sides :

x + 124 - 124 = 180 - 124

x = 56

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For a direct variation between each point (x, y),

\begin{gathered} x\propto y \\ x=ky \\ k=\frac{x}{y} \end{gathered}

For (x₁, y₁) = (3, 12),

\begin{gathered} k=\frac{3}{12} \\ k=0.25 \end{gathered}

To find n, consider (n, 8) = (x, y)

\begin{gathered} x=ky \\  \end{gathered}

Substituting,

\begin{gathered} n=0.25\times8 \\ n=2 \end{gathered}

Therefore, the value of n is 2

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Solve the system of equations below by elimination. Write your answer as an ordered pair. e.g. (2,3)
Lyrx [107]

Answer:

(45,35)

Step-by-step explanation:

1 - Stack the equations on top of each other

3x - 4y = -5

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2 - We can eliminate by subtracting the bottom equation from the top equation

 3x - 4y = -5

- 4x - 4y = 40

3 - The y's cancel out, leaving us with...

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4 - Continue simplifying

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5 - We can switch the -1x with -x to make things simple

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6 - Positize (make it positive) the statement

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7 - Halfway there! Substitute the x value into one of the equations

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