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Andrei [34K]
3 years ago
14

Find the value of x.

Mathematics
1 answer:
Alik [6]3 years ago
5 0

Answer:

x =15

Step-by-step explanation:

In \odot D, AB and AC are chords which are equidistant from the center of the circle.

\therefore Chord \: AB \cong Chord\: AC

\therefore m \widehat {AB} = m\widehat {AC}

(Equal chords intercept equal arcs)

\because m \widehat {AB} = (10x-23)\degree

\therefore m \widehat {AC} = (10x-23)\degree

m \widehat {AB} +m \widehat {AC} +106\degree = 360\degree

(Arc sum postulate of a circle)

(10x-23)\degree + (10x-23)\degree= 360\degree- 106\degree

2(10x-23)\degree = 254\degree

(10x-23)\degree = 127\degree

10x-23 = 127

10x = 127+23

10x = 150

x = \frac {150}{10}

x =15

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Which shows the equation below.....
sladkih [1.3K]
Option A is your answer. 

Subtract 3 from both sides to get zero on the right side of the equal sign. 

8 - 3 = 5. 

So that becomes your constant term in the equation. 
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There are 15 pieces of fruit in a bowl and six of them are apples. What percentage of the pieces of fruit in the Bowl are apples
aleksklad [387]

Answer:

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3 0
2 years ago
The graph represents the piecewise function
mr Goodwill [35]

The piece-wise function is defined as follows:

  • f(x) = x^2, 0 \leq x < 3.
  • f(x) = -\frac{5}{3}x + 14, 3 < x \leq 6.
  • f(x) = \frac{3}{2}x - 5, 6 \leq x \leq 10.

<h3>What is a piece-wise function?</h3>

A piece-wise function is a function that has multiple definitions, depending on the input.

In this graph, for x at least 0 and less than 3, the parabolic curve passes through (0,0), (1,1), (2,4) and has an open interval at (3,9), hence the definition is:

f(x) = x^2, 0 \leq x < 3

For x greater than 3 and at most 6, it is a line going through (3,9) and (6,4), hence:

m = \frac{9 - 4}{3 - 6} = -\frac{5}{3}

f(x) = -\frac{5}{3}x + b

Goes through (3,9), hence:

9 = -\frac{5}{3}(3) + b

b = 14.

So

f(x) = -\frac{5}{3}x + 14, 3 < x \leq 6

For x between 6 and 10, it is a line going through (6,4) and (10,10), hence:

m = \frac{10 - 4}{10 - 6} = \frac{6}{4} = \frac{3}{2}

Then:

f(x) = \frac{3}{2}x + b

When x = 10, f(x) = 10, hence:

10 = \frac{3}{2}(10) + b

10 = 15 + b

b = -5.

Hence:

f(x) = \frac{3}{2}x - 5, 6 \leq x \leq 10

More can be learned about piece-wise functions at brainly.com/question/24734454

#SPJ1

6 0
1 year ago
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