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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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Rom4ik [11]

Answer:

Arccos(0.9272) =0.383929333 radian

0.383929333 radian =(0.383929333*57.2957795)degrees

so, 21.99 degrees

Step-by-step explanation:

Rounding to the nearest we get 22 degrees

We know that,

1 radian is equal to 57.2957795

so we multiply the radian value 0.383929333 with it

6 0
2 years ago
martin climbs 3 1/3 meters in the first 1/6 hour alexia climbs 17 1/2 meters in the first 5/6hour what is the rate martin and al
Yuri [45]
Rate is given by:
rate=(distance )/(time)
Martin's rate will be:
(3 1/3)/(1/6)
=(10/3)/(1/6)
=20 meters per hour

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(17 1/2)/(5/6)
=(35/2)/(5/6)
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7 0
3 years ago
COMPLETING THE SQUARE<br> X^2– 2x +
Studentka2010 [4]

Answer:

x^2 -2x + 1

Step-by-step explanation:

Think of a quadratic equation as

ax^2 + bx + c

x^2 -2x +

Comparing the two equations

a = 1 ,  b = -2,  c = ?

c becomes the missing part

Divide b by 2

-2/2 = -1

square the result

-1^2

= 1  this is what to add to get a perfect square

x^2 -2x + 1

(x - 1)^2

6 0
3 years ago
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lesantik [10]

Answer:

A. y = 3x/4

Step-by-step explanation:

 a proportional relationship between x and y is a straight line passing through the origin (0, 0).

The equation must be in the form y = kx.

y = 3x/4

y = 3/4x

8 0
3 years ago
Multiplying a certain even number by 4 then subtracting 16 gives you the next consecutive even number. Find the original number
anyanavicka [17]

Let 2k represent the original even number (such that k is an integer)

then 2(k + 1) is the next consecutive even number.

4(2k) - 16 = 2(k + 1)

8k - 16 = 2k + 2

6k = 18

k = 3

since 2k represents the original number, then 2(3) = 6 is the oroginal number

Answer: 6

3 0
3 years ago
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