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nikitadnepr [17]
3 years ago
10

∠BEC is formed inside a circle by two intersecting chords. If minor arc BD = 94 and minor arc CA = 166, what is the measure of

Mathematics
1 answer:
igor_vitrenko [27]3 years ago
4 0
The complete question is
<span>∠BEC is formed inside a circle by two intersecting chords. If minor arc BD = 94 and minor arc CA = 166, what is the measure of ∠ BEC?

the picture in the attached figure

we know that
The angle formed inside of a circle by two intersecting chords is </span><span>the half-summit of the arcs that comprise it and its opposite.
so
</span>∠BED=(1/2)*[arc AC+arc BD]-----> (1/2)*[166+94]-----> 130°
∠BEC+∠BED=180°-----> by supplementary angles
∠BEC=180-130-----> 50°
<span>
the answer is
</span>∠BEC=50°<span>

</span>

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Can someone pls help me solve thiss
Nikolay [14]

Answer:

The value of x = 9

Step-by-step explanation:

Given the angles of the triangle

  • (13x+2)°
  • (5x-7)°
  • (3x-4)°

We know that the sum of angles of a triangle is 180°.

Therefore,

(13x+2)° + (5x-7)° + (3x-4)° = 180°

13x+2 + 5x-7 + 3x-4 = 180°

21x + 2 - 11 = 180°

21x - 9 = 180°

21x = 180° + 9

21x = 189

divide both side sby 21

21x/21 = 189/21

x = 9

Therefore, the value of x = 9

3 0
3 years ago
20 points! Help! Which of the following visual representations correctly displays a relationship between sets of real numbers? T
Contact [7]
<h2>Answer:</h2><h2>The correct option to the given question is J</h2>

Step-by-step explanation:

Real numbers are classified into two types,

(i) Rational numbers - A number which can be expressed as fraction, ratio or percentage is called as rational number

(ii)Irrational numbers - A number which is not rational, (i.e) cannot be expressed as a ratio or percentage is called as irrational number.

Since there are no common numbers in rational and irrational, they cannot be expressed as "G" option.

Real numbers are formed by the union of rational and irrational numbers.

4 0
3 years ago
Can anybody show me how to do this half angle identity problem STEP BY STEP? I always seem to be missing something
klio [65]

Answer:   \bold{-\dfrac{7\sqrt2}{10}}

<u>Step-by-step explanation:</u>

It is given that θ is between 270° and 360°, which means that θ is located in Quadrant IV ⇒ (x > 0, y < 0).  Furthermore, the half-angle will be between 135° and 180°, which means the half-angle is in Quadrant II ⇒ cos\ \dfrac{\theta}{2}

It is given that sin θ = -\dfrac{7}{25}  ⇒  y = -7 & hyp = 25

Use Pythagorean Theorem to find "x":

x² + y² = hyp²

x² + (-7)² = 25²

x² + 49 = 625

x²         = 576

      x   =  24    

Use the "x" and "hyp" values to find cos θ:

cos\ \theta=\dfrac{x}{hyp}=\dfrac{24}{25}    


Lastly, input cos θ into the half angle formula:

cos\bigg(\dfrac{\theta}{2}\bigg)=\pm \sqrt{\dfrac{1+cos\ \theta}{2}}\\\\\\.\qquad \quad =\pm \sqrt{\dfrac{1+\dfrac{24}{25}}{2}}\\\\\\.\qquad \quad =\pm \sqrt{\dfrac{\dfrac{25}{25}+\dfrac{24}{25}}{2}}\\\\\\.\qquad \quad =\pm \sqrt{\dfrac{\dfrac{49}{25}}{2}}\\\\\\.\qquad \quad =\pm \sqrt{\dfrac{49}{50}}\\\\\\.\qquad \quad =\pm \dfrac{7}{5\sqrt2}}\\\\\\.\qquad \quad =\pm \dfrac{7}{5\sqrt2}}\bigg(\dfrac{\sqrt2}{\sqrt2}\bigg)\\\\\\.\qquad \quad =\pm \dfrac{7\sqrt2}{10}

Reminder: We previously determined that the half-angle will be negative.

6 0
2 years ago
Help Hurry Please!!!!!!!!!
Sveta_85 [38]
The answer is
f(n)=6(3^n-1)
Which is the third option

Explanation :
Plug in the n values in the equation


Example : 6(3^1-1)
3^0=1
6(1)=6

I hope I helped
5 0
3 years ago
Other ways to write 50897
NARA [144]
Written form: fifty thousand eight hundred ninety-seven.

expanded form: 50000+800+90+7
3 0
3 years ago
Read 2 more answers
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