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Dima020 [189]
2 years ago
5

Find the value of z.

Mathematics
1 answer:
omeli [17]2 years ago
8 0

Applying the angle of intersecting chords theorem, the value of z is: D. 100.

<h3>What is the Angle of Intersecting Chords Theorem?</h3>

According to the angle of intersecting chords theorem, in a circle like the one shown in the image above, where two chords intersect to form vertical angles, the theorem states that the angle formed equals half of the sum of the measures of the arcs intercepted by the angles.

Applying the angle of intersecting chords theorem, let's find x first:

73 = 1/2(96 + x)

Multiply both sides by 2

2 × (73) = 1/2(96 + x) × 2

146 = 96 + x

Subtract both sides by 96

146 - 96 = 96 + x - 96

50 = x

x = 50°

Therefore:

x + z + 96 + 114 = 360° [full circle measure]

Plug in the value of x

50 + z + 96 + 114 = 360

z + 260 = 360

Subtract both sides by 260

z + 260 - 260 = 360 - 260

z = 100°

The answer is: D. 100°.

Learn more about the angle of intersecting chords theorem on:

brainly.com/question/23732231

#SPJ1

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Find the equation of a circle centered on the origin going through the point (-5,3)
11111nata11111 [884]

The given center and point on the circle of (0,0) and (-5, 3), respectively

gives the equation of the circle as x^{2} +y^{2} =\sqrt{34}.

The general form of the equation of the circle is presented as follows

(x - h)² + (y - k)² = r²

Where,(h, k) is the center of the circle and r is the radius of the circle

Here (h, k) is centered about the origin and the radius of the circle

Radius of the circle = √[(-5-0)² + (3-0)²]

= √(25+9)

=√34.

The equation of a circle centered on the origin going through the point (-5,3)

x^{2} +y^{2} =\sqrt{34}

Learn more about the equation of a circle brainly.com/question/502872

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6 0
2 years ago
Which of the following angles is coterminal with 480°
Shtirlitz [24]
480⁰= 360⁰+120⁰
or
480⁰-360⁰=120⁰
You need to remove all 360 angles, sometimes it can be more than  one in it.

Coterminal angle is 120⁰.
8 0
3 years ago
rachel received a $70 gift card for a coffee store. she used it in buying some coffee that cost $7.44 per pound. after buying th
Natasha2012 [34]

Answer:

6 pounds.

Step-by-step explanation:

70-25.36= 44.64 (the amount of money she spent)

44.64/7.44 (per pound cost)= 6

3 0
4 years ago
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HELP! CORRECT ANSWER AND EXPLAINED ANSWER WILL GET 50 POINTS AND BRAINLIEST I PROMISE YOU! YOU JUST FAKE ANSWER AND GET POINTS I
lisabon 2012 [21]

Answer:

2.71554948

Step-by-step explanation:

<em> used meh brain </em>

6 0
3 years ago
Ok last question its very "hard" mods don't delete<br><br> what is 3x+12= 42
lys-0071 [83]

Answer:

x is 10.

Step-by-step explanation:

3x + 12 = 42

<em>Subtract 12 from both sides</em>

3x = 42 - 12

<em>Subtract 12 from 42 to get 30</em>

3x = 30

<em>Divide both sides by 3</em>

x = 30/3

<em>Divide 30 by 3 to get 10</em>

x = 10

8 0
4 years ago
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