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Dima020 [189]
1 year ago
5

Find the value of z.

Mathematics
1 answer:
omeli [17]1 year 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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Mariulka [41]

Answer:

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3 years ago
PLEASE HELPPP!!!! Will give brainiest!!!!
Lady_Fox [76]

Answer:

  • 0.008 °C

Explanation:

<u>1) Write the changes in the temperature of the city over the 4 days in an easy way to read.</u>

<u />

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<u />

<u>2) Write the expression to show the average daily change in temperature.</u>

The average of a set of data is calculated with the expression:

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Hence, you need to add the four change of temperature data and divide by 4.

The expression is:

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<u>3) Write the steps to solve the expression:</u>

You can choose between adding  fractions or adding the decimal forms of the numbers.

If you choose adding decimals, keep the complete decimals in your calculator, to avoid the accumulation of errors due to rounding. Round only the final result.

These are the steps.

<u>a. Find the decimal forms of the fractions:</u>

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  • 4 /9 ≈ 0.44444

<u>b. Add the four data:</u>

  • 1.34°C + (- 0.71428 °C) + (-0.75 °C) + 0.44444 °C ≈ 0.32019 °C

<u />

<u>c. Divide the sum by the number of data (4)</u>

  • 0.32019 °C / 4 ≈ 0.080004 °C

<u>4. Round to the nearest hundredth</u>

The place of the hundreth is the second after the decimal point, which is 8 in this case:

  • 0.080004 °C ≈ 0.08 °C

7 0
3 years ago
A. x-int:-0.5,y-int:1<br>B. x-int:0.5,y-int:1<br>C. x-int:-0.5,y-int:-1<br>D. x-int:1,y-int:0.5
hodyreva [135]
The correct answer is:  [D]:  " <span>x-int : 1 ,  y-int:  0.5  " .
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Note:
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In other words, what is (are) the point(s) of the graph at which "x = 0<span>" ?
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In other words, what is (are) the point(s) of the graph at which " y = 0 <span>" ?
</span>
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So; the "x-intercept" is at point:  "(0.5, 0)" ; or, we can simply say that the 
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           Answer choice:  [D]:  </span>" x-int: 1 , y-int: 0.5  " .
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dezoksy [38]

Answer:

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7 0
2 years ago
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goblinko [34]
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