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°.
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Answer:
I think A, but i'm not the smartest
Step-by-step explanation:
<span>(x – 8)² + (y – 9)² = 3
(x – 8)² + (y – 9)² = 14
</span>are the correct answers
Answer:
13.
Step-by-step explanation:
If each of the first 12 guests happens to be born in a different month, the 13th person will have to be born in the same month as one of the first 12.
Answer:
192 ounces does she weigh in ounces.
Step-by-step explanation:
Unit rate defined as the rates expressed as a quantity of 1, such as 3 feet per second or 8 miles per hour, they are called unit rates.
As per the given statement: Your cat weighs 12 pounds.
We have to find the cat weighs in ounces.
Use conversion:
1 pound = 16 ounces.
⇒
then by definition of unit rate;
Substitute the given values we have;
= 192 ounces
therefore, your cat weighs in ounces is, 192 ounces
