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:
x=17
Step-by-step explanation:
3(x+8) = 7+4x
3x+24 = 7+4x
24 = 7+x
17=x
Answer:
Statistical
Step-by-step explanation:
This is a statistical question because we can accumulate data and determine the weight of spider monkeys and owl monkeys
Answer:
The first answer choice
Step-by-step explanation:
Formula for volume of a rectangular pyramid is V=lwh/3
Answer:
c=11.180
Step-by-step explanation:
formula to find the hypotenuse (c)= a^2+b^2=c^2
so... 10^2+5^2=c^2, please correct me if I'm incorrect, or made a mistake
100+25=c^2
125=c^2
square it and you get...
c=11.18033988...
c=11.180
