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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Her error was that she thought 0.1 and 1/4 were negatives but they are still positive.
She also thought the larger the negative the greatest one. The smaller negative is the greatest because it's bellow 0.
To solve this you would first need to turn 1/4 into 0.25
It would start out with -2 cause that is the least. Then -1. Now its back to positive so the least to greatest would be normal.
So the real answer would be -2, -1, 0.1, 1/4
4 sweets cost 28p altogether
28÷4=7p for each sweet
If each sweet costs 7p, then 7 sweets would be multiplied by 7
7×7p=49p
7 sweets cost 49p
Answer:
You would have to write a multi step equation.
4x+13=37