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
Answer:
8+7=15 15x150=0.1
Step-by-step explanation:
If an object has a density of less than 
g/ml, the object will float in water.
So, fourth option is correct
The object with density less than g/ml will float, and the object with a density more than g/ml will sink.
So, if an object has a density of less than g/ml, the object will float in water.
Therefore, fourth option is correct
Learn more about density here:
brainly.com/question/3049000?referrer=searchResults
Answer:
1. 25
2. 10
3. 250
Step-by-step explanation:
Distance formula :√ (x2 - x1)² + (y2 - y1)² √ ()² + ()²
1. LENGTH OF AB :
A = 15,18
B = -5,3
√ (-5 - 15)² + (3 - 18)²
= √ 400 + 225
= 25
2. LENGTH OF AD :
A = 15,18
D = 21,10
√ (21 - 15)² + (10 - 18)²
= √36 + 64
= 10
AREA :
A=w x l
10 x25 = 250
Answer:
see the pic for the steps
