Answer:
d = 28
r = 14
r² = 196
C = 87.92
Step-by-step explanation:
Given:
r = 14
To find diameter:
d = 2r
d = 2(14)
d = 28
To find r²:
14²
196
Circumference:
C = 2πr
C = 2(3.14)(14)
C = 87.92
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:
125 degree
Step-by-step explanation:
As m // n, so angle 2 and angle 6 is the same so angle 2 = 55 degree, then angle 1 + angle 2 = 180 degree, so angle 1 = 180 - 55 = 125 degree.
If it is helpful, please give me Brainliest.
Answer: Choice C. (x-7)(x-8)
-------------------------------------------------------
Find two numbers that...
* Multiply to 56 (last term)
* Add to -15 (middle coefficient)
Those two numbers are -7 and -8. So that's why x^2-15x+56 factors to (x-7)(x-8)
