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:
A quadratic equation is some thing like
(x+2)^2
or
(x+2)(x+5)
In order to solve them, the most basic method is the FOIL method
F-First
O-Outside
I-Inner
L-Last
So for example
(x+2)^2
Which is basically
(x+2)(x+2)
So the first is the 2 Xs
(x+2)(x+2)
x*x=x^2
The outer is the x and the 2,
(x+2)(x+2)
2*x=2x
Now the Inner which is the 2 and the x
(x+2)(x+2)
2*x=2x
And finally the last which is the 2 and the second 2
(x+2)(x+2)
2*2=4
Now add them all up
X^2+2x+2x+4
Combine like terms
x^2+4x+4
There you have it
Do the same with every other quadratic equation
Answer:
(2.25 ; 0.5)
Step-by-step explanation:
Hi there!
The lateral area is the area of the figures connecting the bases. We have rectangles here. We'll need to find the area of each figure and add them together to find the lateral area.
WORK:
(2.8 x 12) + (8.1 x 12) + 2(4 x 12)
33.6 + 97.2 + 96
LA = 226.8 units^2
Hope this helps!! :)
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