Answer:
m∠J =90°
m∠O = 140°
Step-by-step explanation:
We see here angle J having 90°, pure right angle shape.
m<J=90
Then we find the total interior angle using (n-2)*180
(4-2)*180
360°
So, m∠O = 360° - m∠J - m∠E -m∠K
m∠O = 360° - 90° - 80° -50°
m∠O = 140°
Answer:x=-7
Step-by-step explanation:
Answer:
x = 2
Step-by-step explanation:
The product of distances from the intersection of secants to the near and far intersections with the circle are the same. For a tangent, the near and far points of intersection with the circle are the same. This relation tells us ...
(2√3)(2√3) = x(x +4)
12 = x² +4x
16 = x² +4x +4 . . . . . add the square of half the x-coefficient to complete the square
4² = (x +2)² . . . . . . . . write as squares
4 = x +2 . . . . . . . . . . positive square root
2 = x . . . . . . . . . . . . . subtract 2
_____
<em>Alternate solution</em>
If you believe x to be an integer, you can look for factors of 12 that differ by 4.
12 = 1×12 = 2×6 = 3×4
The factors 2 and 6 differ by 4, so x=2 and x+4=6.
The correct answer is letter B, (6,-1).
When you substitute this ordered pair on the equations, you would found out is the correct one.
Answer:
Volume = 144 m³
Step-by-step explanation:
Volume of triangular prism = ½*b*h*l
Where,
Base of triangular base (b) = 4 m
Height of triangular base (h) = 12 m
Length of prism (l) = 6 m
Volume = ½*4*12*6
Volume = 2*12*6 = 144 m³
