Answer:
m<N = 32°
m(NQ) = 106°
Step-by-step explanation:
Inscribed angle = ½ of the measure of the intercepted arc (inscribed angle theorem)
<N is an inscribed angle
It's intercepted arc = arc MP = 64°
Therefore,
m<N = ½(64°)
m<N = 32°
m<P = ½(m(NQ)) (inscribed angle theorem)
53° = ½(m(NQ))
Multiply both sides by 2
2*53° = m(NQ)
106° = m(NQ)
m(NQ) = 106°
Answer:
x = 5
y = 7
Step-by-step explanation:
<em>Since they are both equal to </em><em>y</em><em>, we can set them equal to each other.</em>
2x - 3 = x + 2
<em>Combine like terms and isolate the </em><em>x</em><em>.</em>
x = 5
<em>Plug in the x to either equation to get the value of </em><em>y</em><em>.</em>
y = (5) + 2
y = 7
Answer:
[rad] 2.41
Step-by-step explanation:
Since it gave you the point and the angle to find, you simply just have to solve for the inverse of cot. Remember cot is the opposite of tan, so cot is cos/sin. In that case, we plug into the calc (in radians):
cot^-1(-√5/2)
And we should get 2.41 as our answer!
Answer:
D
Step-by-step explanation:
for example point (2,0) is one of the solutions.
=> x + 2y <4
2+ 2(0) = 2 => 2< 4 (true)
=> 3x – y > 2
3(2)-0= 6 => 6>2 (true)
so, the option D is the correct one
