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:
The maximum number of chocolate rabbits that can be made from 16 chocolate bars = 27
Step-by-step explanation:
3 chocolate bars can make at most 5 chocolate rabbits.
Therefore, maximum number of chocolate rabbits that can be made from 3 chocolate bars = 5
Now, we are given 16 chocolate bars and need to find maximum number chocolate rabbits that can be made from the given number of chocolate bars.
Hence, The maximum number of chocolate rabbits that can be made from 16 chocolate bars = 27
24/27 = (24 ÷ 3)/(27 ÷ 3) = 8/9
The <em><u>correct answers</u></em> are:
3/2 - expansion; 1/4 - contraction; 4 - expansion; 0.8 - contraction; -3 - expansion.
Explanation:
A scale factor larger than 1 would be an expansion. The factors we have listed that are larger than 1 are 3/2 and 4.
A scale factor between 0 and 1 would be a contraction. The factors we have listed that are between 0 and 1 are 0.8 and 1/4.
A negative scale factor will result in a larger, inverted figure. This means the scale factor of -3 will be an expansion.
