Answer:
The answer is, D. 20 inches
hope this helps :)
Answer:
A 3^4 * 3^-4 / 3^6
C 1 / 3^6
Step-by-step explanation:
( 3^2 * 3^-2)
------------------- all the the power of 2
3^3
First simplify the numerator
We know a^b* a^c = a^(b*c)
( 3^(2+-2))
------------------- all to the power of 2
3^3
( 3^(0))
------------------- all to the power of 2
3^3
( 3^(0))
------------------- all to the power of 2
3^3
We know a^b/ a^c = a^(b-c)
3^(0-3) all to the power of 2
3^-3 all to the power of 2
3^-3 ^2
We know that a^b^c = a^(b*c)
3^(-3*2)
3^ -6
We know the negative exponent takes if from the numerator to the denominator
1 / 3^6
The other correct choice is A
3^4 * 3^-4 = 3^0 which is 1
1/3^6 is the same answer
Answer:
m∠MON = 15°
Step-by-step explanation:
The given parameters are;
m∠LON = 77°
m∠LOM = 9·x + 44°
m∠MON = 6·x + 3°
By angle addition postulate, we have;
m∠LON = m∠LOM + m∠MON
Therefore, by substituting the known values, we have;
∴ 77° = 9·x + 44° + 6·x + 3°
77° = 9·x + 44° + 6·x + 3° = 15·x + 47°
77° = 15·x + 47°
77° - 47° = 15·x
15·x = 77° - 47° = 30°
15·x = 30°
x = 30°/15 = 2°
x = 2°
Given that m∠MON = 6·x + 3° and x = 2°, we have;
m∠MON = 6 × 2° + 3° = 12° + 3° = 15°
m∠MON = 15°.
Answer:
(-10,-40)
Step-by-step explanation:
Here is a picture of the way I did it.
