Answer:
The correct option is 1.
Step-by-step explanation:
The given expression is

The value of a is 1 and the value of b is 1.
According to the logarithm property,

Using this property, we get

The required expression is
.

![[\because log_aa=1]](https://tex.z-dn.net/?f=%5B%5Cbecause%20log_aa%3D1%5D)
Left hand side is equal to the right hand sides, therefore option 1 is correct.
Answer:
-1/5 I believe, since you go down one and to the right by 5.
Answer:
41°
Step-by-step explanation:
The angle addition theorem tells you ...
m∠MNR + m∠RNP = m∠MNP
Filling in the given values, you have ...
43° + m∠RNP = 84°
Subtract 43° from both sides of the equation to find the angle of interest:
m∠RNP = 84° - 43° = 41°
The measure of angle RNP is 41°.
Answer:
x = 200/3
Step-by-step explanation:
Apply Thales theorem, we have:
80/(2x) = 60/27
Let's simplify both sides:
40/x = 20/9
or
x/40 = 9/20
Multiplying both sides by 40, we have:
(40/40)x = (20/9)*40
Let's simplify one more time:
x = (20*40)/(9)
or
x = 200/3
Hope this helps!