Answer: Explanation below.
Step-by-step explanation:
First of all you need to know how to convert a logarithm into an exponential expression. The property is:
This is the same as: 
Example 1:
We are trying to find what to raise 9 to, in order to get a result of 9.
When you have same bases, you equal exponents.
Therefore; 
Example 2:
In this case, we have to make sure both sides have the same base. 32 can have a base of 2 if expressed as: 
which is 2*2*2*2*2
Rewriting this example we have;
Since we have the same base, we equal exponents.
Therefore; 
Example 3:
729 can have a base of 3 if expressed as: 
Answer: x = 3
Step-by-step explanation: Since this line has no slope, it must be vertical.
The equation of a vertical line through a given point can
always be written x = the x-coordinate of the given point.
So the answer to this problem is x = 3.
Answer:
Step-by-step explanation:
A. True. Vertical angles have equal measure.
B. False. 12x-18=8x+10 -> x=7 -> the angles measure 66 degrees.
C. True. They're formed by a pair of intersecting lines.
1/3 • 12= 12/3. 12/3=4. So she needs 4 ounces of cheese for a pound of pizza.
Answer:
The correct option is 1.
Step-by-step explanation:
Statement Reasons
1. AB is parallel to DC and Definition of parallelogram
AD is parallel to BC
2. angle 1 = angle 2, If two parallel lines are cut by a
angle 3 = angle 4 transversal then the alternate
interior angles are congruent
3. BD = BD Reflexive Property
4. 
ASA postulate
5. AB = DC, AD = BC (CPCTC)
If two angles and the included side of a triangle are congruent to the corresponding angles and side of another triangle then the triangles are congruent by ASA postulate.
According to alternate interior angles theorem, two parallel lines are cut by a transversal then the alternate interior angles are congruent.
Therefore option 1 is correct.
