First, we know this diagram consists of two horizontal lines cut by a transversal line. Therefore, we know that the given angle that measures 113° and the angle we want to find are alternate interior angles. Since all alternate interior angles are equal, we know the unknown angle must also be 113°.
I hope this helps.
Answer:

Step-by-step explanation:





Let p be 2p and q be 3q. The ratio formed by this will be

- <em>Thus</em><em>,</em><em> </em><em>Option</em><em> </em><em>A</em><em> </em><em>is</em><em> </em><em>the</em><em> </em><em>correct</em><em> </em><em>choice</em><em>!</em><em>!</em><em>~</em>
Given:
The table of values of an exponential function.
To find:
The missing values in the exponential function.
Solution:
The general exponential function is defined as:
...(i)
Where, a is the initial value and b is the growth factor.
First point from the given table is (1,10). It means, the equation (i) must be true for (1,10).
...(ii)
Second point from the given table is (2,20). It means, the equation (i) must be true for (2,20).
...(iii)
Dividing (iii) by (ii), we get


Putting
in (ii), we get



Putting
in (i), we get

The required exponential function for the given table of values is
. So, the missing values are 2 and x, where 2 is in the base and x is in the power.
Answer:
John has 9 baseball cards.
Step-by-step explanation:
To start off, we want to find the highest product of 12 without going over 117. Lets try out some problems...
What about 12x10? Well that equals 120 and since it goes over 117 that won't work.
What about 12x9? That equals 108. This is below 117. Since we know that Cara has 12 times more baseball cards than John has, we simply add 9 to 108 and it gives us 117 total baseball cards.
This means, John has 9 baseball cards.