What are the other measurements?
Answer:
C
Step-by-step explanation:
Notice that there is a little triangle formed by the lines on the right side of the diagram.
Let's find the angle measures of the triangle. One of them has a supplementary angle of 96 degrees, which means that the actual interior angle is 180 - 96 = 84 degrees.
Another angle has a supplementary angle of 137, which means that the actual interior angle of the triangle is 180 - 137 = 43 degrees.
Finally, we have the expression 2x - 23, which is an exterior angle. By definition, this exterior angle is equal to the sum of the interior angles of the triangle that do not include its supplementary angle. In other words:
2x - 23 = 84 + 43
Now we just solve for x:
2x - 23 = 84 + 43 = 127
2x = 127 + 23 = 150
x = 150/2 = 75 degrees
The answer is 75 degrees, or C.
Answer:

Step-by-step explanation:
We are given that
Initially the difference between the cake's and the cooler's temperature ,a=50 degree Celsius

We have to find the function that gives the temperature difference in degrees Celsius D(t).
We know that

Substitute the values


This is required function that gives the temperature difference in degrees Celsius.
Step-by-step explanation:
A six sided dice contains even numbers on three sides and odd numbers on remaining three sides.
Therefore,
Probability of rolling an odd number

Answer:
D. 
Step-by-step explanation:
The point-slope form of a line is given by:

The line given to us has equation;
.
The slope of this line is -4. The of the line perpendicular to this line is the negative reciprocal of the slope of the given line.
Our slope of interest is therefore; 
Since the point goes through (-2,7), we have
.
We plug in the slope and the point into the point-slope formula to obain;

The required equation is:
