Answer:
m = 0.36666666666667
Step-by-step explanation:
im not sure if im correct.
Answer:
67 degrees
Step-by-step explanation:
All angles in a triangle add up to 180 degrees. So...
23 + x + 90 = 180
113 + x = 180
x = 67 degrees
Answer:
11.4
Step-by-step explanation:
So we know that Triangle ACB is similar to Triangle EFD.
This means that their sides are proportional to each other.
We want to find x or side AB. To do so, we can set up a proportion.
The proportional side to AB is ED. Let's also use BC since we know its value. The proportional side to BC is DF. Thus:

Substitute x for AB, 3.8 for Ed, 15 for BC, and 5 for DF. Thus:

Reduce the right:

Cross multiply:

So, the value of x is 11.4
And we're done!
Answer:
k=2/3
Step-by-step explanation:
Step 1:
Step 1 in solving the exponential equations is re-writing the base same as other side of the equation
so,

Step 2:
Second step is equating the exponents
The rule used is:

So in this case

So the solution is:
k=2/3 ..
The slope will be the difference between the y-coordinates divided by the difference between the x-coordinates:
then the slope of the line is: