Answer:
21°
Step-by-step explanation:
the angles of triangle abc has to = 180 so subtract the known angles to get 21
angles bca and daf have to be the same so its 21
we know that
in the right triangle of the figure
Applying the Pythagorean Theorem

therefore
the answer is the option
C) 
Answer:
y=-1/4x+5
Step-by-step explanation:
perpendicular lines have slopes that multiply to -1.
Our given line:
y=4x-5
the slope (m) in it is 4. To find the slope of the perpendicular line:
4m=-1
divide by 4
m=-1/4
the slope of the new line is -1/4
here's our equation so far:
y=-1/4x+b
Since the line will pass through the point (-4,6) we can use it to solve for b (y intercept)
so substitute (-4,6) into the equation
6=-1/4(-4)+b
6=1+b
5=b
the y intercept is 5
so our equation is:
y=-1/4x+5
hope this helps! :D
I believe the answer is 25.
Twenty-five is perfectly divisible by 5
If you divide it by 2,3, or 4 there is one left over.
So twenty-five is a reasonable answer
Answer:
The graph in the attached figure
Step-by-step explanation:
we have
----> equation A
----> equation B
Solve the system by graphing
Remember that the solution of the system is the intersection point both graphs
Using a graphing tool
The intersection point is (1,5)
see the attached figure
therefore
The solution of the system is the point (1,5)