1/5 is the simplest form of the fraction
Answer:
Step-by-step explanation:
3x+17=2x+23
5x=40
40/5=8
x=8
Answer:
Step-by-step explanation:
Using the Z theorem, the upper angle on the right = 60 degrees.
The angle which includes 3x is 120 because this is a parallelogram and consecutive angles must add to 180. So 180 - 60 = 120
The angle above the 3x is 120 - 3x
120 - 3x + 90 + 2x = 180 These angles make a straight line line. Combine.
210 - x = 180 Subtract 210 from both sides.
- x = 180 - 210 Combine
-x = - 30 Multiply both sides by - 1
x = 30
Answer:
Step-by-step explanation:
1) First, find the slope of the line by using two points on the graph. We can see that (0,5) and (4,0) are clearly marked on the line, so let's use those points. Use the slope formula 
and substitute the x and y values of those points into it, then simplify:
So, the slope is 
.
2) Now, identify the y-intercept on the graph. The y-intercept is the point at which the line intersects the y-axis. By reading the graph, we can see that the line intersects the y-axis at (0,5), so that must be the y-intercept.
3) Substitute values for 
and 
in the slope-intercept formula, 
, to write the equation of the line. Since represents the slope, substitute for it. Since represents the y-intercept, substitute 5 in its place. This gives the following answer and equation in slope-intercept form:
