Answer:
Step-by-step explanation:
∠CAB = 33 {alternate interior angles}
5x = 33 + 2x { exterior angle equals sum of opposite interior angles}
5x - 2x = 33
3x = 33
x = 33/3
x = 11
∠B = 2x = 2* 11 = 22
∠ECB = 5x = 5*11 = 55
Answer:
x=-1.125
Step-by-step explanation:
Answer: X = 3
Step-by-step explanation:
3(2-x)=5(2x-7)+ 2
First, distribute
6-3x = 10x -35 + 2
Now subtract and add
6+35-2= 10x-(-3x)
Which gives
39= 13x
X=3
Hope this helps!
Answer:
y = 1x + 2
Step-by-step explanation:
To fill in slope intercept form(y = mx + b) identify the initial value(b) and slope(m).
The initial value is the y coordinate when the x coordinate is 0. It is also known as the point where the line crosses the y axis. This point on the graph is (0, 2). So, the initial value is 2.
Slope is identified by finding a point on the graph that the line passes through and creating a right triangle to a point that is even with both point. Then, divide the y coordinate of that point by its x coordinate. One coordinate you could use is point (-2, 2). 2 divided by -2 is -1. But, since the line has a positive association, the slope is going to be a positive number. So, the slope is 1.
Now fill in the the slope intercept form.
y = mx + b ---> y = 1x + 2
Answer:
2/5 pound
Step-by-step explanation:
The first bag is 1/5 pound more than 3 pounds. The second bag is 1/5 pound less. The difference in weight is 1/5 +1/5 = 2/5 pounds.
If you'd like to see that as an equation, you could write ...
Δw = (3 +1/5) -(3 -1/5)
= (3 -3) +(1/5 -(-1/5))
= 0 +1/5 +1/5 = 2/5
The weight difference is 2/5 pounds.