Answer:
The last option: 3 x (7 + 2) = (3 x 7) + (3 x 2)
Step-by-step explanation:
There is addition on the inside, and you are distributing the multiplication from the outside.
Answer:
B) 686 cubic units
Step-by-step explanation:
If one cube has a side length of 7, then it equals to 343 cubic units. Since there are 2 cubes, this translates to 686 cubic units.
Answer:
A. The graph is not proportional, although it has a consistent slope, it does now go through the point of origin or (0,0). The equation of a proportional line is y=kx, so the y-intercept must be at (0,0).
B. Slope is found by
, from 1 point to the next, the y-value (rise) increases by 2 and the x-value (run) increases by 1,
giving us a slope of 4.
C. The y-intercept is the lines point of intersection with the y-axis. In the graph, this point is (0,10).
D. y = mx + b is the slope-intercept form where m is the slope and b is the y-intercept, the slope (m) is 4 and the y-intercept (b) is 10. y = 4x + 10
E. The equation is not proportional because the b value is 10 rather than 0.
For a better understanding of the solution/explanation given here please go through the diagram in the file attached.
By definition, an angle bisector is a ray that divides an angle into two congruent angles.
In our question we have been given that GJ is the ray that is the angle bisector and that has been shown in the diagram.
Now, since,
, therefore, the ray
will divide the original angle
into two congruent angles,
and
. Since, the division is equal, the values of both these angles will be half of the original angle. Thus, we will have:

Thus, the required value of 