Step-by-step explanation:
since the triangle CDE is an isoceles triangle (the 2 legs DC and DE are equally), the 2 angles at its baseline CE are equal.
combined with the fact that the sum of all angles in a triangle is always 180 degrees we can therefore say :
180 = 32 + 2× base angle
148 = 2× base angle
base angle = 74 degrees.
the angle DEC is one of these base angles and therefore 74 degrees.
and because of the symmetry of angles of crossing lines, this is equal to the angle AEB.
the triangle AEB is also an isoceles triangle. the angle A is one of its base angles at the baseline AB.
so, the same principle as before :
180 = 74 + 2× base angle
106 = 2× base angle
base angle = 53 degrees.
so, angle A is 53 degrees.
Total monthly rental is <span>$4,950</span>. ... Thus, total rental for one bed apartments is x*360 (=360x)
Answer:
The following graph has no solution.
Step-by-step explanation:
Since , we are given a system of inequalities as:
x+y>4
and x+y<3
So from the two in equalities we could clearly see that in one the sum of x+y>4 while in the other the sun x+y<3 which is not possible.
This could also be seen from the graph.
The graph will not have any common region and are parallel lines.
Hence, the graph has no solution.
Answer:

Step-by-step explanation:
Given: In a parallelogram ABCD, diagonals intersect at O and ar(ABCD) is
.
We need to find the area of triangle AOB.
We know that each diagonal divide the parallelogram in two equal parts and diagonals bisect each other.
It means both diagonals divide the parallelogram in 4 equal parts.



Hence, the values of ar(AOB) is
.
Answer:
The approximate sample proportion is 0.59, which means that 41% of the subscribers surveyed most often listen to music somewhere other than in a vehicle.
Step-by-step explanation:
i got this from edmentum lol