The diagnonals of a parallelogram bisect each other ,
so
=》 BD = 3x × 2
=》BD = 6x
and there's given that
=》

=》

=》

=》

so, if x = 4 , then the given quadrilateral is a parallelogram.
Answer:
Supplement of <1 = 122°
Supplement of <2 = 156°
Step-by-step explanation:
Two pairs of angles are said to be supplementary, if their measures in degrees add up to give us 180°. A supplement of am angle is simply 180° - the measure of that angle.
Given that meadure of angle 1 = 58°, the supplement of angle 1 = 180° - 58° = 122°
Also, if the measure of angle 2 = 24°, the supplement of angle 2 = 180° - 24° = 156°.
Thus:
Supplement of <1 = 122°
Supplement of <2 = 156°
Answer:
3
Step-by-step explanation:
Answer:
f(x) = 8(1/2)^x.
Step-by-step explanation:
According to the graph, there is a point at (0, 8) and (1, 4).
That means that when x = 0, y = 8.
8 = a(b)^0
1a = 8
a = 8
That means that a = 8, and when x = 1, y = 4.
4 = 8(b)^1
4 = 8b
8b = 4
b = 4/8
b = 1/2
So, f(x) = 8(1/2)^x.
Hope this helps!
Answer:
32.4
Step-by-step explanation:
prior + 8.1 = 40.5 . . . . . . seems to model the problem statement
prior = 32.4 . . . . . . . subtract 8.1 from both sides
Prior to the increase the percent was 32.4.
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<em>Comment on the problem statement</em>
When you're talking about a percentage increase in a percentage, it is almost never clear whether you're talking about the percentage of the underlying number, or the percentage of the percentage.
Here, we assume the 8.1 is a percentage of working students, not a percentage of the percentage of workings students. If you actually intend the latter, the percentage before the increase was about 37.465%.