5) So for parallelogram ABCD, ∠B ≅ ∠D, and ∠A ≅ ∠C. Further, ∠B and ∠A are supplementary (i.e., their sum is 180°), and ∠D and ∠C are also supplementary.
So, we have that m∠B = m∠D. Therefore,
Now, let's substitute for x back into the expression for either ∠B or ∠D to find it's angle measure.
m∠B =
Now, remember that ∠B or ∠D are supplements of ∠A.
So, m∠B + m∠A = 180°.
That means m∠A = 180° – 72° = 108°.
That seems reasonable, because A appears to be an obtuse angle.
Yes with a <span>58,016 Square Kilometers</span>
For two complex numbers
and
, the product is
That is, you multiply the moduli and add the arguments. You have
and
, so the product is
Answer:
a = 84°
b = 36°
c = 24°
d = 84°
e = 132°
Step-by-step explanation:
The parameters of the workers in the office are;
The number of staffs in the office = 60 staffs
The take-aways are pizza, curry, fish & chips, kebab and other
The frequency for the above take-aways = 14, 6, 4, 14, and 22 respectively
The variables for the angles representing the above take-aways on the pie chart = 'a', 'b', 'c', 'd', and 'e'; respectively
In order to find the size of the angles that represent each group of workers in the pie chart, we find the ratio of the group size to the total number of workers and we multiply the result by 360° as follows;
∠a = 360° × 14/60 = 84°
∠b = 360° × 6/60 = 36°
∠c = 360° × 4/60 = 24°
∠d = 360° × 14/60 = 84°
∠e = 360° × 22/60 = 132°
Answer:
square units.
Step-by-step explanation:
We have to use limits to find the area of the region bounded by the graph 
, the x-axis, and the vertical lines x=0 and x=1.
So, the area will be
A = 
= ![[4x - \frac{x^{4}}{2} ]^{1} _{0}](https://tex.z-dn.net/?f=%5B4x%20-%20%5Cfrac%7Bx%5E%7B4%7D%7D%7B2%7D%20%5D%5E%7B1%7D%20_%7B0%7D)
= 
= square units. (Answer)
