This is the area of a trapezoid and the formula for that is:
.5(h)(b1 + b2) where h is height and b1 and b2 are the base length or the length of the parallel sides. therefore, our area is:
.5(16)(6+12)
8(18)
144
if you're wondering why the area formula works, construct another trapezoid but this time upside-down. now flip it along it's height axis so you can align one of the side lengths of the 2 trapezoids and you have a parallelogram.
the base of this parallelogram is b1+b2 of the original trapezoid and the height still remains h so the area of this parallelogram is (h)(b1 + b2). however, we want to find the area of the trapezoid but we find that the parallelogram is twice the area of our trapezoid so the area of the trapezoid is half the area of the parallelogram. so area = .5(h)(b1 + b2).
let me know if you have any questions!
Hi there!
Since one of the angles in this set of 2 lines is a right angle, we know that every other angle is a right angle because vertical angles are congruent and that because each line has a total of 180 degrees.
Thus, Angle NDA and RDY are both 90 degrees and add up to 180 degrees.
Since the two angles add up to 180, they are supplementary angles.
Also, we should notice that those two angles are across each other. Thus, they are also vertical angles.
Your answers are choices B and C.
Have an awesome day! :)
Each week, there are 24+12x more new instances recorded than there was the previous week which is increasing exponentially.
There were 24 cases of flu reported in a city's hospital on January 4.
In the next 5 weeks, the number of new cases reported each week had grown exponentially.
Let "A" represent the number of flu cases at time "t." Any population "A" grows exponentially over time at a rate of "t." The beginning population directly affects the rate of population change.
dA/dt = k( T - 24 )
T- 24 = c × 
[Differentiate with 't']
T = 24 + c ×
After 1 week T = 36 and t = 1
36 - 24 = c × 1
c = 12
T = 24 + 12x.
Therefore, 24 + 12x new instances have been reported each week, increasing exponentially.
Learn more about the exponential rate of change here:
brainly.com/question/11845213
#SPJ1
Answer:
7x -4
is the answer for that question
<span> x/3-2=7
---------------------
SImplify
1/3x - 2 = 7
--------------------------
add 2 to each side
1/3x - </span><span><span>2 </span>+ 2 </span>= <span>7 + <span>2
1/3x = 9
------------------------------
Multiply each side by 3
3 * (1/3x) = 3 * 9
x = 27</span></span>
