To get the midsegment, namely HN, well, we need H and N
hmm so.... notice the picture you have there, is just an "isosceles trapezoid", namely, it has two equal sides, the left and right one, namely JL and KM
the midpoint of JL is H and the midpoint of KM is N
thus
![\bf \begin{array}{lllll} &x_1&y_1&x_2&y_2\\ % (a,b) K&({{ 4q}}\quad ,&{{ 4n}})\quad % (c,d) M&({{ 4p}}\quad ,&{{ 0}}) \end{array}\qquad % coordinates of midpoint \left(\cfrac{4p+4q}{2}\quad ,\quad \cfrac{0+4n}{2} \right) \\\\\\ \left( \cfrac{2(2p+2q)}{2},\cfrac{4n}{2} \right)\implies \boxed{[(2p+2q), 2n]\impliedby N}\\\\ -----------------------------\\\\](https://tex.z-dn.net/?f=%5Cbf%20%5Cbegin%7Barray%7D%7Blllll%7D%0A%26x_1%26y_1%26x_2%26y_2%5C%5C%0A%25%20%20%28a%2Cb%29%0AK%26%28%7B%7B%204q%7D%7D%5Cquad%20%2C%26%7B%7B%204n%7D%7D%29%5Cquad%20%0A%25%20%20%28c%2Cd%29%0AM%26%28%7B%7B%204p%7D%7D%5Cquad%20%2C%26%7B%7B%200%7D%7D%29%0A%5Cend%7Barray%7D%5Cqquad%0A%25%20%20%20coordinates%20of%20midpoint%20%0A%5Cleft%28%5Ccfrac%7B4p%2B4q%7D%7B2%7D%5Cquad%20%2C%5Cquad%20%5Ccfrac%7B0%2B4n%7D%7B2%7D%20%5Cright%29%0A%5C%5C%5C%5C%5C%5C%0A%5Cleft%28%20%5Ccfrac%7B2%282p%2B2q%29%7D%7B2%7D%2C%5Ccfrac%7B4n%7D%7B2%7D%20%5Cright%29%5Cimplies%20%5Cboxed%7B%5B%282p%2B2q%29%2C%202n%5D%5Cimpliedby%20N%7D%5C%5C%5C%5C%0A-----------------------------%5C%5C%5C%5C)
A is equal to -1/2
B is equal to .866
C is equal to 1/2
D is equal to -.866
Therefore your correct answer is c
Step-by-step explanation:
Firstly, compound interest is defined as:
Where:
a = final amount
p = principal (original amount)
r = decimal rate of interest
n = repetitions per annum
t = number of years
Knowing this, we replace for the values stipulated and solve.
A. $13,370.07
B. $12180.87
Sum of all angles on one line is 180 degrees.
We have the exterior angle for one angle, so the interior angle = 180 - 136 = 44 degrees.
That angle is the same angle as the one to the right, because those two sides are the same, hence these two angles must be the same.
The sum of all angles in a triangle is 180 degrees. The remaining angle = 180 - 44 - 44 = 92 degrees.
The correct answer is: 44, 44, 92.
Answer:
x=4
Step-by-step explanation:
2x + 14 = 22
Subtract 14 from each side
2x+14-14 = 22-14
2x = 8
Divide by 2
2x/2 = 8/2
x = 4
