<em>So</em><em> </em><em>the</em><em> </em><em>answer</em><em> </em><em>is</em><em> </em><em>3</em><em>m</em><em>^</em><em>2</em><em>n</em><em>^</em><em>5</em>
Answer:
x = 8
y = 6
Step-by-step explanation:
Recall that one of the properties of a parallelogram is that the diagonals bisect each other, which means they divide each other into equal segments.
Therefore,
LP = PN
x = y + 2 (eqn. 1)
PM = KP
2x - 8 = y + 10 (eqn. 2)
Substitute x = y + 2 into eqn. 2 to find y
Thus:
2(y + 2) = y + 10
2y + 4 = y + 10
Take like terms
2y - y = -4 + 10
y = 6
Substitute y = 6 into eqn. 1 to find x:
x = y + 2 (eqn. 1)
x = 6 + 2
x = 8
9514 1404 393
Answer:
$67,200
Step-by-step explanation:
The amount if interest is given by the formula ...
I = Prt
where P is the amount invested, r is the annual rate, and t is the number of years. Here, we want to find P when r = 0.05 and t = 1/2 such that I = 1680.
P = I/(rt) = $1680/(0.05·0.5) = $1680/0.025
P = $67,200
The amount invested was $67,200.
we know that
If line WX is perpendicular to line YZ
then
see the attached figure to better understand the problem
m∠WVY=90°--------> 4a+58=90-----> 4a=90-58-----> a=32/4------> a=8°
m∠XVY=90°--------> 2b-18=90----> 2b=90+18------> b=118/2-------> b=59°
therefore
<u>the answer is</u>
a) The value of a is 8 degrees
b) The value of b is 59 degrees
Answer:
c = 4n
Step-by-step explanation: