Answer:
n=42, m=42
Step-by-step explanation:
The side opposite the 30° angle is half the size of the hypotenuse. So, 84/2=42. Now, the side opposite the 60° angle is shown as 84/2 ·
, which is the same as 42√3.
20% of 2100 is 420
So the tax is $420
Then 2100-420= 1680
So he has $1680 left after paying the tax.
Answer:
r = 1
Step-by-step explanation:
slope = change in y / change in x, so:
change in y / change in x = 2/3
5 - r / 7 - 1 = 2/3
5 - r / 6 = 2/3

now solve this equation.
first, multiply both sides by 6 to get rid of the fraction:

subtract 5 from both sides

multiply both sides by -1

Translation 1 unit left and rotation of 90 degrees counterclockwise
Since it is a parallelogram cente at point T,
then the measure of PT is equal to the measure of TR. And the measure of QT is
equal to the measure of TS.
PT = TR
a + 4 = 2a
4 = 2a -a
a = 4
PT = TR = 8 units
QT = TS
b = 2b -3
3 = 2b – b
b = 3
<span>QT = TS = 3 units</span>