4(0.5n-3)=n-0.25(12-8n)
2n-12=n-3+2n
2n-12=3n-3
2n-3n=-3+12
-n=9
n = -9
Realize the tangent function has a period of 180°, so when your calculator (or memory) tells you
.. θ = arctan(-1)
.. θ = -45°
you can translate that value into the desired range by adding multiples of 180° to get the two solutions ...
.. θ = 135°
.. θ = 315°
<h3>a) Never</h3>
{All angles of a rectangle are right}
<h3>b) Always</h3>
{all sides of a rhombus are the same, 4×13=52}
<h3>c) Always</h3>
{oposite angles of a paralleogram are congruent}
<h3>d) Never</h3>
{parallel sides has the same slope}
<h3>e) Always</h3>
{square has all sides of the same length, so it is rhombus}
<h3>f) Sometimes</h3>
{Only if it has angles of 90°}
Answer:
y = -2x + 6
Step-by-step explanation:
Since we already have the slope we just need to find the y-intercept.
To do that just plug in the point you were given. (1,4)
4 = -2(1) + b (b represents the y-intercept)
4 = -2 + b (add 2 on both sides)
6 = b
y = -2x + 6 is the equation
Hope this helps!!
Although the answer choices are not complete, we may evaluate the probability of each event.
Total silver medals = 99
Great Britain's silver medals = 17
A should be 17/99
Total Russian medals = 82
Russian bronze medals = 32
B should be 32/82 = 16/41
Total gold medals = 137
Chinese gold medals = 38
C should be 38/137
Total US medals = 104
US silver medals = 29
D should be 29/104