Answer:
A pentagon.
Step-by-step explanation:
A pentagon is a 5-sided polygon. Its interior angles each are equivalent to 108°.
108° ≥ 90°, so the angles are obtuse.
Therefore, a 2-D shape with 5 obtuse angles is a <u>pentagon</u>.
{ y = 4 - x
y = x - 4
Subsititute y = x - 4
[ ( x - 4 )] = 4 - x ]
isolate x for ( x - 4 ) = 4 - x
x = 4
For y = x - 4
Subsititute<span> x = 4
</span>
y = 4 - 4
y = 0
Solution
x = 4 and y = 0
hope this helps!
Answer:
4/3
Step-by-step explanation:
Moving from (-4, -9) to (5, 3), x (the 'run') increases by 9 from -4 to 5, and y (the 'rise') increases by 12 from -9 to +3. Thus, the slope of the line connecting the two points is
m = rise / run = 12/9 = 4/3
It may help to think of the change in x (9) as the horizontal leg of a right triangle and the change in y (12) as the vertical leg. Then
m = (vertical leg length) / (horizontal leg length) = 12/9 = 4/3
Answer:
0.0001
Step-by-step explanation:
The computation of the probability of experiencing such a drop in water pressure is shown below:
Given that
mean = 519,645 gallons
Standard deviation = 71,564 gallons
Now the probability is
= 1 - p (x - mean ÷ standard deviation < 782,238 - 519,645 ÷ 71,564)
= 1 - p(z<3.67)
= 1 - 0.9999
= 0.0001