Answer:
x = 132°
Step-by-step explanation:
The sum of the interior angles of a polygon is
sum = 180° (n - 2) ← n is the number of sides
A hexagon has 6 sides, thus n = 6
sum = 180° × 4 = 720°
Sum the given interior angles and equate to 720
x + 108 + 113 + 132 + 75 + 160 = 720, that is
x + 588 = 720 ( subtract 588 from both sides )
x = 132°
Answer:
0.98
Step-by-step explanation:
Explanation
The investment of $10,000 decreases by 2% every year. So the following year is usually (100 - 2)=98% of the previous year. This is a geometric progression.
In this case the first term = 10000
The second term = 98% × 10000 = 9800.
The common ratio = 9800/10000=49/50
The multiplicative rate of change that should be in Hal’s function = 49/50=0.98.
The equation of the exponential rate would be;
10,000ₓ0.98ⁿ.
where n is the number years.
Answer:
s₁ > s₂
Is accurate comparison
Step-by-step explanation:
If we have two different point for a straight line the slope of such line is given by:
P₁ = ( x₁ , y₁ ) P₂ = ( x₂ , y₂ )
The slope of the line is
s₁ = (y₂ - y₁ ) / ( x₂ - x₁)
Then for the pairs of points:
P₁ (2 , 50 ) and P₂ ( 4 , 100)
y₂ - y₁ = 100 - 50 ⇒ y₂ - y₁ = 50
and
( x₂ - x₁ ) ⇒ 4 - 2 = 2
Then
s₁ = 50/2
s₁ = 25
In the second case
Points
P₁ ( 2 , 40 ) P₂ ( 4 , 80 )
s₂ = (y₂ - y₁ ) / ( x₂ - x₁)
y₂ - y₁ = 80 - 40 = 40
x₂ - x₁ = 4 - 2 = 2
s₂ = 40/2
s₂ = 20
Then
s₁ > s₂
Is accurate comparison
Answer:
A
Step-by-step explanation:
It would be A, because the two bisector lines that cut through this trapezoid are the same length, so 5.9-4.1=1.8. So the length of RN would be 1.8. Hope this helps!
