This hexagon is split into two congruent trapezoids. You can find the area of one trapezoid and then double it to get the area of the entire hexagon. The formula for area of a hexagon is A = a + b / 2(h), where a and b are the base lengths and h is the height. The given values are as follows:
a = 40
b = 60
h = 24
Let's plug them in and solve.
A = a + b / 2(h)
A = 40 + 60 / 2(24
A = 100 / 2(24)
A = 50(24)
A = 1200
Remember we have to double the area of the trapezoid to get the area of the whole hexagon.
1200 × 2 = 2400
Answer:
The area of the hexagon is 2,400 in².
Empirical rule dictates that, in a Bell-shaped distribution, 95% of data lies within 2 standard deviation on either side of the mean.
Therefore,
Lower value = mean-2SD = 70-2*8 = 70-16 = 54
Upper value = mean+2SD = 70+2*8 = 70+16 = 86
Then, 95% of the data lies between $54 and 84. These values can also be taken as the true mean of the population considering 95% confidence when sample mean has been calculated. In this regard, 2SD can be regarded as the margin error.
When you have parallel lines same side interior angles add up to 180 degrees.
Let the first SSI (same side interior) angle be x, and the other SSI be (x - 20).
Therefore, x + (x - 20) = 180
2x - 20 = 180
add 20 to both side
2x = 200
divide both sides by 2
x = 100
x - 20 = 100 - 20 = 80
Answer/Step-by-step explanation:
a. Angle y is vertically opposite the angle that measures 80°. Vertically opposite angles are said to be equal to each other, therefore, y = 80°
x + y + 50° = 180° (sum of angles in a ∆)
x + 80° + 50° = 180 (substitution)
x + 130° = 180°
x = 180° - 130° (subtracting 130 from each side)
x = 50°
b. x + 50° = 120° (sum of the 2 opposite interior angles in a ∆ = the exterior angle of the ∆)
x = 120 - 50 (subtracting 50 from each side)
x = 70°
y + x + 50° = 180° (sum of angles in a ∆)
y + 70° + 50 = 180° (substitution)
y + 120° = 180°
y = 180 - 120 (subtracting 120 from each side)
y = 60°
Answer:
4.5
Step-by-step explanation:
43-32+2-4= 9
9/2= 4.5
