Answer:
x=133
Step-by-step explanation:
Given: m║n
This means that 147 and x+14 are <em>alternate exterior angles</em>. This also means that they are equivalent. We can use this information to set up an equation:
x+14=147
Subtract 14 from both sides to isolate x
x=133
Answer:
(0, -2)
Step-by-step explanation:
The y-intercept is where the graph crosses the y-axis when x = 0. As shown in the graph, when x = 0, y = -2, so your answer is (0, -2).
Answer:
180
Step-by-step explanation:
add 1% to 31.50 to get 31.815
then take the total 5276.70 and divide by 31.815
Answer:
104.8 in^2
Step-by-step explanation:
There are 2 ways to solve this problem.
The 1st way:
Let's make 2 triangles and 1 rectangle:
Rectangle Length = 8.3
Rectangle Width = 8
So, the left out length will be 17.9 - 8.3
=> 9.6
Since, 9.6 cm is for 2 parts.
=> 9.6 / 2
=> 4.8
So, Height of the Triangle = 8
Base of the triangle = 4.8
Area of a rectangle
=> 8.3 x 8
=> 66.4
Area of the triangle
=> 1/2 x 8 x 4.8
=> 4 x 4.8
=> 19.2
There are 2 triangles:
=> 19.2 x 2
=> 38.4
=> 66.4 + 38.4
=> 104.8
The area of the trapezoid = 104.8 in^2.
The 2nd way is:
Area of a trapezoid
=> Smaller Base + Larger Base / 2 x Height
=> 8.3 + 17.9 / 2 x 8
=> 26.2 / 2 x 8
=> 13.1 x 8
=> 104.8
The area of the trapezoid is 104.8 in^2
The upper 70th percentile is the number below which 70% of the data lie.
The 70th percentile position is given by:

Thus, the 70th percentile position is approximately the 25th data item (after the data has been arranged in acsending order).
Given the following data:
<span>16 24 25 26 27 29 36 39 39 39 40 44 45 47 47 48 50 51 51 53 53 54 57 58
58 60 65 66 67 69 69 71 72 74 74 74
The 25th data in the data set is 58.
Therefore, the upper P70 is 58.
</span>