Answer:
75
Step-by-step explanation:
The measure of two supplementary angles = 15:21
The angles are 15x , 21x
15x + 21x = 180 {Supplementary}
36x = 180
x = 180/36
x = 5
Smallest angle = 15 * 5 = 75
One side of the rectangle is x=2, the other side is 2x-5
Add up all the four sides: (x+2) +(x+2)+(2x-5)+(2x-5)=54
6x-6=54
x=10
#3: suppose the first integer is x, then the second one is x+2
x(x+2)=255
x^2 +2x -255 =0
factor the quadratic equation: (x+17)(x-15)=0
x=-17, which is impossible, or x=15
so the two positive integers are 15 and 17
Answer:
38.72%
Step-by-step explanation:
Estimated attendance = 1,000
The actual value of attendance = 1,632
We need to find the percent error of Shaun's estimate. Using the formula as follows :

Put all the values,

So, the percent error of Shaun's estimate is 38.72%.
Answer:
322.28
A
Step-by-step explanation:
Area of the rectangle
L = 30
W = 21
Area = 30 * 21
Area = 630
Area of the circles
Radius = 7 m
Area = pi r^2
Area = 3.14 * 7^2
Area = 153.86 m^2
Area of both circles = 307.72
Area of the Shaded Region
Area of shaded region = area of the rectangle - area of 2 circles.
Area of Shaded Region = 630 - 307.72
Area of Shaded Region = 322.28
Answer:
3n + 2.
Step-by-step explanation:
Just combine like terms.