Answer:
x=-5/3
Step-by-step explanation:
ABD + DBC = ABC
Substitute the values
6x+9 + x+1 = 10x+15
Combine like terms
7x+10 = 10x+15
Subtract 7x from each side
7x-7x+10 = 10x-7x+15
10 = 3x+15
Subtract 15 from each side
10-15 = 3x+15-15
-5 =3x
Divide each side by 3
-5/3 =x
This will give us a negative value for DBC
DBC = -5/3 +3/3 = -2/3
We cannot have a negative value for an angle
Check the values given.
If you slice it down the dotted line, you will have a rectangle with a width of 2 and a length of 4.
The area of the rectangle will be 8 square centimeters.
2 x 4 = 8
Answer:
8
Step-by-step explanation:
The greatest common divisor or highest common factor can be found by considering the factors of the 3 numbers
factors of 8 are 1, 2, 4, 8
factors of 16 are 1, 2, 4, 8, 16
factors of 24 are 1, 2, 3, 4, 6, 8, 12, 24
The common factors are 1, 2, 4, 8
the greatest common factor is 8
Thus the greatest common divisor of 8, 16 and 24 is 8
Answer:
A) Seattle's sales were 40.42% larger than Portland's.
B) Portland sales were 28.79% smaller than Seattle's.
C) Portland sales were 71.21% of Seattle's.
Step-by-step explanation:
Since a company's sales in Seattle were $ 330,000 in 2012, while their sales in Portland were $ 235,000 for the same year, the following calculations must be performed to complete the sentences:
A)
235,000 = 100
330,000 = X
330,000 x 100 / 235,000 = X
33,000,000 / 235,000 = X
140.42 = X
Seattle's sales were 40.42% larger than Portland's.
B)
330,000 = 100
235,000 = X
235,000 x 100 / 330,000 = X
23,500,000 / 330,000 = X
71.21 = X
100 - 71.21 = 28.79
Portland sales were 28.79% smaller than Seattle's.
C)
330,000 = 100
235,000 = X
235,000 x 100 / 330,000 = X
23,500,000 / 330,000 = X
71.21 = X
Portland sales were 71.21% of Seattle's.
Answer:
4√5
Step-by-step explanation: