X + y = 90
Let's make 'x' the bigger angle and 'y' the smaller.
X is 24 more than twice y.
x = 24 + 2y
Now plug that into the x of the first equation.
(24 + 2y) + y = 90
Combine like terms.
24 + 3y = 90
Subtract 24 from both sides.
3y = 66
Divide both sides by 3.
y = 22
The measure of the smaller angle is 22°
By using the formula for arithmetic sequence, the 16th term of the progression can be obtained. Given A1=8 and d=3,
A16=A1+(n-1)d
A16=8+(16-1)(3)
A16=53
We know that
the length of a circumference=2*pi*r
for D1=18 cm--------------> r1=9cm
L1=2pi*9-------> 18pi cm
for D2=6 cm-----------> r2=3 cm
L2=2pi*3-------> 6pi cm
L2/L1----------> (6pi)/(18pi)---->1/3
the answer is the option A) multiplies by 1/3
For this case we have that by definition, the equation of a line of the slope-intersection form is given by:

Where:
m: It's the slope
b: It is the cut-off point with the y axis
The slope of a line is given by:

We have that the line m passes through the following points:

So, the slope of the line m is:

Line n has the same slope so the equation is of the form:

We have as data that the y-intercept is
. Thus, we have that the equation of line n is:

ANswer:

Answer: 0.720
Step-by-step explanation:
0.720 = 18/25
0.51 = 51/100
0.144 = 18/125
0.023 = 23/1000