Answer:
x = 72 , y = 108
Step-by-step explanation:
2x and
are adjacent angles on a straight line and sum to 180° , that is
2x +
= 180 ( multiply through by 2 to clear the fraction )
4x + x = 360
5x = 360 ( divide both sides by 5 )
x = 72
--------------------------
=
= 36
and
are vertically opposite and are congruent , then
= 36 ( multiply both sides by 3 )
y = 108
Answer:
A
Step-by-step explanation:
The profit for selling <em>x</em> pairs of shoes is given by:

And we want to determine the number of pairs that needs to be sold in order to maximize profit.
Since the function is a quadratic with a negative leading coefficient, the maximum profit will occur at its vertex point. The <em>x-</em>coordinate of the vertex of a quadratic is given by:

In this case, <em>a</em> = -4, <em>b</em> = 32, and <em>c</em> = -39. Substitute and evaluate:

So, in order to maximize profit, only four pairs of sohoes should be sold.
Our answer is A.
Answer:
Given number = 0.44
Find how many times the value of the hundredths place digit to the value of the tenths place digit.
=> Since this is a decimal number, I believe, the value you mean is tenths and hundredths, not tens and hundreds.
Now, how many times is the value of each digit differs from each other:
The answer is 10 times
=> 4 hundredths x 10 = 4 tenths
=> 0.04 x 10 = 0.4, which is correct
Step-by-step explanation:
Well, first you have divide 5 by 1/4 which will give you 20. 53 + 20 = 73
you can check your awnser by subtracting 73 from 20, which will give you 53.
Answer:
59
Step-by-step explanation:
If we convert from degrees into radians, we can use the formula
, where s is the arc length, r is the radius and θ is the angle in radians.
To convert from degrees to radians, we multiply by 
So
is our angle in radians, and we have the radius - we can now plug in these two values into our equation.
