Answer:
x = 50
Step-by-step explanation:
The sum of the measures of the interior angles of a polygon of n sides is
(n - 2)180
This polygon is a quadrilateral with 4 sides. n = 4
(n - 2)180 = (4 - 2)180 = 2(180) = 360
The sum of the measures of the interior angles of the quadrilateral is 360 degrees.
We have angles of 110 deg, 2x deg, x + 10 deg, and 90 deg. We add their measures and set teh sum equal to 360. Then we solve for x.
x + 10 + 2x + 110 + 90 = 360
3x + 210 = 360
3x = 150
x = 50
Answer: The Inverse variation
Step-by-step explanation:
The phrase “ y varies inversely as x” or “ y is inversely proportional to x” means that as x gets bigger, y gets smaller, or vice versa. This concept is translated in two ways. yx = k for some constant k, called the constant of proportionality.
Answer:
30 gallons of 6% milk, and 45 gallons of 1% milk.
Step-by-step explanation:
x=quarts of 6% butterfat
<h2>First, write an equation.</h2>
0.06x+0.01(75-x)=0.03*75
<h2>Multiply both sides by 100.</h2>
0.06x*100+0.01*100(75-x)=100*0.03*75
<h2>Simplify</h2>
6x+75-x=3*75
6x+75-x=225
<h2>Solve</h2>
5x=225-75=150
5x=150
x=30
75-30=45
So, we need 30 gallons of 6% milk, and 45 gallons of 1% milk.
Answer:
Step-by-step explanation:
Given
Required
List out the sample space
To do this, we simply pick 1 item in each category, without repetition.
So, we have:
About 7.5 miles if you divide 45/3 is 15 so divide 15/2 which is 7.5
