Answer:
900
Step-by-step explanation:
Each group of 3 starred angles plus the 4th angle which is an interior angle of the triangle has a total measure of 360 degrees. The sum of the measures of the three angles of the triangle is 180 degrees.
total measure of the starred angles = 4 * 360 - 180
total measure = 900 degrees
Answer:
Let x = the number of lbs of Type A coffee.
We know that this month's blend used 3 times as many pounds of type B coffee as type A coffee.
Total lbs of coffee = x + 3x
The total cost then is:
($ cost for Type A)(x) + ($ cost for Type B)(3x) = $717.60
$5.65x + $4.25(3x) = $717.60
$5.65x + $12.75x = $717.60
$18.40x = $717.60
x = 39 lbs
If the original price is 'x', 60% of 'x' is $30
0.6*x = 30
30/0.6 = x
x = 50
The original price is $50
Answer:
f(x)=3x−1
2
Step-by-step explanation:
The domain of the expression is all real numbers except where the expression is undefined. In this case, there is no real number that makes the expression undefined. The range is the set of all valid y values. The domain of the expression is all real numbers except where the expression is undefined. In this case, there is no real number that makes the expression undefined.
Interval Notation:
(-∞,∞)
Set-Builder Notation:
{x|x∈R}
The range is the set of all valid
y
values. Use the graph to find the range.
Interval Notation:
(−∞,∞)
Set-Builder Notation:
{y|y∈R}
Determine the domain and range.
Domain:
(−∞,∞),{x|∈R}
Range:
(−∞,∞),{y|y∈R}
Answer:
x =21
Step-by-step explanation:
So we know that:
And that the two angles are vertical angles.
Since they are vertical angles, their measurements are equivalent. Thus, to find x, set the equations equal to each other:
Now, solve for x. Add 30 to both sides. The left side cancels:
Now, subtract 2x from both sides. The right cancels:
Thus, the value of x is 21.