Answer:
x = 8, and y = 12
Step-by-step explanation:
There are 2 variables, so you need 2 equations to form a system of equations in two variables.
The upper left triangle has all angle measures given: 100, 2x + y, 5x + y. We know that the sum of the measures of the angles of a triangle is 180.
First equation:
100 + 2x + y + 5x + y = 180
Simplify:
7x + 2y = 80 (First equation)
Now we see that the upper and lower sides are parallel, so alternate interior angles are congruent. The angles measuring 2x + y and 5x - y are alternate interior angles and are congruent.
Second equation:
2x + y = 5x - y
Simplify:
3x - 2y = 0 (Second equation)
Now we use the first equation and the second equation as a system of simultaneous equations to solve for x and y.
7x + 2y = 80
3x - 2y = 0
Solve the second equation for 2x.
3x = 2y
Now replace 2y in the first equation with 3x.
7x + 3x = 80
10x = 80
x = 8
Replace x with 8 in the second equation.
3(8) - 2x = 0
24 = 2x
x = 12
Answer: x = 8, and y = 12
1-d
2-c
3-e
4-b
5-a
It's very simple. Try..
Answer:
$14.08
Step-by-step explanation:
$16.95 * 22% = $3.729
$16.95 - $3.729 = $13.221
^ to find the sale price of the item
$13.221 * 6.5% = $0.859
$13.221 + $0.859 = $14.08
^ to add on sales tax to the sale price
Choosing the coaches of the basketball teams is independent because which girl he chooses does not influence nor is it influenced by the choice for the boy
