C . Quarterly !
Since you paid off more than half of the annual interest
Answer:
Last one:
2 x + 4 y = 6. 3 x minus 4 y = 9.
Step-by-step explanation:
2x + 4y = 6
3x - 4y = 9
4y = 3x - 9
2x + 3x - 9 = 6
5x = 15
x = 3
4y = 3(3) - 9
4y = 0
y = 0
Only one solution, which is (3,0)
Answer:
b. 7+21
Step-by-step explanation:
If you do 1+3=4 and then 4 times 7 that equals 28. When you do 7+21 that equals 28 too. So b is the answer
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
11x° is interior angle of ladder to the ground
and 7X° is interior angle of ladder to the wall
exterior angle of a ladder to wall is 180-7x
and exterior angle of a ladder to ground is 180-11x
