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
Answer:
pizza hut
Step-by-step explanation:
top 10 pizza places true or false
Answer: 11.4%
Step-by-step explanation:
100% of your life is 57 years
?% will be 6.5 years?
this is a simple ratio problem:
57 --> 100%
6.5 ---> (6.5 x 100)/57 ≅ 11.4%
You have known the person for about 11.4% of your life.
2 times what = -4?
-2 does
-2 x 2 = -4
-4 time what = 8?
Again, -2.
-2 x -4 = 8
You could do this over and over again or make a table, or you can make a function.
f(n) = f(1) • r

f(1) in this case is 2.
f(n) = 2 • r

r is rate of change, which is -2.
f(n) = 2 • -2

To find the 12th number in the sequence, just substitute n for 12.
f(12) = 2 • -2

f(12) = 2 • -2

-2^11 = -2048
2 x -2048 = -4096
So
the 12th number in the sequence will be -4096.