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:
49
Step-by-step explanation:
1.21 x 49 = 59.29
18 line segments also for faster and better u can 6 times 3 since there is already three in a triangle.
Answer:
-12x + 12 = 32............................. the equation
Step-by-step explanation:
to determine the equation in this 12(1-x) = 36 expression is quite simple, you only need to open the bracket .
solution
12(1-x) = 36
12 - 12x = 32
-12x + 12 = 32............................. the equation
we can further evaluate for the value of x
-12x = 32 - 12
-12x = 20
divide both sides by the coefficient of x which is -12
-12x = 20
-12x/-12 = 20/-12
x = -1.67
