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:
The slope is 1/2
Step-by-step explanation:
Hi!
Disclaimer: Just for this response, I'm going to write it the same way you write a fraction out on paper just so it's easier to see.
First, you plot the two coordinates on the graph:
(0,0) and (2,1)
The formula for slope is 
Now we plug in numbers accordingly:
Simplify:
Simplify:
Let me know if you have any questions
312 mg is not greater than 312 dg
The greatest common factor of 42 and 72 is 6.
6 times 7 is 42. 6 times 12 is 72. There is no greater factor for both numbers except for 6.
Hope this helps!
Answer:
50-50 chance of black puppy
Step-by-step explanation:
