Answer:
There are actually an infinite number of ordered pairs that will satisfy the equation y=3x+7 including (-1,4), (0,7) and (1, 10).
Step-by-step explanation:
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
I hope this helps you
x=42.8+6.9
x=49.7
Answer:
First one: yes
Second one: yes
Third one: no
Step-by-step explanation:
To find the midpoint of a line segment, you take the x and y coordinates of the 2 points, add each of them up, and divide each of them by 2.
First one: x = (1+3)/2 = 2, y = (2+4)/2 = 3, so it's correct.
Second one: x = (-1+3)/2 = 1, y = (1+-1)/2 = 0, so it's correct.
Third one: x = (-3+-1)/2 = -2, y = (0+5)/2 ≠ 2, so it's not correct.
I really hope this helped.
Answer:
a right angle
Step-by-step explanation:
