Answer:
18
Step-by-step explanation:
Find the multiples of 9
9,18,27,36
Find the multiples of 6
6,12,18,24
The first common multiple is 18
Answer:
Angle 1, angle 3 and angle 7 will be the equal angles.
Step-by-step explanation:
In the figure attached,
Two lines are parallel and a transversal line is intersecting these parallel lines.
Congruent angles to the angle measuring 124° will be,
m(∠7) = 124° [Vertical angles]
m(∠1) = 124° [Corresponding angles]
m(∠3) = 124° [Alternate interior angles]
Therefore, ∠1, ∠7 and ∠3 will measure the same as 124°.
Point B is located at (-2, 5).
In ordered pairs (the point), the x value is first, then the y value is second. Like so: (x,y). According to your question, it is (-2,5). This means the point is left 2 in the x direction, and up 5 in the y direction. This is point B.
I hope this Helps!
Answer:
x = 1
y = 5
z = 2
Step-by-step explanation:
System of equations:
6x - 2y + z = -2
2x + 3y - 3z = 11
x + 6y = 31
Isolate one variable in any of the equations:
x + 6y = 31
x = 31 - 6y
Plug in this value for x in another equation:
6(31 - 6y) - 2y + z = -2
186 - 36y - 2y + z = -2
186 - 38y + z = -2
-38y + z = -188
z = -188 + 38y
Plug in these values in the remaining equation:
2(31 - 6y) + 3y - 3(-188 + 38y) = 11
62 - 12y + 3y + 564 - 114y = 11
626 - 12y + 3y - 114y = 11
626 - 9y - 114y = 11
626 - 123y = 11
-123y = -615
y = 5
Plug in value of y into our other answers to solve for x and z:
x = 31 - 6(5)
x = 31 - 30
x = 1
z = -188 + 38(5)
z = -188 + 190
z = 2
Check your work:
6x - 2y + z = -2
6(1) - 2(5) + 2 = -2
6 - 10 + 2 = -2
-4 + 2 = -2
-2 = -2
Correct!
*Note there are several ways to solve for these types of problems. I used substitution*
