Answer:
see the attachment
Step-by-step explanation:
1. Two angles that sum to 90° are <em>complementary</em>, whether they are adjacent or not. Angles LMN and NMP are also <em>adjacent</em>.
2. Vertical angles created by two distinct lines are <em>never adjacent</em>. The sides of the angles are created by the same lines, and the angles share a vertex, but there is no ray that is a side common to both angles.
3. Angle GMK is supplementary to angle JMG.
4. Vertical angles are congruent. See question 2.
5. See question 1.
Answer:
D. √((2 +4)² +(5 -8)²)
Step-by-step explanation:
The distance is found using the formula ...
d = √((x1 -x2)² +(y1 -y2)²)
Selection D has this formula properly filled in with the values ...
(x1, y1) = (2, 5)
(x2, y2) = (-4, 8)
Answer:
x=35/78
Step-by-step explanation:
3/2x-11/5=(7/8)*(64/49)
3/2x-11/5=8/7
3/2x=8/7+11/5
3/2x=117/35
x=(35*3)/(2*117)
x=35/78
Answer:
20 >= 4*c - 8
Step-by-step explanation:
Answer:
Approximately 12.04 units.
Step-by-step explanation:
The find the distance between any two points, we can use the distance formula, which is:

We have the points (2,7) and (-6,-2). Let's let (2,7) be (x₁, y₁) and let's let (-6, -2) be (x₂, y₂). Substitute:

Subtract:

Square:

Add:

Approximate

So, the distance between (2,7) and (-6,-2) is approximately 12.04 units.
And we're done!