9514 1404 393
Answer:
D. 36 units
Step-by-step explanation:
Using the distance formula, we find the length of AB to be ...
d = √((x2 -x1)² +(y2 -y1)²)
d = √((7-(-2))² +(-3-9)²) = √(81 +144) = √225 = 15
The line BC is horizontal, so its length is the difference of the x-coordinates:
BC = 7 -(-2) = 9
The line AC is vertical, so its length is the difference of the y-coordinates:
AC = 9 -(-3) = 12
The sum of the lengths of the sides of the triangle is ...
P = 15 + 9 + 12 = 36
The perimeter is 36 units.
<h3>Answers: </h3>
Angle 1 and 3: Vertical Angles
Angle 4 and 8: Corresponding Angles
Angles 4 and 6: Alternate Interior Angles
Angles 3 and 5: Alternate Interior Angles
Angles 7 and 8: Linear Pair
Angles 1 and 7: Alternate Exterior Angles
=================================================
Explanation:
Vertical angles are formed when you cross two lines to form an X shape. The vertical angles are opposite one another in this configuration.
Corresponding angles are ones that show up in the same corner of each four-corner crossing. In the case of angles 4 and 8, both are in the southwest corner of each four-corner crossing.
Alternate interior angles are angles in between parallel lines and on opposite sides of a transversal. Alternate exterior angles are similar, but they are outside the parallel lines.
A linear pair of angles are adjacent and supplementary (meaning they add to 180).
Answer: 1. Angle MHG 2. Angle LHM 3. Angle LHK and KHJ and the measures are 35 each
Step-by-step explanation:
1. The order you put the angle points in isn’t super important, as long as the middle point of the angle stays between the two letters, so angle ABC can be angle CBA as long as the b stays in the middle
2. You can find out the LHM is a right angle by looking at the protractor and counting
3. Congruent = Equal and both angles equal 35 degrees.
