It’s option c. I hope that helped
M=(6-1)/(8-5)=5/3
y=5x/3+b, using (5,1)
1=25/3+b
b=-22/3
y=(5x-22)/3
...
m=(8-3)/(-1--4)=5/3...
y=5x/3+b, using (-1,8)
8=-5/3+b
b=29/3
y=(5x+29)/3
Since they have the same slope and difference y-intercepts they are parallel lines and will never intersect.
Answer:
Statement #1. JK is congruent to LK, JM is congruent to LM
Reason #1. Given
Statement #2. KM=KM
Reason #2. Reflexive property of equality
Statement #3. Triangle KMJ is congruent to triangle KML
Reason #3. Side, Side, Side triangle congruency theorem.
Statement #4. <J is congruent to <L
Reason #4. Corresponding angles of congruent triangles are congruent.
Step-by-step explanation:
Answer:
PQ = 5 units
QR = 8 units
Step-by-step explanation:
Given
P(-3, 3)
Q(2, 3)
R(2, -5)
To determine
The length of the segment PQ
The length of the segment QR
Determining the length of the segment PQ
From the figure, it is clear that P(-3, 3) and Q(2, 3) lies on a horizontal line. So, all we need is to count the horizontal units between them to determine the length of the segments P and Q.
so
P(-3, 3), Q(2, 3)
PQ = 2 - (-3)
PQ = 2+3
PQ = 5 units
Therefore, the length of the segment PQ = 5 units
Determining the length of the segment QR
Q(2, 3), R(2, -5)
(x₁, y₁) = (2, 3)
(x₂, y₂) = (2, -5)
The length between the segment QR is:
Apply radical rule:
Therefore, the length between the segment QR is: 8 units
Summary:
PQ = 5 units
QR = 8 units