The matchings are as follows:
1) 2=3 , 4 =5 (Given)
2) 1 =3 (vertical angles are equal)
3) 1 =2 (substitution)
4) VR=VR (Reflexive)
5) Triangle VSR congruent to Triangle VTR (ASA)
6) RS=RT CPCTE
The matchings are done above. The triangles are congruent as per ASA congruency as two angles and corresponding side is equal.
since 2 =3 and 1 = 3 we get 1=2
By CPCTE we have RS =RT
67Answer:67
Step-by-step explanation:
Answer:
y = 3x + 12
Step-by-step explanation:
y = 3x - 5 (y = 3x +b)
Parallel lines have same slope.
m = 3; (-2 , 6)
y - y1 = m(x -x1)
y - 6 = 3(x -[-2])
y -6 = 3(x + 2)
y - 6 = 3x + 6
y = 3x + 6 + 6
y = 3x + 12
Answer:
7
Step-by-step explanation:
x+5x=42
Answer:
Option D. 
Step-by-step explanation:
we know that
A relationship between two variables, x, and y, represent a proportional variation if it can be expressed in the form
or
In a proportional relationship the constant of proportionality k is equal to the slope m of the line <u>and </u><u><em>the line passes through the origin</em></u>
<u><em>Verify each case</em></u>
case A) we have

Is a equation of the form
The value of k=-2
This equation represent a proportional relationship
case B) we have

Is a equation of the form
The value of k=2
This equation represent a proportional relationship
case C) we have

The line passes through the origin, because the y-intercept is b=0
This equation represent a proportional relationship
case D) we have

The line not passes through the origin, because the y-intercept is not equal to zero (b=2)
This equation not represent a proportional relationship