A) 6
Replace the y with 6
4(6)+13=37
Multiply
24+13=37
Add
37=37
I hope this helps :)
If you have any questions about my answer please feel free to ask:)
We know that m ║ n.
Let's first find the value 'x'.
When two lines are parallel, and a transversal is drawn, the angles on the same side of the transversal are equivalent.
This means that (5x + 16)° and (7x + 4)° are equivalent.
Equating them,
5x + 16 = 7x + 4
16 - 4 = 7x - 5x
12 = 2x
x = 12/2
x = 6°
Since we know the value of 'x', let's substitute them into the angles and find out the actual measurements.
5x + 16 = 5 × 6 + 16 = 30 + 16 = 46°.
7x + 4 = 7 × 6 + 4 = 42 + 4 = 46°.
Now let's find the value of 'y'.
If you observe carefully, (7x + 4)° and (y + 6)° form a linear pair.
This means that both those angles should add upto 180°.
Using that theory, the following equation can be framed:
(y + 6)°+ (7x + 4)° = 180°
Since we know the actual value of (7x + 4)°, let's substitute that value and move ahead.
(y + 6)° + 46° = 180°
y + 6 + 46° = 180
y + 52° = 180°
y = 180° - 52°
y = 128°
Therefore, the values of 'x' and 'y' are 46° and 128° respectively.
Hope it helps. :)
The equation that represents the line is:

Step-by-step explanation:
We have to observe the graph to find the points on line
So the points on line are:
(x1,y1) = (4,6)
(x2,y2) = (-2,1)
First of all we have to find the slope

Equation of line is given by:

Putting the value of slope

Putting (4,6) in the equation

Putting the value of b

Hence,
The equation that represents the line is:

Keywords: Equation of line, slope
Learn more about equation of line at:
#LearnwithBrainly
Answer:
C) y=1/4(x - 3)2 - 1
Step-by-step explanation: