Answer: the first one
Step-by-step explanation:
We have that
<span>y=1/2x-3
1) the slope of this line equation is m=(1/2)
2) the coordinates of the y intercept are
for x=0
y=-3
point (0,-3)
3)</span>the coordinates of the x intercept are
for y=0
0=(1/2)x-3------> (1/2)x=3----> x=6
point (6,0)
<span>if the line is dilated by a factor of 3
then
</span>y=1/2x-3--------> 3y=3*[1/2x-3]-----> 3y=(3/2)x-9
3y=(3x-18)/2-------> y=(3x-18)/6--------> y=(3/6)x-18/6
y=(3/6)x-18/6
so
1) the slope of this line equation is m=(3/6)-----> 3/6=1/2
2) the coordinates of the y intercept are
for x=0
y=-18/6-------> y=-3
point (0,-3)
3)the coordinates of the x intercept are
for y=0
0=(3/6)x-18/6------> (3/6)x=18/6----> x=18/3------> x=6
point (6,0)
therefore
the equation of the line
y=1/2x-3 is the same that the equation of the line y=(3/6)x-18/6
<span>the equation does not change because the slope and the x and y intercepts do not change either</span>
8)
The sum of angles of a triangle is 180º
Therefore:
x+x+98=180
2x=180-98
2x=82
x=82/2
x=41
Answer:
m∠E=41º
m∠F=41º
10)
The sum of angles of a triangle is 180º
Therefore:
3x+4x+5x=180º
12x=180
x=180/12
x=15
3x=3(15)=45
4x=4(15)=60
5x=5(15)=75
Answer:
m∠G=75º
m∠H=60º
m∠J=45º
C. 68°
292° lies on 4th quadrant.
<h3><u>Reference angle</u>:</h3>
1st quadrant: angle
2nd quadrant: 180° - angle
3rd quadrant: angle - 180°
4th quadrant: 360° - angle
So, reference angle: 360° - 292° = 68°
