Answer:
69
Step-by-step explanation:
All angles in a triangle = 180°
35 + x + (x+7) = 180
42 + 2x = 180
2x = 138
x = 69
Hope this helps!
Answer:
Step-by-step explanation:
Use the slope-intercept form to write the equation if the line of the graph given.
, where,
b = y-intercept, which is where the line cuts across the y-axis = 4.
m = slope = 
Substitute m = ⁴/3 and b = 4, into the slope-intercept formula to get the equation of the line:
Let the two integers be x and x + 1, then
2(x + 1) + 9 = 3x
2x + 2 + 9 = 3x
3x - 2x = 11
x = 11
Therefore, the integers are 11 and 12.
Answer: D
Explanation:
The equation of a line in the point slope form is expressed as
y - y1 = m(x - x1)
where
m represents slope
x1 and y1 represents coordinates of the point that the line passes.
From the information given, the equation of the path of the old route is
y = 2x/5 - 4
Recall, the equation of a line in the slope intercept form is expressed as
y = mx + c
By comparing both equations,
slope, m = 2/5
If two lines are parallel, it means that they have the same slope. Given that the new route is to be parallel to the old route and will go through point (Q, P), then
m = 2/5
x1 = Q
y1 = P
The equation of the new route be
y - P = 2/5(x - Q)
