∠ABC and ∠DBC are complementary angles. If ∠ABC=6x+13 and ∠DBC=4x−3 what is the value of x?
1 answer:
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Answer:
C, 53.68 units
Step-by-step explanation:
tan 54° =
39 tan 54° = x
x= 53.6788949 (just plug it in a scientific or graphing calculator)
x≈53.68
Answer:
slope= -3
y-intercept= 6
Step-by-step explanation:
1. Approach
To solve this problem, one needs the slope and the y-intercept. First, one will solve for the slope, using the given points, then input it into the equation of a line in slope-intercept form. The one can solve for the y-intercept.
2.Solve for the slope
The formula to find the slope of a line is;
Where (m) is the variable used to represent the slope.
Use the first two given points, and solve;
(1, 3), (2, 0)
Substitute in,
Simplify;
3. Put equation into slope-intercept form
The equation of a line in slope-intercept form is;
Where (m) is the slope, and (b) is the y-intercept.
Since one solved for the slope, substitute that in, then substitute in another point, and solve for the parameter (b).
Substitute in point (3, -3)
