Answer:
X=13
Step-by-step explanation:
First I squared 12 and 5 and got 144 and 25 then I added them which was a total of 169 then I took the square root of 169 and got x=13.
Answer: DB=31.66and EC=49.32
Step-by-step explanation:
Answer:
86°
Step-by-step explanation:
Given:
A = (6x + 10)°
B = (4x +30)°
Two angles are supplementary if they sum up to 180° ;
A + B = 180°
Now insert the parameters and solve;
6x + 10 + 4x +30 = 180
10x + 40 = 180
10x = 140
x = 14
So;
B = (4x +30)° = 4(14) + 30 = 86°
Answer:
y = - 2x - 300
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
y = - 2x + 3 ← is in slope- intercept form
with slope m = - 2
Parallel lines have equal slopes, then
y = - 2x + c ← is the partial equation
To find c substitute (- 100, - 100 ) into the partial equation
- 100 = 200 + c ⇒ c = - 100 - 200 = - 300
y = - 2x - 300 ← equation of parallel line
I must assume that you meant 2x - 3y = 9.
A line parallel to this line has exactly the same format, but a different constant on the right: 2x - 3y = c. Substituting the given values of x and y, we get:
2(4) - 3(-1) = 8+3 = 11. Thus, c = 11, and the equation of the new parallel line is
11 - 2x
2x - 3y = 11. Solving for y, -3y = 11 - 2x, or y = -------------
-3
so the slope of the parallel lilnes is 2/3.
A line perpendicular to the given line has a slope which is the negative reciprocal of 2/3: -3/2.
This perpendicular line has the equation
y + 1 = (-3/2)(x-4) (point-slope form), or
2y + 2 = -3(x-4) = -3x + 12. Then 2y = -3x + 12, and y = (-3/2)x + 6 (the perpendicular line's equation)