Answer:
23°
Step-by-step explanation:
There is not enough information given in this diagram to provide values for the marked angles. In order to solve the problem, we must assume some relation between those angles.
If they are equal, then ...
9x -22 = 6x -7
3x = 15 . . . . . . . . . . add 22-6x to both sides
x = 5 . . . . . . . . divide both sides by 3
m∠ABD = (9x -22)° = (9·5 -22)° = 23°
Did you type the question right? there is no correct answer for this.
I would have labeled the points as
(x1,y1) = (11,12)
(x2,y2) = (15,16)
then used the formula
m = (y2-y1)/(x2-x1)
However, your idea works as well. I don't see any errors with your steps. Nice work.
<u>None of these have this solution</u>.
The only line that goes through (4, 8) is Line B.
Graphically, Line D is close, but still does not go through the point.
Explanation:
o write the equation for each line, we start with the slope. The formula for slope is:
Using the points for A, we have:
Using point-slope form,
y-y₁ = m(x-x₁),
we have:
y-16=(-4/3)(x--6)
y-16 = (-4/3)(x+6)
y-16 = (-4/3)(x)+(-4/3)(6)
y-16 = (-4/3)x + (-24/3)
y-16 = (-4/3)x - 8
Adding 16 to each side,
y-16+16 = (-4/3)x-8+16
y = (-4/3)x+8
Substituting 4 for x,
y = (-4/3)(4)+8
y = (-16/3)+8
y = -5 1/3 + 8
y = 2 2/3
This does not go through (4, 8).
For B, the slope is:
m = (20-0)/(-2-8)
m = 20/-10
m = -2
In point-slope form,
y-20 = -2(x--2)
y-20 = -2(x+2)
y-20 = -2(x)+(-2)(2)
y-20 = -2x-4
Adding 20 to each side,
y-20+20 = -2x-4+20
y = -2x+16
Substituting 4 for x,
y = -2(4)+16
y = -8+16
y = 8
This <em>does</em> go through (4, 8).
For C, the slope is
m = (-6-20)/(-7-16)
m = (-26)/(-13)
m = 2
In point-slope form,
y--6 = 2(x--7)
y+6 = 2(x+7)
y+6 = 2(x) + 2(7)
y+6 = 2x+14
Subtracting 6 from each side,
y+6-6 = 2x+14-6
y = 2x+8
Substituting 4 for x,
y = 2(4)+8
y = 8+8
y = 16
This does not go through (4, 8).
For D, the slope is
m = (20--7)/(7-0)
m = (20+7)/7
m = 27/7
Since it goes through (0, -7), the y-intercept is -7; in slope-intercept form, this is;
y = 27/7x - 7.
Substituting 4 for x,
y = (27/7)(4)-7
y = (108/7) - 7
y = 15 3/7 - 7
y = 8 3/7
This does not go through (4, 8) either.
Answer:
6.9
Step-by-step explanation: