Answer:
See below.
Step-by-step explanation:
Start with triangle ABC with side BC lying on line n.
Draw a line through point A parallel to line n, and call it line m.
Angles 1 and 3 are alternate interior angle of parallel lines and are congruent.
Angle 2 and 4 are alternate interior angles of parallel lines and are congruent.
The sum of the measures of angles angles 1, BAC, and 2 is 180 since they lie on a line.
m<1 + m<BAC + m<2 = 180
Now we substitute in the angles we know are congruent by alternate interior angles (written above).
m<3 + m<BAC + m<4 = 180
7x + 4x - 11 = 22
Add 11 to both sides.
7x + 4x = 22 + 11
Simplify.
11x = 33
Divide both sides by 11.
x = 3
~Hope I helped!~
Answer:b I think
Step-by-step explanation:
You find slope by having two coordinates okay, for example the two could be ( 1,3 ) & (2,4) theres a x1, y1 which 1 is x1 and y1 is 3. and there’s x2 and y2 where x2 is 2 & y2 is 4. and now you use this equation m= y2-y1 / x2-x1 where m means slope. and there’s your answer. so for the example i put the answer would be 1. because 4-3 = 1 over 2-1 = 1. so that’s 1 over 1. which is just one. please tell me if this explanation helped!
The equation of the circle that passes through the point (0 , 4) and has a center at the origin is x^2 + y^2 = 16.
Using the distance formula, get the radius of the circle by solving for the distance between the center and the point (0 , 4).
radius = distance = √(x2 - x1)^2 + (y2 - y1)^2
radius = √(0 - 0)^2 + (4 - 0)^2
radius= √0 + 16
radius = 4
The standard form of the equation of the circle is given by (x - h)^2 + (y - k)^2 = r^2, where (h , k) is the location of the center and r is the radius of the circle.
Given the radius and center of the circle, substitute these values to the standard form of the equation of the circle.
(x - h)^2 + (y - k)^2 = r^2
where (h , k) = (0 , 0)
r = 4
(x - 0)^2 + (y - 0)^2 = 4^2
x^2 + y^2 = 16
Learn more about equation of a circle here: brainly.com/question/14150470
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