Answer:
The answer is 67 degrees.
Step-by-step explanation:
The angle x is supplementary with 23 degrees because that angle is an alternate interior. Recall that is within a right angles as well so
90 - 23 = 67
a) The equation of line k is:

b) The equation of line j is:

The equation of a line, in <u>slope-intercept formula</u>, is given by:

In which:
- m is the slope, which is the rate of change.
- b is the y-intercept, which is the value of y when x = 0.
Item a:
- Line k intersects line m with an angle of 109º, thus:

In which
and
are the slopes of <u>k and m.</u>
- Line k goes through points (-3,-1) and (5,2), thus, it's slope is:

- The tangent of 109 degrees is

- Thus, the slope of line m is found solving the following equation:






Thus:

It goes through point (-2,6), that is, when
, and this is used to find b.





Thus. the equation of line k, in slope-intercept formula, is:

Item b:
- Lines j and k intersect at an angle of 90º, thus they are perpendicular, which means that the multiplication of their slopes is -1.
Thus, the slope of line j is:


Then

Also goes through point (-2,6), thus:



The equation of line j is:

A similar problem is given at brainly.com/question/16302622
Answer: The magnificent of east and g is a round out of the fraction that is in direct to 32 degrees and the other direction of the resultant 10 = 12 + F
45 = 60 + F.
Answer:
26 ft and 46 ft.
Step-by-step explanation:
The prime factors of 42 are 2 * 3 * 7.
Possible lengths and widths are:
L = 7, W = 6 giving a perimeter of 2*7 + 2*6 = 26 ft.
L = 14 , W = 3 giving perimeter = 34 ft.
L = 21, W = 2 giving perimeter = 46 ft.
Hope this is correct and hope it helps x