The value of x from the figure is 30 degrees
<h3>Parallel lines</h3>
Parallel lines are lines that have the same slope and have 0 degrees as the angle between them.
The sum of angle 5 and angle 6 are supplementary. Hence;
m<5 + m<6 = 180
3x - 33 + 123 = 180
3x + 90 = 180
3x = 180 - 90
3x = 90
Divide both sides by 3
3x/3 = 90/3
x = 30
Hence the value of x from the figure is 30 degrees
Learn more on angles here: brainly.com/question/25770607
Answer:
Multiplied by -4
Step-by-step explanation:
Since it is being switched off from negative to positive, this means that it has to be a negative number. Since two negatives make a positive, then -5*-4=20, and since a negative and a positive make a negative, it would be 20*-4=-80
Answer:
12b + 36
Step-by-step explanation:
multiply the outside of the bracket by the inside
12(b + 3)
12b + 36
Question:
Use technology to approximate the solution(s) to the system of equations to the nearest tenth of a unit.
Select all that apply.
(3.6,0.6)
(-2.6,0.4)
(-3.6,0.6)
(2.6,0.4)
(4.5,-1.5)
Answer:
Option A : 
is the solution to the system of equations.
Option D: 
is the solution to the system of equations.
Explanation:
The two equations are and
To determine the solution of the system of equations using technology, let us plot the equations in the graphing calculator.
The solution of the system of equations is the intersection of the two lines.
Thus, from the graph, we can see that the two lines f(x) and g(x) intersect at the points 
and 
Rounding off the solution to the nearest tenth, we get,
and
Thus, the solution to the system of equations is and
Hence, Option A and Option D are the correct answers.
Answer:
Their y-intercepts are equal
Step-by-step explanation:
The y-intercept is the y-value where the function crosses the y-axis. In this problem, functions are presented in 2 ways: algebraically and in a table.
1) Fortunately, the algebraic equation is written in slope-intercept form; this means that intercept is easy to find. The slope-intercept form is y=mx+b, where b is the y-intercept. In function 1, the b value is 10.
2) Another way to describe the y-intercept is the y-value when x=0. So, the y-intercept on a table is wherever the x-value is 0. In this case, the first row represents when x=0. The table says that when x=0, y=10. This means that the y-intercept for function 2 is 10.
Since the y-intercept for both of the functions is 10, it can be said that the 2 functions have equivalent y-intercepts.
