Considering High School level question, answer can be written as:
A system of 2 linear equations is [two] dimensional. It is a graph of [two] lines. The solutions can be [unique] solution if the graph intersects. [No] solution if the lines are parallel - meaning they have the same slope, or [Infinitely many] solutions if they are the same line.
Explanation:
when two lines are drawn on a two-dimensional plane then there are only three possible cases:
Case1: lines will intersect
In that case you will get a unique solution at the intersection point.
Case2: lines are parallel but don't touch each other
In that case there will be no point which lies on both lines so No solution.
Case3: lines are overlapping.
In that case all the points lies on both lines so infinitely many solutions.
Area under ALL probability distribution curves is 1.0, because all possible outcomes are taken into account.
Answer:
£24,980
Step-by-step explanation:
total pay = monthly salary + percent of annual profit + £250 bonus
monthly salary = £1,850
annual salary = 12 × £1,850 = £22,200
agency income = £356,000
agency costs = £280,000
annual profit = income - costs = £356,000 - £280,000 = £76,000
percent of annual profit = 3% × £76,000 = 0.03 × £76,000 = £2,280
£250 bonus = 2 × £250 = £500
total pay = monthly salary + percent of annual profit + £250 bonus
total pay = £22,200 + £2,280 + £500
total pay = £24,980
Answer:
An angle bisector is a line passing through the vertex of the angle that cuts the angle into two equal smaller angles.
Given: MN is angle bisector,
then
....... [1]
Congruent angles are two or more angles that have the same measure.
then;
by definition of congruent angles
[1]⇒ 
......[2]
By the Angle addition postulates states that if M is in the interior of ∠JMK then,
......[3]
Now, by substitution property ; substitute the equation [2] in [3] we get;
......[4]
Like terms terms whose variables are the same
Combine like terms in equation [4] we get
......[5]
Division property of equality states that you divide the same number to both sides of an equation.
Divide by 2 to both sides in equation [5] , we get
