Answer:
B.) Transitive Property of Congruency; If parallel lines have a transversal, then alternative interior angles are congruent.
Step-by-step explanation:
Alternate interior angles are the two angles that are inbetween the parallel lines but are on opposite sides of the transversal. Angles 4 and 5 are alternate interior, and therefore, they are congruent.
Answer:
Step-by-step explanation:
%profit = selling price - cost price/cost price * 100
If Mr. Wayne marks up every item with a profit of 25% and x be his cost for a calculator, the expression for the selling price can be gotten by substituting the parameters into the formula;
25 = sp-cp/cp * 100
25/100 = sp-x/x
0.25 = sp-x/x
cross multiply
0.25x = sp-x
add x to both sides
0.25x+x = sp-x+x
1.25x = sp
selling price = 1.25x
<em>Hence an expression for the selling price of the calculator is 1.25x</em>
<em></em>
b) If Mr wayne paid $25, the selling price is derived by substituing x = $25 into the expression in (a)
selling price = 1.25x
selling price = 1.25($25)
selling price = $31.25
c) If the selling price is $86, to get the cost of the calculator, substitute the selling price into the expression in (a)
selling price = 1.25x
$86= 1.25x
x is the cost price of the calculator
divide both sides by 1.25
$86/1.25= 1.25x/1.25
x = $68.8
<em>Hence Wayne paid $68.8 for a calculator that he sells for $86.</em>
Answer:
Incomplete Question
Step-by-step explanation:
Answer:
Step-by-step explanation:
2/
5
k−
3
/5
k+
1
/10
k
=
2
/5
k+
−3
/5
k+
1
/10
k
Combine Like Terms:
=
2
/5
k+
−3
/5
k+
1
/10
k
=(
2
/5
k+
−3
/5
k+
1
/10
k)
=
−1
/10
k
Answer:
=
−1
/10
k
Answer:
The equation of the required line is y = x + 5
Step-by-step explanation:
The equation of the given line is y = x - 2
The required line = A line parallel to the given line
The point through which the required line passes = (-3, 2)
The general form of the equation of a straight line, is y = m·x + c
Where;
m = The slope of the line
By comparison, the slope of the given line, m = 1
When two lines are parallel, their slope are equal
Therefore, the slope of the required line = m = 1
The equation of the required line in point and slope form is therefore;
y - 2 = x - (-3) = x + 3
∴y = x + 3 + 2 = x + 5
The equation of the required line is therefore;
y = x + 5.
