The perpendicular bisector theorem gives the statements that ensures
that 
and 
are perpendicular.
The two statements if true that guarantee is perpendicular to line are;
Reasons:
The given diagram is the construction of the line 
perpendicular to line 
.
Required:
The two statements that guarantee that is perpendicular to line .
Solution:
From the point <em>C</em> arcs <em>E</em> and <em>D</em> are drawn to cross line , therefore;
arcs drawn from the same radius.
is perpendicular to line , given.
Therefore;
by perpendicular bisector theorem.
Learn more about the perpendicular bisector theorem here:
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Answer:
The loan was for 9 months only
Step-by-step explanation:
In this question, we are concerned with calculating the time taken for a loan om an interest to be paid back
To calculate this, we use the simple interest formula
Mathematically;
I = PRT/100
where P is the principal which is the amount borrowed and that is $500 according to the question
R is the rate which is 8% according to the question
Interest can be calculated by subtracting the principal from the amount paid back = 530-500 = 30$
We now plug these values into the equation
30 = (500 × 8× T)/100
100 × 30 = 4000T
T = 3000/4000
T = 0.75 (same as 0.75 × 12 months = 9 months)
Answer:
The best way to show and explain direct proportional relationships is by graphing two sets of related quantities. If the relation is proportional, the graph will form a straight line that passes through the origin.
A function is its own inverse if it is symmetrical about the line y=x. This is the case for functions t, y, w. Function d(x) = 1/x^2 is symmetrical about the line x=0, but is not symmetrical about the line y=x.
The appropriate choices are ...
a. t(p) = p
b. y(j) = -1/j
c. w(y) = -2/y
6n-8<5n decreased means subtract
n-8<0
n<8
