Answer:
q = 4
Step-by-step explanation:
4q - 8 = q + 4
3q - 8 = 4
3q = 12
q = 4
**Opposite sides in a parallelogram are congruent.
Answer:
(2,1)
Step-by-step explanation:
We can see that the given triangle.
The coordinates of A are (-1,5) .
The coordinates of B are (-1,-3).
The coordinates of C are (5,-3).
Distance formula: 
AB=
units
BC=
units
AC=
units
Pythagoras theorem:


Therefore, 
When a triangle satisfied the Pythagoras theorem then, the triangle is right triangle.
Hence, the given triangle is a right triangle.
We know that circum-center of right triangle is the mid point of hypotenuse.
Mid-point formula:
Using this formula then, we get
Mid-point of hypotenuse AC is given by

Hence, the circum-center of triangle is (2,1).
Answer:
75th term
Step-by-step explanation:
hope it is well understood
Given:
5 bonds of face value of 1,000 that paid 5% annual interest rate.
5 bonds x 1,000 = 5,000
5,000 x 5% x 1 year = 250
The total annual interest income of James is 250. Each bond earns 50 per annum.
More
First, you divide 2042/5950 which is about 0.4036, then you move the decimal 2 spaces to the right which is about 40.4, which means that 40% of Tom's income is his mortgage, higher than the average