Answer:
See explanation
Step-by-step explanation:
1. BK is an angle B bisector, then
(definition of angle bisector)
2. BM = MK, then
triangle BMK is isosceles triangle with base BK.
3. Angles adjacent to the base of isosceles triangle are congruent, then
Note that angle MBK is the same as angle CBK.
4. By substitution property,
5. By alternate interior angles theorem,
if , then
Answer: 5.5%
Step-by-step explanation:
Since the money invested has grown to $8300 and the principal was $600, this means the interest is:
= $8300 - $6500
= $1800
Simple interest = (Principal × Rate × Time)/100
1800 = (6500 × Rate × 5)/100
Cross multiply
1800 × 100 = 32500 × Rate
Rate = 180000/32500
Rate = 5.5%
<u>Answer</u>
y = 5x +25
<u>Explanation</u>
To get the equation of a line, first get the slope of the line.
Slope = (change in y)/(change in x)
= (60-30)/(7-1)
= 30/6
= 5
Now use one point in the line (4,45) and a general point (x,y).
Slope = (change in y)/(change in x)
5 = (y - 45)/(x - 4)
5(x - 4) = (y - 45)
5x - 20 = y - 45
y = 5x -20 + 45
y = 5x + 25