Answer:
x = 13
Step-by-step explanation:
This question is based on Secant Secant theorem.
Secant Secant theorem gives us the following formula:
(AB + BD)AB = (AC + CE).AC
From the above question we have the following parameters
AB = 5
BD = x
AC = 7.5
CE = 4.5
Hence,
(AB + BD)AB = (AC + CE).AC
(5 + x)5 = (7.5 + 4.5)7.5
25 + 5x = 90
Collect like terms
5x = 90 - 25
5x = 65
x = 65/5
x = 13
Answer:
x=50 y=10
Step-by-step explanation:
Answer:
50 gallons of red
30 gallons of blue
Step-by-step explanation:
5 parts of the whole must be red, 3 parts of the whole must be blue, and there are 5+3=8 parts in total.
therefore, 1 part = 80/8 = 10 gallons
red : 5 parts
5×10 = 50 gallons
blue : 3 parts
3×10 = 30 gallons
If you graph the two equations then you will find that they intersect at (-2,-2).
You then have to check your answer.
x=4y+6
(-2)=4(-2)+6
-2=-8+6
-2=-2
x-3y=4
(-2)-3(-2)=4
-2+6=4
4=4
That point of concurrency is called the incenter of the triangle
