Answers:
5. x = 1
6. y = 11.5
Step-by-step explanation:
For question 5, you can use power of a point which describes the relationship of two secants intersecting inside a circle. You get the formula:
AC * CD = BC * CE
You can substitute the values you are given to get:
2 * 4 = x * 8
This gives you x = 1
For question 6, you can use another formula in power of a point that describes two secants intersecting in the exterior of a circle. You get the formula:
GH * GJ = GI * GK
Using segment addition postulate, you get:
GJ = GH + HJ = 5 + 16 = 21
GK = GI + IK = 6 + y --> y + 6
Now, substitute into the equation from power of a point:
5 * 21 = 6 * (y + 6)
105 = 6 * (y + 6)
17.5 = y + 6
y = 11.5
Small number =X
mid number = 3X-4
large number = 3x
X+3X-4+3X=24
7X-4=24
7X-4+4=24+4
7X=28
X=28/7
X=4
S=4
M=3(4) -4=12-4=8
L=3(4)=12
The numbers are 4,8 and 12
Answer:
c=
Step-by-step explanation:
a=height=6
b=length=4
using pythagorean theorem
a^2+b^2=c^2
36+16=c^2
c=
c=
Answer:
No solution
Step-by-step explanation:
There is no solution to the system of equations y=3x+2 and 6x-2y=8, meaning that they are parallel to each other on a graph, with no points ever intersecting on each other's lines.
