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
Answer:
The right answer to your question is the third option
Step-by-step explanation:
5 √12xm³
First find the prime factors of 12
12 2
6 2
3 3
1 Then 12 = 2² 3
and m³ = m m²
So 5 √ 2² 3 x m m²
and 5 (2)(m) √ 3xm
10 m √ 3xm
Answer:
i dont know but some one will help freeee points
Step-by-step explanation:
Answer:
X + Y + Z = 32
X2 = Y
X3 + 2 = Z
X + X2 + X3 + 2 = 32
Make X alone
There is a 2 so we subtract 2 from both sides
X + X2 + X3 = 30
Add the X's up
X + X2 + X3 = X6
X6 = 30
Divide by 6
30 / 6 = 5
You are left with X=5
The first piece of wood has a length of 5
5 x 2 = 10
The second piece has a value of 10
5 x 3 + 2 = 17
The third piece is 17
Hope this helps. If you have any questions you may ask.
Step-by-step explanation: