Answer:
x = 17, MN = 11
Step-by-step explanation:
Given 2 secants from an external point to a circle, then
The product of the external part and the whole of one secant is equal to the product of the external part and the whole of the other secant.
(5)
7(7 + x) = 8(8 + 13) = 8 × 21 = 168 ( divide both sides by 7 )
7 + x = 24 ( subtract 7 from both sides )
x = 17
(6)
9(9 + 2x - 7) = 10(10 + 8)
9(2x + 2) = 10 × 18 = 180 ( divide both sides by 9 )
2x + 2 = 20 ( subtract 2 from both sides )
2x = 18 ( divide both sides by 2 )
x = 9
Then
MN = 2x - 7 = 2(9) - 7 = 18 - 7 = 11
Answer:
1/49
Step-by-step explanation:
You wrote the problem correctly. You just needed to multiply instead of add.
1/7*1/7=1/49
So the answer is 1/49.
9514 1404 393
Answer:
- c = 2
- segments 10, 8, 6 (top down)
Step-by-step explanation:
The sum of top and bottom bases is twice the midsegment.
(c² +6) +(c² +2) = 2(4c)
2c² -8c +8 = 0 . . . . . . . . . subtract 8c
2(c -2)² = 0 . . . . . . . . factor
c = 2 . . . . . . the value that makes the binomial be zero
The value of c is 2; the segment lengths (top-down) are 10, 8, 6.
Answer:
The Answer is: 78.
Step-by-step explanation:
This one makes you think!
Let n = the number.
The number is greater than 50 and less than 85:
50 < n < 85
Some of the factors are 13 and 3.
So, multiply 13 * 3 = 39.
Multiply again by 2:
39 * 2 = 78.
78 can be factored as:
13 * 3 * 2 = 78, and it is greater than 50 and less than 85.
The number is 78.
Hope this helps! Have an Awesome Day!! :-)
