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
Well, how long will it take you to drive 135 miles at 55mph?
at 55 mph, you're doing 55 miles every hour, so we can simply get the quotient of 135/55 and that's how many hours it'll take you to drive 135 miles at that speed.
![\bf \cfrac{135}{55}\implies \cfrac{27}{11}\implies 2\frac{5}{11}~hours\implies \textit{about 2hrs, 27 minutes}](https://tex.z-dn.net/?f=%5Cbf%20%5Ccfrac%7B135%7D%7B55%7D%5Cimplies%20%5Ccfrac%7B27%7D%7B11%7D%5Cimplies%202%5Cfrac%7B5%7D%7B11%7D~hours%5Cimplies%20%5Ctextit%7Babout%202hrs%2C%2027%20minutes%7D)
so, it takes you that long, however, from 3:15 to 5:00pm there are only 45mins + 60mins or 1hr and 45 minutes, namely 1¾ hr.
so 2hrs and 27 minutes is much later than 1¾ hr, so, no dice, you can't arrive at 5pm, actually you'll arrive around 5:42pm.
Don't be worried friend :)
-(y + 2) + 8 = 3
=> -(y + 2) = -5
=> y + 2 = 5
=> y = 3
Answer:
-True-
Explanation:
the left side
60
is equal to the right side
60
, which means that the given statement is always true.
Answers:
T-shirt = $25
Shorts = $15
Books = $50
Shoes = $30
Cell phones = $750
===============================================
Explanation:
Taking 10% of a number is simply moving the decimal point over one spot to the left.
For example, the selling price of a t-shirt is $250.00 and taking 10% of this gets us to $25.00
As another example, 10% of 150.0 is 15.0
If a whole number ends with a 0, then taking 10% of the number means we chop that zero off.