Answer:

Step-by-step explanation:
AD = 4
AC = 11
DC = 11 - 4 = 7
First, find BD using the right triangle altitude theorem:

Plug in the values


Use pythagorean theorem to find x:
x² = AD² + BD²
Plug in the values





Take the square root of both sides




Answer:
step 1. 6x2=12 first place way
step 2. 12×2=24
step 3. 24+6=30 second place way
Answer:
$2.72
Step-by-step explanation:
The increase from last week is the fraction ...
(new price)/(old price) -1 = (1.82/1.65) -1 = 17/165
so the amount of increase Sally will pay this week is ...
17/165×$26.40 = $2.72
_____
<em>Comment on the working</em>
We could work this several ways. Perhaps most straightforward would be to determine how many gallons Sally bought last week, and multiply that by the change in price. Or, the number of gallons could be multiplied by the new price per gallon and the difference from the old purchase amount found.
If you look at the numbers, you see that we have effectively done it the first way. The change in price is $0.17 per gallon, and the number of gallons Sally bought is $26.40/$1.65.
We know that area=0.5*base*height.
Thus, the equation would look like:
127.5=0.5*base*height
That means, 255 = base*height.
We know base is 17
Then, we divide 255 by 17. That gets us the height.
The height equals 15.
We have that
the first balance indicates--------> 10 g
the second balance indicates--------> 0 g
the third balance indicates--------> 7.5 g
therefore
the <span>mass of the chick is (10+0+7.5)----> 17.5 g
the answer is
17.5 g</span>