Answer:
<h2>x = 44</h2>
Step-by-step explanation:
In each parallelogram angles at one side add up to 180°.
Therefore we have the equation:
<em>subtract 48 from both sides</em>
<em>divide both sides by 3</em>
Answer:
a8 = 512.
Step-by-step explanation:
This is geometric sequence with common ratio r = 2 and first term a1 = 4.
nth term = a1 r^(n-1)
So a8 = 4 2(^8-1)
= 4 * 2^7
= 4*128 = 512.
Answer:
Twelve dollars per hour
Step-by-step explanation:
Add 2 1/2 and 4 1/4 together to get 6 3/4. Put it into decimal form (6.75), and divide. 81 ÷ 6.75 = 12.
Answer:
Step-by-step explanation:
Complex numbers identity:
The complex numbers identity is:
Square of the sum:
In this question:
So
9514 1404 393
Answer:
C. 12cm
Step-by-step explanation:
The equation for the perimeter of the rectangle is ...
P = 2(L+W)
34 = 2(n +m)
Solving for m, we get
m = 17 -n . . . . . . . divide by 2, subtract n
__
The Pythagorean theorem gives the relationship between the sides and the hypotenuse
m^2 +n^2 = (n+1)^2
(17 -n)^2 +n^2 = (n +1)^2 . . . . . . substitute for m
289 -34n +n^2 +n^2 = n^2 +2n +1 . . . . eliminate parentheses
n^2 -36n +288 = 0 . . . . . . . put in standard form
(n -12)(n -24) = 0 . . . . . . . . . factor
n = 12 . . . . . . . . . . n=24 is an extraneous solution here
The value of n is 12 cm.
