Answer:
a) w = 5
b) x = 5 or 6
Step-by-step explanation:
A) The propety you want to use is that opposite sides of a parallelogram are equal. In this case AB = DC and AD = BC
It then givs you the measure for AB and DC, so you know they are equal
w^2 - 5 = 4w
w^2 - 4w - 5 = 0
I am going to complete the square
(w - 2)^2 - 9 = 0
(w - 2)^2 = 9
w - 2 = +/- 3
w = +/-3 + 2
w = -1 or 5
Since length can't be negative we know w = 5. It's not because w is negative mind you, but the side 4w is negative and w^2 - 5 would be negative. if you could make w a negative number and still have 4w and w^2 - 5 be positive, that negative w would work
B) here you want to use opposite angles are equal in a parallelogram. So B = D and A = C
It gives us B and D so set them equal.
25 = x^2 - 11x + 55
x^2 - 11x + 30 = 0
(x - 11/2)^2 - 1/4 = 0
(x - 11/2)^2 = 1/4
x - 11/2 = +/-1/2
x = +/- 1/2 + 11/2
x = 5 or 6
Here both answers work.
Answer:
4x^4y^6
Step-by-step explanation:
(4x²y³)²=
4x^4y^6
<span>The answer is 2431.01. At the end of the first year, 5 percent of 2000 is taken and added on to the 2000 you started with. At the end of the second, another 5 percent of that higher number is taken and added on, and so on and so forth until you end up receiving 2431.01 in total after 4 years.</span>
<span>At the city park there were 15 blue jays, 6 cardinals, and 9 mockingbirds.
6 mockingbirds is 2/3 of 9
so 2/3 of 6 is 4 cardinals
5 blue jays is 1/3 of 15
so 1/3 of 6 cardinals is 2 cardinals
There are 20 cardinals, how many mockingbirds.
the ratio is 2/3, so 20/30 is your answer
hope this helps</span>
