In this problem, you have already shown the solution.

24 = 3y - 6 => 30 = 3y, y =10

12 = 5x + 2 => 10 = 5x , x = 2

And yes, basically parallel sides must have the same length

These are the answers:

for 17.) x = 2
y = 10

for 18.) mid segment = (side 1 + side 2) / 2 -->
19 = (24 + side2) / 2 -->
38 = 24 + side2,

thus, side 2 = 14 units

3 0

3 years ago

west deposited $15,000 in a savings account earning 2.5% simple interest what was the total interest earned at the end od 8 year

Lelechka [254]

2.5% of 15,00$ would be 375$. Assuming the "simple interest" is yearly, you would multiply 375 by 8, which is 3000$ :P (Another way to solve this would be to multiply the 2.5 by 8, which would be 20. and 20% of 15,000$ would also be 3,000$)

5 0

4 years ago

Read 2 more answers

the sequence {a_n} is defined by a_1= 1 and a_(n+1) = 1/2( a_n+ (4/a_n) ) for >=1. Assuming that {a_n} converges, find its li

katen-ka-za [31]

$a_{n+1}=\dfrac{a_n+\frac4{a_n}}2$

Assuming convergence of the sequence, we have $a_n\to L$ for some limit $L$ as $n\to\infty$ . This also means $a_{n+1}\to L$ . So in the above equation, we can substitute and solve for $L$ :

$L=\dfrac{L+\frac4L}2$

$\implies2L^2=L^2+4$

$\implies L^2=4\implies L=\pm2$

The limit can only be one of these values; otherwise, the sequence would be divergent. To decide which one is correct, we can observe that the sequence is strictly positive. So $L=2$ .

4 0

3 years ago