A. Diagonals bisect each other is always true. Each diagonal<span> cuts the </span>other<span> into two equal parts. It is because of the parallel lines in the parallelogram. </span>

5 0

3 years ago

Read 2 more answers

What is the sum of all of the perfect squares between

Nonamiya [84]

Answer:

(-138) is the answer.

Step-by-step explanation:

Perfect square numbers between 15 and 25 inclusive are 16 and 25.

Sum of perfect square numbers 16 and 25 = 16 + 25 = 41

Sum of the remaining numbers between 15 and 25 inclusive means sum of the numbers from 17 to 24 plus 15.

Since sum of an arithmetic progression is defined by the expression

$S_{n}=\frac{n}{2}[2a+(n-1)d]$

Where n = number of terms

a = first term of the sequence

d = common difference

$S_{8}=\frac{8}{2} [2\times 17+(8-1)\times 1]$

= 4(34 + 7)

= 164

Sum of 15 + $S_{8}$ = 15 + 164 = 179

Now the difference between 41 and sum of perfect squares between 15 and 25 inclusive = $41-179$

= -138

Therefore, answer is (-138).

7 0

3 years ago

Rich and Melinda are comparing mortgages. Their mortgage is for $249,000. If they choose 15 years at 4%, their monthly payment w

jok3333 [9.3K]

Answer:

Term payback = 15 yr = $331527.6 20 yr = $394389.65 rounded up by 0.002. Shows 15 yr is $62862.05 less as result of return 5 yrs earlier.

Step-by-step explanation:

20 yr = $1643.29 at 105% = 82.1645 paid x 12 x 20 = 19719.48 interest + 1561.1257 to loan x 12 x 20 = 374670.168 total with Int at 5%= 394389.648

15 yr=$1841.82.= $1841.82 - 73.6728= 1768.1472 to loan p/m = 20 yr 318266.496 + interest of 73.6728 = 13261.104 total with interest at 4%=331527.6

6 0

3 years ago

Find the area of a square if its sides measure 2 2/3m

olga55 [171]

Answer:

$7\dfrac{1}{9}\ m^2$

Step-by-step explanation:

If the length of the square side is a units, then the area of the square is

$A=a^2\ un^2.$

In your case, the side length is

$a=2\dfrac{2}{3}\ m,$

then the area is

$A=2\dfrac{2}{3}\cdot 2\dfrac{2}{3}\\ \\ \\A=\dfrac{2\cdot 3+2}{3}\cdot \dfrac{2\cdot 3+2}{3}\\ \\ \\A=\dfrac{8}{3}\cdot \dfrac{8}{3}\\ \\ \\A=\dfrac{64}{9}\\ \\ \\A=7\dfrac{1}{9}\ m^2$

6 0

4 years ago