Step-by-step explanation:
For 1st question
In a parm ABCD
5x - 4 = 16 ( being opposite sides of parallelogram)
5x = 16 + 4
5x = 20
x = 20 / 5
x = 4
3y + 1 = 22 (being opposite sides of parallelogram)
3y = 22 -1
3y = 21
y = 21 / 3
y = 7
For second question
In parm PQRS
Diagonals bisect each other so
x + 4 = 12
x = 12 - 4
x = 8
x + y = 32
8 + y = 32
y = 32 - 8
y = 24
Hope it will help :)❤
Answer:
Length = 16 inches and width = 12inches
Step-by-step explanation:
A = 192 in² . The width is 4 + 1/2x. therefore let x = length
Area = LW
192 = x(4 + 1/2 x)
192 = 4x + 1/2x²
384 = 8x + x² Multiply each term by 2 to make a
384 + 16 = x² + 8x + 16 Complete the square
400 = (x + 4)²

± 20 = x + 4
20 = x + 4 or -20 = x + 4
20 - 4 = x or -20 - 4 = x
16 = x or -24 = x reject the negative amount
Length = 16
width = 4 + 1/2(16); 4 + 8 = 12
Answer:
14/45
Step-by-step explanation:
So we have the fraction:

We can do this algebraically. Follow to following steps:
Let's let this number equal to n. Thus:

Since there is only 1 digit repeating, let's multiply everything by 10. So:

Now, subtract n from both sides:

On the left, substitute the number for n. On the right, combine like terms:

All of the 1s will cancel. So:

Subtract:

Divide both sides by 9:

Remove the decimal by multiplying both sides by 10:

Reduce:

And we're done!
Use a calculator to check:
