Answer:
The values of x and y in the diagonals of the parallelogram are x=0 and y=5
Step-by-step explanation:
Given that ABCD is a parallelogram
And segment AC=4x+10
From the figure we have the diagonals AC=3x+y and BD=2x+y
By the property of parallelogram the diagonals are congruent
∴ we can equate the diagonals AC=BD
That is 3x+y=2x+y
3x+y-(2x+y)=2x+y-(2x+y)
3x+y-2x-y=2x+y-2x-y
x+0=0 ( by adding the like terms )
∴ x=0
Given that segment AC=4x+10
Substitute x=0 we have AC=4(0)+10
=0+10
=10
∴ AC=10
Now (3x+y)+(2x+y)=10
5x+2y=10
Substitute x=0, 5(0)+2y=10
2y=10
∴ y=5
∴ the values of x and y are x=0 and y=5
In the decimal form 6.5. is the answer
11 63/100
11 * 100=1100
1100 + 63=1163
1163/100
Answer : The total amount of sand in the sandbox of Jim is, 26000 g
Step-by-step explanation :
As we are given that:
Jim has amount of sand in sandbox = 19700 g
Jim brings amount of sand from beach and added to sandbox = 6300 g
Now we have to determine the total amount of sand in the sandbox of Jim.
Total amount of sand in sandbox = Amount of sand before addition + Amount of sand after addition
Total amount of sand in sandbox = 19700 g + 6300 g
Total amount of sand in sandbox = 26000 g
Therefore, the total amount of sand in the sandbox of Jim is, 26000 g
