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
Answer:
112 students
Step-by-step explanation:
Let T be the total number of students in the band.
From the question,
We were told that 37.5% of the total owns their individual instruments and this amount to 42 students
The total number of students can calculated for as follows:
37.5% x T = 42
37.5/100 x T = 42
Cross multiply to express in linear form
37.5 x T = 100 x 42
Divide both side by 37.5
T = (100 x 42) /37.5
T = 112
Therefore, there are 112 students in the band
I don't know if this is what you mean, sorry!!
<u>Answer:</u>
1: "You can't lie because Honesty is the best policy!"
2: "Wake up! You know that The early bird catches the worm!"
3: "It will be okay, Every cloud has a silver lining."
<em><u>Hope </u></em><em><u>this </u></em><em><u>helps!</u></em><em><u>!</u></em>
Answer:
8 cm and 9 cm
Step-by-step explanation:
This is the answer because:
1) The other two sides have to equal somethinng that is bigger than 13.
2) 5 cm + 8 cm = 13 cm, therefore, 5 cm and 8 cm is not the correct answer.
3) 6 cm + 7 cm = 13 cm, therefore, 6 cm and 7 cm is not the correct answer.
4) 7 cm + 2 cm = 9 cm, therefore, 7 cm and 2 cm is not the correct answer.
5) Finally, 8 cm + 9 cm = 17 cm, therefore, it is the correct answer since it has a bigger value than 13.
Hope this helps! :D
Answer:
134.8
Step-by-step explanation:
