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1 year ago

Help could you explain step by step?

Mathematics

2 answers:

natima [27]1 year ago

7 0

TR=PT as diagonals bisect each other in parallelogram

y=5x+1--(1)

Similarly

QT=TS

2y=6x+10-(2)

Equate both equations in (2)

2(5x+1)=6x+10
10x+2=6x+10
4x=8
x=2

Now

y=5(2)+1
y=11

mel-nik [20]1 year ago

6 0

Answer:

x = 2 , y = 11

Step-by-step explanation:

the diagonals of a parallelogram bisect each other , then

PT = TR , that is

y = 5x + 1 → (1)

QT = TS , that is

2y = 6x + 10 → (2)

substitute y = 5x + 1 into (2)

2(5x + 1) = 6x + 10

10x + 2 = 6x + 10 ( subtract 6x from both sides )

4x + 2 = 10 ( subtract 2 from both sides )

4x = 8 ( divide both sides by 4 )

x = 2

substitute x = 2 into either of the 2 equations for corresponding value of y

substituting into (1)

y = 5(2) + 1 = 10 + 1 = 11

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Dafna1 [17]

Answer:

1 quarter, 1 dime, and 4 nickels

Step-by-step explanation:

First you subtract the 18 cents that were found in the pocket from the total amount of 73 cents to get the total amount of the 6 other coins:

73-18=55.

So the total amount of the 6 coins equals 55 cents.

The quarter = 25 cents

The dime = 10 cents

The 4 nickels = 5 + 5 + 5 + 5 = 20

1 quarter, 1 dime, and 4 nickels add up to the necessary total of 6 coins and when you add up the total cents of the quarter, dime, and nickels, 25 + 10 + 20 it comes to the sum of 55, which is how much the 6 coins are worth in total.

So therefore, the answer is 1 quarter, 1 dime, and 4 nickels.

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2 years ago

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xz_007 [3.2K]

Answer:

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Step-by-step explanation:

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$\frac{a}{b}*\frac{c}{d}=\frac{a*c}{b*d}$