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4 years ago

Look at the figure, . Find the values of x and y. x = 5, y = 7 x = 6, y = 8 x = 6, y = 9 x = 7, y = 10

Mathematics

1 answer:

Colt1911 [192]4 years ago

5 0

Answer:

x = 6, y = 9

Step-by-step explanation:

One of the properties of a parallelogram is

The diagonals bisect each other, hence

2x = y + 3 → (1)

2y = 3x → (2)

Rearrange (1) in terms of y by subtracting 3 from both sides

y = 2x - 3 → (3)

Substitute y = 2x - 3 into (2)

2(2x - 3) = 3x ← distribute left side

4x - 6 = 3x ( add 6 to both sides )

4x = 3x + 6 ( subtract 3x from both sides )

x = 6

Substitute x = 6 into (3) for value of y

y = (2 × 6) - 3 = 12 - 3 = 9

Hence x = 6 and y = 9

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3 years ago

2. Evaluate the expression e + c for e = 9 and c = 5. a. 14 c. 15 b. 45 d. 4

slega [8]

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Step-by-step explanation:

If e=9 and c=5 you would replace e+c with those

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3 years ago

The weight of an object is equal to 3\4 of its own weight plus 3\4of a pound. What is the weight?

Phoenix [80]

Answer:

The weight of the object is 3 kg.

Step-by-step explanation:

Step 1:

Let object weight be x kg.

Now, as per the available data,

3/4 kg + 3/4 (x kg) = x kg

Step 2:

3/4 (1 + x) = x

1 + x = 4x/3

1 = x (4/3 - 1)

x = 1 / (1/3)

x = 3

Weight of Object is 3 kg.

Step 3:

Let's check if this value satisfies the first equation.

3/4 + 3/4 x 3 = 3/4 + 9/4 = 12/4 = 3

Hence proved.

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3 years ago

Look at the figure, . Find the values of ​x and y. x = 5, y = 7 x = 6, y = 8 x = 6, y = 9 x = 7, y = 10

Look at the figure, . Find the values of x and y. x = 5, y = 7 x = 6, y = 8 x = 6, y = 9 x = 7, y = 10